施工图阶段 上部构造
（30+40+30）m预应力混凝土连续箱梁（桥宽8.5m）
设 计 计 算 书
铁道第三勘察设计院集团有限公司
2013年10月
杭(州)长(兴)高速公路北延（泗安至浙苏界）工程 施工图设计 上部结构计算
目 录
1、桥梁概况………………………………………………………………………………2 2、技术标准及规范………………………………………………………………………2 3、主要材料………………………………………………………………………………2 4、温度模式………………………………………………………………………………3 5、施工步骤简述…………………………………………………………………………3 6、结构离散………………………………………………………………………………3 7、受力阶段计算要素
（30+40+30）m预应力混凝土连续箱梁（桥宽8.5m）主要计算结果…………………4
铁道第三勘察设计院集团有限公司 2013年10月
第1页
杭(州)长(兴)高速公路北延（泗安至浙苏界）工程 施工图设计 上部结构计算
1. 桥梁概况
本桥共一联：(30+40+30)m预应力混凝土连续箱梁；下部结构：桥台采用肋板台，桥墩采用柱式墩，墩台均采用钻孔桩基础。。
本桥平面位于直线上。
2. 技术标准及规范
（一）技术标准
1、荷载标准 ：采用公路-Ⅱ级 2、安全等级 ：一级 3、地震烈度：Ⅵ度
4、预应力控制要求：按全预应力构件设计 （二）技术规范
(1)《城市道路设计规范》CJJ37-90； (2)《城市桥梁设计规范》CJJ11-2011； (3)《公路工程技术标准》JTG B01-2003； (4)《公路桥涵设计通用规范》JTG D60-2004；
(5)《公路钢筋混凝土及预应力混凝土桥涵设计规范》 JTGD62-2004； (6)《公路圬工桥涵设计规范》 JTG D61-2005； (7)《公路桥涵地基与基础设计规范》JTG D63-2007； (8)《公路桥梁抗震设计细则》JTG/T B02-01-2008； (9)《公路工程混凝土结构防腐蚀技术规范》JTG/TB07-1-2006； (10)《混凝土结构耐久性设计规范》GB/T 50476-2008； (11)《公路交通安全设施设计细则》JTG/T D81-2006； (12)《建筑工程抗震设防分类标准》GB 50223-2008； (13)《公路桥涵施工技术规范》JTG/T F50-2011； (14)《城市桥梁抗震设计规范》CJJ166-2011；
3. 主要材料
1）混凝土：C50混凝土，重力密度γ=26.0 kN/m3，弹性模量为Ec=3.45×104MPa；
2）预应力钢绞线：弹性模量Ep=1.95×105 MPa，公称直径15.2mm，公称面积139mm2，抗拉标准强度为1860Mpa，松驰系数＝0.3； 3）钢束张拉控制应力： 详见各联钢束构造图；
4）锚具：设计参照OVM型锚具，锚具变形、钢筋回缩取6mm（一端）； 5）波纹管：圆形塑料波纹管；
铁道第三勘察设计院集团有限公司 2013年10月 第2页
杭(州)长(兴)高速公路北延（泗安至浙苏界）工程 施工图设计 上部结构计算
6）管道摩擦系数：ｕ＝0.17； 7）管道偏差系数：κ＝0.0015； 8）不均匀沉降：Δ＝5mm； 9）年平均相对湿度：80％。
4．温度模式
1、温度模式：结构所有单元均计入均匀温差作用、计入梯度温差作用。 a) 有效温度作用效应：升温温差取25℃，降温温差取-35 ℃。
b) 梯度温差：按《公路桥涵设计通用规范》（JTGD60-2004）推荐的模式：
至梁顶距(m) 0.0 模式一
温度 14 5.5 0 至梁顶距(m) 0.0 模式二
温度 -7 -2.75 0 0.1
0.4
0.1
0.4
5．施工步骤简述
1) 浇筑箱梁，张拉预应力。
2) 浇注现浇层砼及防撞护栏；桥面铺装为10～15.6cm沥青砼，防撞护栏采用SA级加强型护栏 。 3) 完成3650天收缩徐变
6．结构离散
1、将（30+40+30）m跨箱梁（8.5m宽）离散为132个单元，133个节点，单元、结点按照顺序
) 划分。单元划分和预应力立面图见如下结构离散图。 (支点节点：3 42 92 131
7．受力阶段计算要素
(30+40+30)m预应力混凝土连续箱梁主要计算结果
铁道第三勘察设计院集团有限公司 2013年10月 第3页
桥梁博士计算报告桥梁博士
（二）主要计算结果
1、承载能力极限状态截面强度验算
a)正截面抗弯强度验算
主梁各单元强度均能通过；强度校核包络图及最不利单元强度数据如下：
单元截面强度验算输出（荷载组合I，部分单元） 表2-1
单元号
2345671011121314151617181920
节点号
2345671011121314151617181920
内力类型最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
弯矩设计值Md (KN.M)
-3.76
强度 R(KN.M)
-3.7e+04
受力性质上拉受弯上拉受弯上拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
R是否通过
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
-158
-70.6
-3.7e+04
-3.57e+04
-754
3.e+03
-3.57e+04
2.e+04
1.1e+03
5.67e+03
2.e+04
3.07e+04
2.08e+03
7.61e+03
3.07e+04
3.25e+04
3.00e+03
9.46e+03
3.25e+04
3.43e+04
3.87e+03
1.12e+04
3.43e+04
3.61e+04
4.69e+03
1.29e+04
3.61e+04
3.79e+04
5.45e+03
1.44e+04
3.79e+04
3.97e+04
6.16e+03
1.59e+04
3.97e+04
4.15e+04
6.81e+03
1.73e+04
4.15e+04
4.3e+04
7.34e+03
1.86e+04
4.3e+04
4.42e+04
7.82e+03
2.09e+04
4.42e+04
4.6e+04
8.61e+03
2.29e+04
4.6e+04
4.73e+04
9.24e+03
2.46e+04
4.73e+04
4.77e+04
9.69e+03
2.6e+04
4.77e+04
4.77e+04
9.94e+03
2.7e+04
4.77e+04
4.77e+04
9.99e+03
2.78e+04
4.77e+04
4.77e+04
9.86e+03
2.81e+04
4.77e+04
4.77e+04
9.53e+034.77e+04
第4页桥梁博士计算报告桥梁博士
212223242526272829303132333435363738394041424344
212223242526272829303132333435363738394041424344
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
2.82e+044.77e+04下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
9.01e+03
2.79e+04
4.77e+04
4.77e+04
8.29e+03
2.73e+04
4.77e+04
4.77e+04
7.38e+03
2.e+04
4.77e+04
4.76e+04
6.28e+03
2.52e+04
4.76e+04
4.68e+04
4.98e+03
2.37e+04
4.68e+04
4.92e+04
3.49e+03
2.18e+04
4.92e+04
4.71e+04
1.81e+03
1.97e+04
4.71e+04
4.46e+04
-69.4
1.75e+04
-3.06e+04
4.46e+04
-2.43e+03
1.52e+04
-3.52e+04
4.01e+04
-5.13e+03
1.28e+04
-4.16e+04
3.57e+04
-8.08e+03
1.11e+04
-4.84e+04
3.18e+04
-9.95e+03
9.73e+03
-5.24e+04
2.85e+04
-1.16e+04
8.32e+03
-5.6e+04
3.15e+04
-1.34e+04
6.82e+03
-5.9e+04
2.45e+04
-1.52e+04
5.34e+03
-6.14e+04
2.2e+04
-1.71e+04
3.71e+03
-6.34e+04
2.06e+04
-1.91e+04
2.19e+03
-6.5e+04
1.96e+04
-2.12e+04
567
-6.61e+04
1.e+04
-2.34e+04
-1.09e+03
-6.65e+04
-6.65e+04
-2.57e+04
-2.54e+03
-6.65e+04
-6.65e+04
-2.81e+04
-5.31e+03
-6.65e+04
-6.65e+04
-3.26e+04
-1.95e+03
-6.65e+04
-6.65e+04
-2.71e+04
-177
-6.65e+04
-6.65e+04
第5页桥梁博士计算报告桥梁博士
最小弯矩
454748495051525354555657585960616263656667
454748495051525354555657585960616263656667
-2.42e+04
1.78e+03
-6.65e+04
1.e+04
上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
-2.14e+04
3.7e+03
-6.65e+04
1.96e+04
-1.e+04
5.61e+03
-6.61e+04
2.06e+04
-1.65e+04
7.51e+03
-6.5e+04
2.2e+04
-1.43e+04
9.26e+03
-6.34e+04
2.45e+04
-1.2e+04
1.11e+04
-6.15e+04
3.15e+04
-9.91e+03
1.28e+04
-5.9e+04
2.85e+04
-7.86e+03
1.45e+04
-5.6e+04
3.18e+04
-5.e+03
1.65e+04
-5.24e+04
3.58e+04
-3.62e+03
1.97e+04
-4.84e+04
4.05e+04
-105
2.27e+04
-4.16e+04
4.57e+04
3.09e+03
2.6e+04
4.57e+04
5.08e+04
5.55e+03
2.91e+04
5.08e+04
5.5e+04
7.73e+03
3.19e+04
5.5e+04
5.62e+04
9.7e+03
3.44e+04
5.62e+04
5.79e+04
1.15e+04
3.66e+04
5.79e+04
5.88e+04
1.31e+04
3.85e+04
5.88e+04
5.e+04
1.44e+04
4.02e+04
5.e+04
5.e+04
1.56e+04
4.15e+04
5.e+04
5.e+04
1.66e+04
4.26e+04
5.e+04
5.e+04
1.74e+04
4.33e+04
5.e+04
5.e+04
1.8e+04
4.38e+04
5.e+04
5.e+04
1.83e+04
4.39e+04
5.e+04
5.e+04
1.85e+045.e+04
第6页桥梁博士计算报告桥梁博士
68697071727374757677787980818283848586878091
68697071727374757677787980818283848586878091
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
4.38e+045.e+04下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯上拉受弯上拉受弯上拉受弯
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
1.83e+04
4.33e+04
5.e+04
5.e+04
1.8e+04
4.26e+04
5.e+04
5.e+04
1.74e+04
4.15e+04
5.e+04
5.e+04
1.66e+04
4.02e+04
5.e+04
5.e+04
1.56e+04
3.85e+04
5.e+04
5.e+04
1.44e+04
3.66e+04
5.e+04
5.88e+04
1.31e+04
3.44e+04
5.88e+04
5.79e+04
1.15e+04
3.19e+04
5.79e+04
5.62e+04
9.7e+03
2.91e+04
5.62e+04
5.5e+04
7.73e+03
2.6e+04
5.5e+04
5.08e+04
5.55e+03
2.27e+04
5.08e+04
4.57e+04
3.09e+03
1.97e+04
4.57e+04
4.05e+04
-100
1.e+04
-4.16e+04
3.58e+04
-3.62e+03
1.45e+04
-4.84e+04
3.18e+04
-5.88e+03
1.28e+04
-5.24e+04
2.85e+04
-7.86e+03
1.11e+04
-5.6e+04
3.15e+04
-9.91e+03
9.27e+03
-5.9e+04
2.45e+04
-1.2e+04
7.51e+03
-6.14e+04
2.2e+04
-1.43e+04
5.61e+03
-6.34e+04
2.06e+04
-1.65e+04
3.7e+03
-6.5e+04
1.96e+04
-1.e+04
1.78e+03
-6.61e+04
1.e+04
-2.14e+04
-173
-6.65e+04
-6.65e+04
-2.42e+04
-1.95e+03
-6.65e+04
-6.65e+04
第7页桥梁博士计算报告桥梁博士
最小弯矩
92939495969799100101102103104105106107108109110111112113114
92939495969799100101102103104105106107108109110111112113114
-2.71e+04
-5.31e+03
-6.65e+04
-6.65e+04
上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
-3.26e+04
-2.54e+03
-6.65e+04
-6.65e+04
-2.81e+04
-1.09e+03
-6.65e+04
-6.65e+04
-2.57e+04
570
-6.65e+04
1.e+04
-2.34e+04
2.19e+03
-6.65e+04
1.96e+04
-2.12e+04
3.72e+03
-6.61e+04
2.06e+04
-1.91e+04
5.35e+03
-6.5e+04
2.2e+04
-1.71e+04
6.82e+03
-6.34e+04
2.45e+04
-1.52e+04
8.3e+03
-6.14e+04
3.15e+04
-1.34e+04
9.73e+03
-5.9e+04
2.85e+04
-1.16e+04
1.11e+04
-5.6e+04
3.18e+04
-9.95e+03
1.28e+04
-5.24e+04
3.57e+04
-8.07e+03
1.54e+04
-4.84e+04
4.01e+04
-5.13e+03
1.76e+04
-4.16e+04
4.46e+04
-2.42e+03
1.98e+04
-3.52e+04
4.46e+04
-68.6
2.19e+04
-3.06e+04
4.86e+04
1.81e+03
2.38e+04
4.86e+04
4.92e+04
3.49e+03
2.53e+04
4.92e+04
5.02e+04
4.98e+03
2.65e+04
5.02e+04
4.76e+04
6.28e+03
2.74e+04
4.76e+04
4.77e+04
7.38e+03
2.8e+04
4.77e+04
4.77e+04
8.29e+03
2.83e+04
4.77e+04
4.77e+04
9.01e+03
2.82e+04
4.77e+04
4.77e+04
9.53e+034.77e+04
第8页桥梁博士计算报告桥梁博士
115116117118119120121122123124125126127128129130131
115116117118119120121122123124125126127128129130131
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
2.78e+044.77e+04下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯上拉受弯
是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是是
9.86e+03
2.71e+04
4.77e+04
4.77e+04
1.00e+04
2.61e+04
4.77e+04
4.77e+04
9.94e+03
2.47e+04
4.77e+04
4.77e+04
9.69e+03
2.3e+04
4.77e+04
4.73e+04
9.24e+03
2.09e+04
4.73e+04
4.6e+04
8.61e+03
1.86e+04
4.6e+04
4.42e+04
7.82e+03
1.73e+04
4.42e+04
4.3e+04
7.34e+03
1.59e+04
4.3e+04
4.15e+04
6.81e+03
1.44e+04
4.15e+04
3.97e+04
6.16e+03
1.29e+04
3.97e+04
3.79e+04
5.45e+03
1.12e+04
3.79e+04
3.61e+04
4.69e+03
9.43e+03
3.61e+04
3.43e+04
3.87e+03
7.59e+03
3.43e+04
3.25e+04
3.00e+03
5.66e+03
3.25e+04
3.07e+04
2.08e+03
3.63e+03
3.07e+04
2.e+04
1.1e+03
-71.2
2.e+04
-3.57e+04
-755-3.57e+04
图2-1-1 单元正截面承载能力极限组合最大内力及对应抗力图
图2-1-2 单元正截面承载能力极限组合最小内力及对应抗力图第9页桥梁博士计算报告桥梁博士
正截面抗弯承载力均满足要求。b)规范第9.1.12条Mud/Mcr值要求验算
单元号
节点号2
2
33
3
44
4
55
5
66
6
77
7
88
8
99
9
1010
10
11
类型最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
Mud（Nu）-3.7e+04-3.7e+04-3.57e+04-3.57e+04-3.57e+04-3.57e+042.e+042.e+042.e+042.e+043.07e+043.07e+043.07e+043.07e+043.25e+043.25e+043.25e+043.25e+043.43e+043.43e+043.43e+043.43e+043.61e+043.61e+043.61e+043.61e+043.79e+043.79e+043.79e+043.79e+043.97e+043.97e+043.97e+043.97e+044.15e+04
Mcr-3.39e+04-3.39e+04-3.27e+04-3.27e+04-3.27e+04-3.27e+042.84e+042.84e+042.84e+042.84e+042.93e+042.93e+042.93e+042.93e+043.03e+043.03e+043.03e+043.03e+043.14e+043.14e+043.14e+043.14e+043.29e+043.29e+043.29e+043.29e+043.44e+043.44e+043.44e+043.44e+043.6e+043.6e+043.6e+043.6e+043.76e+04
Mud/Mcr1.091.091.091.091.091.091.021.021.021.021.051.051.051.051.071.071.071.071.091.091.091.091.11.11.11.11.11.11.11.11.11.11.11.11.1
受力性质上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
设计弯矩-3.76-158-70.6-754-70.6-7543.e+031.1e+033.e+031.1e+035.67e+032.08e+035.67e+032.08e+037.61e+033.00e+037.61e+033.00e+039.46e+033.87e+039.46e+033.87e+031.12e+044.69e+031.12e+044.69e+031.29e+045.45e+031.29e+045.45e+031.44e+046.16e+031.44e+046.16e+031.59e+04
第10页桥梁博士计算报告桥梁博士
最小弯矩
11
11
1212
12
1313
13
1414
14
1515
15
1616
16
1717
17
1818
18
1919
19
2020
20
2121
21
2222
22
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
4.15e+044.15e+044.15e+044.3e+044.3e+044.3e+044.3e+044.42e+044.42e+044.42e+044.42e+044.6e+044.6e+044.6e+044.6e+044.73e+044.73e+044.73e+044.73e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+04
3.76e+043.76e+043.76e+043.9e+043.9e+043.9e+043.9e+044.02e+044.02e+044.02e+044.02e+044.17e+044.17e+044.17e+044.17e+044.29e+044.29e+044.29e+044.29e+044.33e+044.33e+044.33e+044.33e+044.3e+044.3e+044.3e+044.3e+044.28e+044.28e+044.28e+044.28e+044.25e+044.25e+044.25e+044.25e+044.22e+044.22e+044.22e+044.22e+044.19e+044.19e+044.19e+044.19e+044.15e+044.15e+044.15e+044.15e+04
1.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.111.111.111.111.111.111.111.111.121.121.121.121.131.131.131.131.141.141.141.141.151.151.151.15
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
6.81e+031.59e+046.81e+031.73e+047.34e+031.73e+047.34e+031.86e+047.82e+031.86e+047.82e+032.09e+048.61e+032.09e+048.61e+032.29e+049.24e+032.29e+049.24e+032.46e+049.69e+032.46e+049.69e+032.6e+049.94e+032.6e+049.94e+032.7e+049.99e+032.7e+049.99e+032.78e+049.86e+032.78e+049.86e+032.81e+049.53e+032.81e+049.53e+032.82e+049.01e+032.82e+049.01e+032.79e+048.29e+032.79e+048.29e+03
第11页桥梁博士计算报告桥梁博士
2323
23
2424
24
2525
25
2626
26
2727
27
2828
28
2929
29
3030
30
3131
31
3232
32
3333
33
3434
34
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
4.77e+044.77e+044.77e+044.77e+044.76e+044.76e+044.76e+044.76e+044.68e+044.68e+044.68e+044.68e+044.92e+044.92e+044.92e+044.92e+044.71e+044.71e+044.71e+044.71e+044.46e+04-3.06e+044.46e+04-3.06e+044.46e+04-3.52e+044.46e+04-3.52e+044.01e+04-4.16e+044.01e+04-4.16e+043.57e+04-4.84e+043.57e+04-4.84e+043.18e+04-5.24e+043.18e+04-5.24e+042.85e+04-5.6e+042.85e+04-5.6e+043.15e+04-5.9e+043.15e+04
4.12e+044.12e+044.12e+044.12e+044.07e+044.07e+044.07e+044.07e+043.92e+043.92e+044.27e+044.27e+044.13e+044.13e+044.13e+044.13e+043.86e+043.86e+043.92e+043.92e+043.5e+04-3.13e+043.5e+04-3.13e+043.39e+04-3.59e+043.39e+04-3.59e+042.92e+04-4.04e+042.92e+04-4.04e+042.42e+04-4.88e+042.42e+04-4.88e+042.06e+04-5.25e+042.06e+04-5.25e+041.76e+04-5.58e+041.76e+04-5.58e+041.5e+04-5.e+041.5e+04
1.161.161.161.161.171.171.171.171.191.191.11.11.191.191.191.191.221.221.21.21.270.9781.270.9781.320.9811.320.9811.371.031.371.031.480.9921.480.9921.540.9981.540.9981.621.01.621.02.11.02.1
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯
2.73e+047.38e+032.73e+047.38e+032.e+046.28e+032.e+046.28e+032.52e+044.98e+032.52e+044.98e+032.37e+043.49e+032.37e+043.49e+032.18e+041.81e+032.18e+041.81e+031.97e+04-69.41.97e+04-69.41.75e+04-2.43e+031.75e+04-2.43e+031.52e+04-5.13e+031.52e+04-5.13e+031.28e+04-8.08e+031.28e+04-8.08e+031.11e+04-9.95e+031.11e+04-9.95e+039.73e+03-1.16e+049.73e+03-1.16e+048.33e+03-1.34e+048.32e+03
第12页桥梁博士计算报告桥梁博士
最小弯矩
3535
35
3636
36
3737
37
3838
38
3939
39
4040
40
4141
41
4242
42
4343
43
4444
44
4545
45
46
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
-5.9e+042.45e+04-6.14e+042.45e+04-6.14e+042.2e+04-6.34e+042.2e+04-6.34e+042.06e+04-6.5e+042.06e+04-6.5e+041.96e+04-6.61e+041.96e+04-6.61e+041.e+04-6.65e+041.e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+041.e+04-6.65e+041.e+04-6.65e+041.96e+04-6.61e+04
-5.e+041.27e+04-6.16e+041.27e+04-6.16e+041.09e+04-6.36e+041.09e+04-6.36e+049.41e+03-6.56e+049.41e+03-6.56e+048.25e+03-6.7e+048.25e+03-6.7e+047.82e+03-6.77e+047.82e+03-6.77e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.83e+04-6.83e+04-6.83e+04-6.83e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+047.26e+03-6.76e+047.26e+03-6.76e+047.53e+03-6.69e+04
1.01.930.9971.930.9972.020.9972.020.9972.190.9912.190.9912.380.9872.380.9872.420.9822.420.9820.9780.9780.9780.9780.9780.9780.9780.9780.9740.9740.9740.9740.9790.9790.9790.9790.9790.9790.9790.9792.60.9842.60.9842.60.988
上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯
-1.34e+046.82e+03-1.52e+046.82e+03-1.52e+045.34e+03-1.71e+045.34e+03-1.71e+043.71e+03-1.91e+043.71e+03-1.91e+042.19e+03-2.12e+042.19e+03-2.12e+04566-2.34e+04567-2.34e+04-1.09e+03-2.57e+04-1.09e+03-2.57e+04-2.54e+03-2.81e+04-2.54e+03-2.81e+04-5.31e+03-3.26e+04-5.31e+03-3.26e+04-1.95e+03-2.71e+04-1.95e+03-2.71e+04-177-2.42e+04-177-2.42e+041.78e+03-2.14e+041.78e+03-2.14e+043.7e+03-1.e+04
第13页桥梁博士计算报告桥梁博士
46
46
4747
47
4848
48
4949
49
5050
50
5151
51
5252
52
5353
53
5454
54
5555
55
5656
56
5757
57
58
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
1.96e+04-6.61e+042.06e+04-6.5e+042.06e+04-6.5e+042.2e+04-6.34e+042.2e+04-6.34e+042.45e+04-6.15e+042.45e+04-6.15e+043.15e+04-5.9e+043.15e+04-5.9e+042.85e+04-5.6e+042.85e+04-5.6e+043.18e+04-5.24e+043.18e+04-5.24e+043.58e+04-4.84e+043.58e+04-4.84e+044.05e+04-4.16e+044.05e+04-4.16e+044.57e+044.57e+044.57e+044.57e+045.08e+045.08e+045.08e+045.08e+045.5e+045.5e+045.5e+045.5e+045.62e+04
7.53e+03-6.69e+048.49e+03-6.55e+048.49e+03-6.55e+049.71e+03-6.36e+049.71e+03-6.36e+041.13e+04-6.17e+041.13e+04-6.17e+041.33e+04-5.91e+041.33e+04-5.91e+041.56e+04-5.62e+041.56e+04-5.62e+041.83e+04-5.3e+041.83e+04-5.3e+042.15e+04-4.95e+042.15e+04-4.95e+042.61e+04-4.15e+042.61e+04-4.15e+043.07e+043.07e+043.07e+043.07e+043.49e+043.49e+043.49e+043.49e+043.86e+043.86e+043.8e+043.8e+044.04e+04
2.60.9882.430.9922.430.9922.270.9972.270.9972.170.9972.170.9972.370.9982.370.9981.830.9961.830.9961.740.91.740.91.670.9781.670.9781.551.01.551.01.491.491.491.491.461.461.461.461.421.421.451.451.39
下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
3.7e+03-1.e+045.61e+03-1.65e+045.61e+03-1.65e+047.51e+03-1.43e+047.51e+03-1.43e+049.26e+03-1.2e+049.26e+03-1.2e+041.11e+04-9.91e+031.11e+04-9.91e+031.28e+04-7.86e+031.28e+04-7.86e+031.45e+04-5.e+031.45e+04-5.e+031.65e+04-3.62e+031.65e+04-3.62e+031.97e+04-1051.97e+04-1052.27e+043.09e+032.27e+043.09e+032.6e+045.55e+032.6e+045.55e+032.91e+047.73e+032.91e+047.73e+033.19e+04
第14页桥梁博士计算报告桥梁博士
最小弯矩
58
58
5959
59
6060
60
6161
61
6262
62
6363
63
6565
65
6666
66
6767
67
6868
68
6969
69
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
5.62e+045.62e+045.62e+045.79e+045.79e+045.79e+045.79e+045.88e+045.88e+045.88e+045.88e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+04
4.04e+044.04e+044.04e+044.2e+044.2e+044.2e+044.2e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.29e+044.29e+044.29e+044.29e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+04
1.391.391.391.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.371.371.371.371.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.38
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
9.7e+033.19e+049.7e+033.44e+041.15e+043.44e+041.15e+043.66e+041.31e+043.66e+041.31e+043.85e+041.44e+043.85e+041.44e+044.02e+041.56e+044.02e+041.56e+044.15e+041.66e+044.15e+041.66e+044.26e+041.74e+044.26e+041.74e+044.33e+041.8e+044.33e+041.8e+044.38e+041.83e+044.38e+041.83e+044.39e+041.85e+044.39e+041.85e+044.38e+041.83e+044.38e+041.83e+044.33e+041.8e+044.33e+041.8e+04
第15页桥梁博士计算报告桥梁博士
7070
70
7171
71
7272
72
7373
73
7474
74
7575
75
7676
76
7777
77
7878
78
7979
79
8080
80
8181
81
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
5.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.e+045.88e+045.88e+045.88e+045.88e+045.79e+045.79e+045.79e+045.79e+045.62e+045.62e+045.62e+045.62e+045.5e+045.5e+045.5e+045.5e+045.08e+045.08e+045.08e+045.08e+044.57e+044.57e+044.57e+044.57e+044.05e+04-4.16e+044.05e+04-4.16e+043.58e+04-4.84e+043.58e+04
4.29e+044.29e+044.29e+044.29e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.28e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.27e+044.2e+044.2e+044.2e+044.2e+044.04e+044.04e+044.04e+044.04e+043.8e+043.8e+043.86e+043.86e+043.49e+043.49e+043.49e+043.49e+043.07e+043.07e+043.07e+043.07e+042.61e+04-4.15e+042.61e+04-4.15e+042.15e+04-4.95e+042.15e+04
1.371.371.371.371.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.381.391.391.391.391.451.451.421.421.461.461.461.461.491.491.491.491.551.01.551.01.670.9781.67
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯
4.26e+041.74e+044.26e+041.74e+044.15e+041.66e+044.15e+041.66e+044.02e+041.56e+044.02e+041.56e+043.85e+041.44e+043.85e+041.44e+043.66e+041.31e+043.66e+041.31e+043.44e+041.15e+043.44e+041.15e+043.19e+049.7e+033.19e+049.7e+032.91e+047.73e+032.91e+047.73e+032.6e+045.55e+032.6e+045.55e+032.27e+043.09e+032.27e+043.09e+031.97e+04-1001.97e+04-1001.e+04-3.62e+031.e+04
第16页桥梁博士计算报告桥梁博士
最小弯矩
8282
82
8383
83
8484
84
8585
85
8686
86
8787
87
8888
88
9090
90
9191
91
9292
92
93
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
-4.84e+043.18e+04-5.24e+043.18e+04-5.24e+042.85e+04-5.6e+042.85e+04-5.6e+043.15e+04-5.9e+043.15e+04-5.9e+042.45e+04-6.14e+042.45e+04-6.14e+042.2e+04-6.34e+042.2e+04-6.34e+042.06e+04-6.5e+042.06e+04-6.5e+041.96e+04-6.61e+041.96e+04-6.61e+041.e+04-6.65e+041.e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04
-4.95e+041.83e+04-5.3e+041.83e+04-5.3e+041.56e+04-5.62e+041.56e+04-5.62e+041.33e+04-5.91e+041.33e+04-5.91e+041.13e+04-6.16e+041.13e+04-6.16e+049.72e+03-6.36e+049.72e+03-6.36e+048.49e+03-6.55e+048.49e+03-6.55e+047.53e+03-6.69e+047.53e+03-6.69e+047.26e+03-6.76e+047.26e+03-6.76e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.79e+04-6.83e+04-6.83e+04-6.83e+04-6.83e+04-6.8e+04-6.8e+04
0.9781.740.91.740.91.830.9961.830.9962.370.9982.370.9982.170.9972.170.9972.260.9972.260.9972.430.9922.430.9922.60.9882.60.9882.60.9842.60.9840.9790.9790.9790.9790.9790.9790.9790.9790.9740.9740.9740.9740.9780.978
上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯
-3.62e+031.45e+04-5.88e+031.45e+04-5.88e+031.28e+04-7.86e+031.28e+04-7.86e+031.11e+04-9.91e+031.11e+04-9.91e+039.27e+03-1.2e+049.27e+03-1.2e+047.51e+03-1.43e+047.51e+03-1.43e+045.61e+03-1.65e+045.61e+03-1.65e+043.7e+03-1.e+043.7e+03-1.e+041.78e+03-2.14e+041.78e+03-2.14e+04-173-2.42e+04-173-2.42e+04-1.95e+03-2.71e+04-1.95e+03-2.71e+04-5.31e+03-3.26e+04-5.31e+03-3.26e+04-2.54e+03-2.81e+04
第17页桥梁博士计算报告桥梁博士
93
93
9494
94
9595
95
9696
96
9797
97
98
98
9999
99
100100
100
101101
101
102102
102
103103
103
104104
104
105
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+04-6.65e+041.e+04-6.65e+041.e+04-6.65e+041.96e+04-6.61e+041.96e+04-6.61e+042.06e+04-6.5e+042.06e+04-6.5e+042.2e+04-6.34e+042.2e+04-6.34e+042.45e+04-6.14e+042.45e+04-6.14e+043.15e+04-5.9e+043.15e+04-5.9e+042.85e+04-5.6e+042.85e+04-5.6e+043.18e+04-5.24e+043.18e+04-5.24e+043.57e+04-4.84e+043.57e+04-4.84e+044.01e+04-4.16e+044.01e+04-4.16e+044.46e+04
-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+04-6.8e+047.82e+03-6.76e+047.82e+03-6.76e+048.25e+03-6.7e+048.25e+03-6.7e+049.41e+03-6.56e+049.41e+03-6.56e+041.09e+04-6.36e+041.09e+04-6.36e+041.27e+04-6.16e+041.27e+04-6.16e+041.5e+04-5.e+041.5e+04-5.e+041.76e+04-5.58e+041.76e+04-5.58e+042.06e+04-5.25e+042.06e+04-5.25e+042.42e+04-4.88e+042.42e+04-4.88e+042.92e+04-4.04e+042.92e+04-4.04e+043.39e+04
0.9780.9780.9780.9780.9780.9782.420.9842.420.9842.380.9872.380.9872.190.9912.190.9912.020.9972.020.9971.930.9971.930.9972.11.02.11.01.621.01.621.01.540.9981.540.9981.480.9921.480.9921.371.031.371.031.32
上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯
-2.54e+03-2.81e+04-1.09e+03-2.57e+04-1.09e+03-2.57e+04571-2.34e+04570-2.34e+042.19e+03-2.12e+042.19e+03-2.12e+043.72e+03-1.91e+043.72e+03-1.91e+045.35e+03-1.71e+045.35e+03-1.71e+046.82e+03-1.52e+046.82e+03-1.52e+048.3e+03-1.34e+048.3e+03-1.34e+049.73e+03-1.16e+049.73e+03-1.16e+041.11e+04-9.95e+031.11e+04-9.95e+031.28e+04-8.07e+031.28e+04-8.07e+031.54e+04-5.13e+031.54e+04-5.13e+031.76e+04
第18页桥梁博士计算报告桥梁博士
最小弯矩
105
105
106106
106
107107
107
108108
108
109109
109
110110
110
111111
111
112112
112
113113
113
114114
114
115115
115
116116
116
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
-3.52e+044.46e+04-3.52e+044.46e+04-3.06e+044.46e+04-3.06e+044.86e+044.86e+044.86e+044.86e+044.92e+044.92e+044.92e+044.92e+045.02e+045.02e+045.02e+045.02e+044.76e+044.76e+044.76e+044.76e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+04
-3.59e+043.39e+04-3.59e+043.5e+04-3.13e+043.5e+04-3.13e+043.92e+043.92e+043.87e+043.87e+044.13e+044.13e+044.13e+044.13e+044.29e+044.29e+043.94e+043.94e+044.07e+044.07e+044.07e+044.07e+044.12e+044.12e+044.12e+044.12e+044.15e+044.15e+044.15e+044.15e+044.19e+044.19e+044.19e+044.19e+044.22e+044.22e+044.22e+044.22e+044.25e+044.25e+044.25e+044.25e+044.28e+044.28e+044.28e+044.28e+04
0.9811.320.9811.270.9781.270.9781.241.241.261.261.191.191.191.191.171.171.271.271.171.171.171.171.161.161.161.161.151.151.151.151.141.141.141.141.131.131.131.131.121.121.121.121.111.111.111.11
上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯上拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
-2.42e+031.76e+04-2.42e+031.98e+04-68.61.98e+04-68.62.19e+041.81e+032.19e+041.81e+032.38e+043.49e+032.38e+043.49e+032.53e+044.98e+032.53e+044.98e+032.65e+046.28e+032.65e+046.28e+032.74e+047.38e+032.74e+047.38e+032.8e+048.29e+032.8e+048.29e+032.83e+049.01e+032.83e+049.01e+032.82e+049.53e+032.82e+049.53e+032.78e+049.86e+032.78e+049.86e+032.71e+041.00e+042.71e+041.00e+04
第19页桥梁博士计算报告桥梁博士
117117
117
118118
118
119119
119
120120
120
121121
121
122122
122
123123
123
124124
124
125125
125
126126
126
127127
127
128128
128
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩
4.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.77e+044.73e+044.73e+044.73e+044.73e+044.6e+044.6e+044.6e+044.6e+044.42e+044.42e+044.42e+044.42e+044.3e+044.3e+044.3e+044.3e+044.15e+044.15e+044.15e+044.15e+043.97e+043.97e+043.97e+043.97e+043.79e+043.79e+043.79e+043.79e+043.61e+043.61e+043.61e+043.61e+043.43e+043.43e+043.43e+043.43e+043.25e+043.25e+043.25e+04
4.3e+044.3e+044.3e+044.3e+044.33e+044.33e+044.33e+044.33e+044.29e+044.29e+044.29e+044.29e+044.17e+044.17e+044.17e+044.17e+044.02e+044.02e+044.02e+044.02e+043.9e+043.9e+043.9e+043.9e+043.76e+043.76e+043.76e+043.76e+043.6e+043.6e+043.6e+043.6e+043.44e+043.44e+043.44e+043.44e+043.29e+043.29e+043.29e+043.29e+043.14e+043.14e+043.14e+043.14e+043.03e+043.03e+043.03e+04
1.111.111.111.111.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.11.091.091.091.091.071.071.07
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯
2.61e+049.94e+032.61e+049.94e+032.47e+049.69e+032.47e+049.69e+032.3e+049.24e+032.3e+049.24e+032.09e+048.61e+032.09e+048.61e+031.86e+047.82e+031.86e+047.82e+031.73e+047.34e+031.73e+047.34e+031.59e+046.81e+031.59e+046.81e+031.44e+046.16e+031.44e+046.16e+031.29e+045.45e+031.29e+045.45e+031.12e+044.69e+031.12e+044.69e+039.43e+033.87e+039.43e+033.87e+037.59e+033.00e+037.59e+03
第20页桥梁博士计算报告桥梁博士
最小弯矩
129129
129
130130
130
131131
131
132
最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩最大弯矩最小弯矩
3.25e+043.07e+043.07e+043.07e+043.07e+042.e+042.e+042.e+042.e+04-3.57e+04-3.57e+04-3.57e+04-3.57e+04-3.7e+04-3.7e+04
3.03e+042.93e+042.93e+042.93e+042.93e+042.84e+042.84e+042.84e+042.84e+04-3.27e+04-3.27e+04-3.27e+04-3.27e+04-3.39e+04-3.39e+04
1.071.051.051.051.051.021.021.021.021.091.091.091.091.091.09
下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯下拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯上拉受弯
3.00e+035.66e+032.08e+035.66e+032.08e+033.63e+031.1e+033.63e+031.1e+03-71.2-755-71.2-755-4.35-158
(注意：当上表中“受力性质”为“非受弯”时，Mcr验算无意义，相应表中Mcr值为零、Mud为轴力强度值)
基本满足规范Mud/Mcr≥1.0的要求。c)斜截面抗剪强度验算
斜截面抗剪强度验算取用的荷载效应为基本组合效应值，按照新《公桥规》第5.2.9条验算截面尺寸，按照第5.2.7～5.2.验算斜截面抗剪承载力。 详细计算结果见附件一。
2、持久状况正常使用极限状态拉应力计算
a）短期荷载效应组合
全预应力混凝土受弯构件在作用短期效应组合下，正截面拉应力≥0 MPa。
现浇构件主拉应力≤0.4ftk=1.06MPa。计算结果：满足规范6.3.1条要求；抗裂验算满足要求。
图2-2-1 短期效应组合(组合2)最小正应力图
图2-2-2 短期效应组合(组合2)最大主拉应力图
正常使用阶段荷载组合2应力 表2-2-1
正应力(Mpa)
单元号
节点号
上缘最小
2
2
第21页主应力(Mpa)
容许值0
最大主拉-0.366
容许值-1.06
下缘最小2.48
2.08
桥梁博士计算报告桥梁博士
2
2
33
3
44
4
55
5
66
6
77
7
88
8
99
9
1010
10
1111
11
1212
12
1313
13
1414
14
1515
15
1616
16
1717
17
1818
18
1919
19
2020
20
21
2.081.831.831.1.2.072.072.222.222.322.322.252.252.172.172.072.071.971.971.871.871.821.821.731.731.691.691.731.731.81.81.831.831.811.811.751.751.
2.482.772.772.512.512.472.472.482.482.542.542.692.692.882.883.093.093.353.353.613.613.843.843.813.813.783.783.613.613.393.393.173.173.023.022.962.962.98
00000000000000000000000000000000000000
-0.366-0.418-6.59e-02-3.18e-02-3.18e-02-2.08e-02-2.08e-02-5.2e-02-5.21e-02-8.73e-02-8.73e-02-0.104-0.104-0.125-0.125-0.151-0.151-0.138-0.138-8.99e-02-8.97e-02-5.11e-02-5.11e-02-2.09e-02-2.09e-02-4.43e-02-4.44e-02-0.124-0.124-8.9e-02-8.9e-02-5.62e-02-5.62e-02-3.13e-02-3.13e-02-1.58e-02-1.58e-02-3.2e-02
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第22页桥梁博士计算报告桥梁博士
21
21
2222
22
2323
23
2424
24
2525
25
2626
26
2727
27
2828
28
2929
29
3030
30
3131
31
3232
32
3333
33
3434
34
3535
35
3636
36
3737
37
3838
38
3939
39
40
1.1.491.491.291.291.061.060.9140.9250.7740.7740.7371.261.51.51.811.812.072.072.972.973.233.233.383.383.483.483.483.483.373.373.223.222.992.992.52.51.96
2.983.083.083.263.263.483.483.524.444.574.574.484.634.194.194.6.6.24.23.723.723.33.32.832.832.472.472.272.272.22.22.242.242.362.362.2.2.97
00000000000000000000000000000000000000
-3.2e-02-5.42e-02-5.42e-02-8.26e-02-8.26e-02-6.21e-02-6.21e-02-1.e-02-6.95e-02-1.9e-02-1.9e-02-0.118-0.226-0.395-0.395-0.284-0.284-0.4-0.399-0.622-0.622-0.598-0.598-0.405-0.405-0.217-0.217-6.37e-02-6.37e-02-2.16e-02-2.16e-02-7.44e-02-7.44e-02-0.196-0.196-0.284-0.284-0.388
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第23页桥梁博士计算报告桥梁博士
40
40
4141
41
4242
42
4343
43
4444
44
4545
45
46
46
4747
47
4848
48
4949
49
5050
50
5151
51
5252
52
5353
53
5454
54
5555
55
5656
56
5757
57
5858
58
59
1.961.391.390.0.1.461.462.062.062.2.3.163.163.423.423.63.63.753.753.83.83.763.763.673.673.483.482.682.682.482.482.32.32.171.651.711.711.87
2.973.323.324.174.173.193.192.782.782.382.382.022.021.81.81.651.651.621.621.71.71.911.912.222.222.52.52.762.763.093.093.333.333.493.343.223.222.96
00000000000000000000000000000000000000
-0.388-0.456-0.456-0.558-0.74-0.626-0.626-0.56-0.56-0.441-0.441-0.335-0.335-0.171-0.171-9.03e-02-9.03e-02-1.76e-02-1.76e-02-7.86e-02-7.88e-02-0.201-0.2-0.352-0.352-0.408-0.408-0.278-0.277-0.221-0.222-0.177-0.177-0.108-3.53e-02-2.19e-02-2.19e-02-8.04e-02
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第24页桥梁博士计算报告桥梁博士
59
59
6060
60
6161
61
6262
62
6363
63
6565
65
6666
66
6767
67
6868
68
6969
69
7070
70
7171
71
7272
72
7373
73
7474
74
7575
75
7676
76
7777
77
78
1.872.122.122.442.442.712.712.942.943.113.113.233.233.33.33.333.333.33.33.233.233.113.112.942.942.712.712.442.442.122.121.871.871.711.711.662.182.3
2.962.562.562.082.081.691.691.361.361.081.080.8780.8790.7530.7530.7070.7070.7530.7530.8790.8791.081.081.361.361.691.692.082.082.562.562.972.973.223.223.343.493.33
00000000000000000000000000000000000000
-8.04e-02-0.154-0.154-0.172-0.172-0.129-0.129-9.41e-02-9.41e-02-6.62e-02-6.62e-02-4.28e-02-4.28e-02-2.42e-02-2.42e-02-1.12e-02-1.12e-02-2.49e-02-2.49e-02-4.37e-02-4.37e-02-6.74e-02-6.74e-02-9.56e-02-9.56e-02-0.13-0.13-0.173-0.173-0.156-0.156-8.18e-02-8.18e-02-2.27e-02-2.27e-02-3.47e-02-0.107-0.177
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第25页桥梁博士计算报告桥梁博士
78
78
7979
79
8080
80
8181
81
8282
82
8383
83
8484
84
8585
85
8686
86
8787
87
8888
88
9090
90
9191
91
9292
92
9393
93
9494
94
9595
95
9696
96
97
2.32.482.482.682.683.483.483.663.663.763.763.83.83.753.753.63.63.423.423.163.162.2.2.062.061.461.460.6390.6391.391.391.961.962.492.492.992.993.22
3.333.093.092.772.772.512.512.222.221.921.921.71.71.621.621.651.651.81.82.022.022.382.382.782.783.193.194.174.173.323.322.972.972.2.2.362.362.23
00000000000000000000000000000000000000
-0.177-0.222-0.222-0.278-0.278-0.408-0.408-0.352-0.352-0.201-0.201-7.88e-02-7.88e-02-1.8e-02-1.8e-02-9.12e-02-9.12e-02-0.172-0.172-0.336-0.336-0.443-0.443-0.562-0.562-0.628-0.628-0.741-0.558-0.455-0.455-0.388-0.388-0.284-0.284-0.196-0.196-7.43e-02
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第26页桥梁博士计算报告桥梁博士
97
97
98
98
9999
99
100100
100
101101
101
102102
102
103103
103
104104
104
105105
105
106106
106
107107
107
108108
108
109109
109
110110
110
111111
111
112112
112
113113
113
114114
114
115115
115
116
3.223.373.373.483.483.483.483.383.383.233.232.972.972.072.071.811.811.511.511.270.750.7730.7730.9370.9241.061.061.291.291.491.491.1.1.751.751.811.811.83
2.232.22.22.272.272.482.482.832.833.33.33.723.724.184.184.4.4.174.174.624.4.554.554.463.533.463.463.243.243.063.062.972.972.952.953.013.013.15
00000000000000000000000000000000000000
-7.43e-02-2.15e-02-2.15e-02-6.34e-02-6.34e-02-0.217-0.217-0.405-0.404-0.598-0.598-0.623-0.623-0.4-0.4-0.284-0.284-0.395-0.395-0.228-0.119-1.e-02-1.96e-02-6.88e-02-1.94e-02-6.16e-02-6.16e-02-8.21e-02-8.21e-02-5.39e-02-5.39e-02-3.18e-02-3.18e-02-1.56e-02-1.56e-02-3.11e-02-3.11e-02-5.61e-02
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
第27页桥梁博士计算报告桥梁博士
116
116
117117
117
118118
118
119119
119
120120
120
121121
121
122122
122
123123
123
124124
124
125125
125
126126
126
127127
127
128128
128
129129
129
130130
130
131131
131
132
1.831.81.81.731.731.691.691.731.731.821.821.871.871.971.972.072.072.172.172.252.252.322.322.222.222.072.071.1.1.831.832.08
3.153.383.383.63.63.773.773.813.813.843.843.613.613.363.363.13.12.882.882.692.692.552.552.482.482.472.472.512.512.772.772.48
00000000000000000000000000000000
-5.76e-02-8.e-02-9.08e-02-0.124-0.126-4.43e-02-4.59e-02-2.08e-02-2.2e-02-5.13e-02-5.13e-02-8.98e-02-8.98e-02-0.138-0.138-0.151-0.151-0.125-0.125-0.104-0.104-8.72e-02-8.72e-02-5.21e-02-5.21e-02-2.08e-02-2.08e-02-3.1e-02-3.1e-02-6.56e-02-0.418-0.366
-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06-1.06
b）长期荷载效应组合
全预应力构件混凝土受弯构件在作用长期效应组合下，正截面不得出现拉应力。计算结果：满足规范6.3.1条要求。
第28页桥梁博士计算报告桥梁博士
图2-2-3 长期效应组合(组合1)最小正应力图
正常使用阶段荷载组合1应力 表2-2-2单元号2345671011121314151617181920
节点号233445566771010111112121313141415151616171718181919202021
正应力(Mpa)
上缘最小4.223.943.943.963.9.134.134.274.274.344.344.234.234.14.13.973.973.823.823.693.693.613.613.513.513.473.473.553.553.693.693.783.783.823.823.823.823.77
下缘最小3.363.713.713.613.613.683.683.823.824.024.024.324.324.674.675.065.065.55.55.955.956.366.366.466.466.546.546.436.436.236.236.086.086.06.06.06.06.07
容许值00000000000000000000000000000000000000
第29页桥梁博士计算报告桥梁博士
212223242526272829303132333435363738394041424344
2122222323242425252626272728282929303031313232333334343535363637373838393940404141424243434444
3.773.683.683.543.543.373.373.333.343.33.33.424.074.544.545.15.15.625.626.956.957.397.397.697.697.917.918.028.028.08.07.937.937.767.767.237.236.656.656.036.035.355.356.096.096.736.73
6.076.216.216.436.436.686.686.687.837.917.917.717.97.237.237.677.676.946.946.186.185.535.534.784.784.194.193.783.783.563.563.463.463.493.493.723.724.014.014.344.345.235.234.224.223.833.83
00000000000000000000000000000000000000000000000
第30页桥梁博士计算报告桥梁博士
45
454748495051525354555657585960616263656667
454747484849495050515152525353545455555656575758585959606061616262636365656666676768
7.347.347.97.98.18.18.218.218.288.288.228.228.068.067.837.837.477.476.266.265.815.815.45.45.094.434.374.374.444.444.634.634.924.925.175.175.385.385.545.545.665.665.735.735.755.755.73
3.473.473.163.163.033.033.013.013.133.133.43.43.843.844.424.424.914.915.465.466.076.076.566.566.966.776.86.86.636.636.266.265.795.795.395.395.065.0.84.84.614.614.494.494.444.444.49
00000000000000000000000000000000000000000000000
第31页桥梁博士计算报告桥梁博士
68697071727374757677787980818283848586878091
6869697070717172727373747475757676777778787979808081818282838384848585868687878880909191
5.735.665.665.545.545.385.385.175.174.924.924.634.634.444.444.374.374.445.15.415.415.815.816.266.267.467.467.837.838.068.068.228.228.278.278.218.218.18.17.97.97.347.346.736.736.096.09
4.494.614.614.84.85.065.065.395.395.795.796.276.276.636.636.86.86.776.966.566.566.076.075.465.4.924.924.424.423.853.853.43.43.133.133.013.013.033.033.163.163.473.473.833.834.224.22
00000000000000000000000000000000000000000000000
第32页桥梁博士计算报告桥梁博士
92
92939495969799100101102103104105106107108109110111112113114
92939394949595969697979999100100101101102102103103104104105105106106107107108108109109110110111111112112113113114114115
5.355.356.036.036.656.657.237.237.767.767.937.938.08.08.028.027.917.917.697.697.397.396.956.955.625.625.15.14.544.544.093.433.33.33.363.343.373.373.543.543.673.673.773.773.823.823.82
5.235.234.344.344.014.013.723.723.493.493.463.463.563.563.783.784.194.194.784.785.525.526.176.176.936.937.667.667.217.217.7.77.97.97.866.76.676.676.426.426.26.26.066.065.995.995.99
00000000000000000000000000000000000000000000000
第33页桥梁博士计算报告桥梁博士
115116117118119120121122123124125126127128129130131
115116116117117118118119119120120121121122122123123124124125125126126127127128128129129130130131131132
3.823.783.783.693.693.553.553.473.473.513.513.613.613.693.693.823.823.973.974.14.14.234.234.344.344.274.274.134.133.963.963.943.944.22
5.996.076.076.226.226.436.436.546.546.466.466.366.365.955.955.55.55.065.0.674.674.324.324.024.023.823.823.693.693.613.613.713.713.36
0000000000000000000000000000000000
3、持久状况和短暂状况构件的压应力计算
a）持久状况下
使用阶段预应力混凝土截面受压区最大压应力≤0.5fck＝16.2MPa(公式（7.1.5-1）)；主压应力≤0.6fck＝19.44MPa（公式（7.1.6-1））。最大压应力<0.5fck，最大主压应力≤0.6fck。满足规范要求。各截面应力值如下（按规范要求，下列数值中最大应力值为控制值）。
图2-3-1 预应力构件标准值效应组合(组合3)最大正压应力图
第34页桥梁博士计算报告桥梁博士
图2-3-2 预应力构件标准值效应组合(组合3)最大主压应力图
正常使用阶段荷载组合3应力 表2-3-1
单元号2345671011121314151617
节点号2334455667710101111121213131414151516161717
正应力(Mpa)
上缘最大7.447.197.197.427.427.677.677.7.8.078.078.078.078.058.058.028.027.977.977.957.957.977.978.058.058.188.188.418.418.698.69
下缘最大3.914.374.374.334.334.454.454.624.624.8.865.25.25.595.596.026.026.56.57.07.07.477.477.667.667.817.817.777.777.637.63
容许值16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
7.447.197.197.427.427.677.677.7.8.078.078.078.078.058.058.028.027.977.977.957.957.977.978.058.058.188.188.418.418.698.69
主应力(Mpa)
最大主压
容许值19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
第35页桥梁博士计算报告桥梁博士
18
1819202122232425262728293031323334353637383940
18191920202121222223232424252526262727282829293030313132323333343435353636373738383939404041
8.98.99.049.049.139.139.159.159.129.129.029.028.8.8.868.878.838.838.969.6110.010.010.610.611.011.012.312.312.712.713.013.013.213.213.213.213.213.213.113.112.912.912.412.411.811.811.2
7.617.617.677.677.797.797.977.978.228.228.548.548.888.888.9710.110.310.310.210.49.769.7610.310.39.629.628.948.948.328.327.537.536.96.96.476.476.236.236.126.126.166.166.426.426.756.757.13
16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
8.98.99.049.049.139.139.159.159.129.129.029.028.8.8.9710.110.310.310.210.410.010.010.610.611.011.012.312.312.712.713.013.013.213.213.213.213.213.213.113.112.912.912.412.411.811.811.2
19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
第36页桥梁博士计算报告桥梁博士
41424344454748495051525354555657585960616263
41424243434444454547474848494950505151525253535454555556565757585859596060616162626363
11.210.610.611.311.311.911.912.512.513.013.013.313.313.413.413.513.513.413.413.313.313.113.112.812.811.711.711.311.310.910.910.710.110.110.110.210.210.510.510.810.811.111.111.311.311.511.5
7.138.28.26.96.96.396.395.945.945.65.65.455.455.435.435.545.545.825.826.286.286.886.887.317.317.787.788.328.328.768.769.158.968.978.978.798.798.418.417.927.927.57.57.167.166.96.9
16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
11.210.610.611.311.311.911.912.512.513.013.013.313.313.413.413.513.513.413.413.313.313.113.112.812.811.711.711.311.310.910.910.710.110.110.110.210.210.510.510.810.811.111.111.311.311.511.5
19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
第37页桥梁博士计算报告桥梁博士
65
6566676869707172737475767778798081828384858687
65666667676868696970707171727273737474757576767777787879798080818182828383848485858686878788
11.711.711.811.811.811.811.811.811.711.711.511.511.311.311.111.110.810.810.510.510.210.210.110.110.110.711.011.011.311.311.711.712.812.813.113.113.313.313.413.413.513.513.413.413.313.313.0
6.76.76.566.566.56.56.566.566.76.76.96.97.167.167.57.57.927.928.418.418.798.798.978.978.969.148.768.768.328.327.787.787.327.326.886.886.296.295.825.825.545.545.435.435.455.455.6
16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
11.711.711.811.811.811.811.811.811.711.711.511.511.311.311.111.110.810.810.510.510.210.210.110.110.110.711.011.011.311.311.711.712.812.813.113.113.313.313.413.413.513.513.413.413.313.313.0
19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
第38页桥梁博士计算报告桥梁博士
809192939495969799100101102103104105106107108109110111
809091919292939394949595969697979999100100101101102102103103104104105105106106107107108108109109110110111111
13.012.512.511.911.911.311.310.610.611.211.211.811.812.412.412.912.913.113.113.213.213.213.213.213.213.013.012.712.712.312.311.111.110.610.610.110.19.638.978.858.858.918.8.918.919.049.04
5.65.945.946.396.396.916.918.28.27.137.136.746.746.426.426.166.166.126.126.236.236.476.476.96.97.537.538.328.328.948.949.629.6210.310.39.769.7610.310.210.310.310.18.998.878.878.548.54
16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
13.012.512.511.911.911.311.310.610.611.211.211.811.812.412.412.912.913.113.113.213.213.213.213.213.213.013.012.712.712.312.311.111.110.610.610.110.110.310.210.310.310.18.998.918.919.049.04
19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
第39页桥梁博士计算报告桥梁博士
112
112113114115116117118119120121122123124125126127128129130131
112113113114114115115116116117117118118119119120120121121122122123123124124125125126126127127128128129129130130131131132
9.139.139.179.179.149.149.069.068.918.918.78.78.438.438.198.198.068.067.977.977.957.957.977.978.028.028.058.058.078.078.068.067.7.7.677.677.427.427.197.197.44
8.228.227.977.977.787.787.667.667.617.617.637.637.777.777.817.817.667.667.477.477.07.06.56.56.026.025.595.595.25.24.8.8.624.624.454.454.334.334.374.373.91
16.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.216.2
9.139.139.179.179.149.149.069.068.918.918.78.78.438.438.198.198.068.067.977.977.957.957.977.978.028.028.058.058.078.078.068.067.7.7.677.677.427.427.197.197.44
19.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.4419.44
b）短暂状况下
施工荷载作用下要求受压区最大压应力δtcc≤0.7fck'＝0.7x0.9x32.4=20.412MPa，本桥最大压应力≤0.7 fck'， 满足规范要求。最大拉应力δtct≤0.7ftk'＝0.7x0.9x2.65=1.6695MPa.
第40页桥梁博士计算报告桥梁博士
施工阶段混凝土应力最值表（Mpa） 表2-3-2
施工阶段号
123
上缘最大10.09.288.51
上缘最小3.093.593.52
下缘最大9.679.168.48
下缘最小1.962.983.15
4、钢束最大应力计算
钢束最大应力
钢束号12345671011
最大应力(Mpa)-1.16e+03-1.13e+03-1.13e+03-1.17e+03-1.18e+03-1.18e+03-1.18e+03-1.18e+03-1.19e+03-1.2e+03-1.19e+03
容许最大应力(Mpa)
-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03-1.21e+03
0.9590.9340.9340.9670.9750.9750.9750.9750.9830.9920.983
表2-4
最大应力/容许最大应力
5、位移计算与拱度设置
荷载短期效应组合长期挠度与预拱度设置 表2-5
节点号2267112
荷载短期效应组合长期竖向挠度(mm)
-9.18-22.5-9.19
预加应力产生消除结构自重后的长期挠度(mm)结构挠度(mm)
162516
-2.95-5.24-2.96
挠度验算 预拱度(mm) 8.095.378.08 6、支承反力汇总 标准组合支反力表（kN） 支座节点号 34292131 7、预应力钢束长度及钢束引伸量 钢束长度及引伸量（m） 钢束号1234 钢束曲线长度左引申量10010010060.1 0.3210.3190.3180.201 右引申量0.3210.3190.3180.201 合计引伸量0.10.6370.6370.401 表2-6 支座反力4.13e+039.e+039.e+034.11e+03 第41页桥梁博士计算报告桥梁博士 5671011 53.139.936.439.936.4.157.1 0.1780.20.2410.00.00.2140.191 0.1780.00.00.20.2410.2140.191 0.3550.20.2410.20.2410.4280.382 总结：通过上述计算，本桥上部结构承载能力极限状态截面强度满足要求，正常使用极限状态截面抗裂验算满足规范6.3.1条对全预应力混凝土构件的要求，持久状况和短暂状况下构件的压应力满足规范7.1.5条和规范7.2.要求，钢束最大拉应力满足规范7.1.5条要求。 第42页
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