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1、,BRIDGE ENGRG PART II,Part 2 RC & PC beam bridge 第二篇 钢筋混凝土和预应力混凝土梁式桥,Chapter 3 第三章 Analysis of simple supported beam bridge 简支梁桥的计算,3）荷载横向分布系数计算方法 杠杆原理法 Method based on mechanics of leverage 偏心压力法Method based on stiffness transverse connection 横向铰接梁（板）法 横向刚接梁法 比拟正交异性板法,3.3 Computation of Coefficient
2、s of Transverse Distribution of Loads 荷载横向分布计算,3.3 Computation of Coefficients of Transverse Distribution of Loads 荷载横向分布计算,3. Method based on stiffness transverse connection偏心压力法,1）Assumption 基本假设 The stiffness of the transverse connection is very strong, the deformation of the connection is neglig
3、ible. 横梁刚性极大,刚性横梁的微小变形可以忽略不计,3.3 Computation of Coefficients of Transverse Distribution of Loads 荷载横向分布计算,3. Method based on stiffness transverse connection偏心压力法,2）Suitability of the assumption 基本假设的适用范围 试验证明，当B/L0.5(称为窄桥)及具有多道横隔梁时， 刚性横隔梁假设是成立的。,3.3 Computation of Coefficients of Transverse Distribu
4、tion of Loads 荷载横向分布计算,3）Theory 原理,P,P,L,e,3. Method based on stiffness transverse connection偏心压力法,3. Method based on stiffness transverse connection偏心压力法,3） Theory 原理 Pointed load at the center P=1 中心荷载作用 Based on the assumption, the deflections of each girder will be the same under the centric loa
5、d 由刚性横梁假设，中心荷载作用下，各梁的挠度相等。,w1,w2,R1,R2,R3,R4,R5,w1= w2= w3= w4= w5,3. Method based on stiffness transverse connection偏心压力法,P=1,w1,w2,R1,R2,R3,R4,R5,The relation between deflection and the centric load 简支梁在集中荷载作用下的挠度：,3） Theory 原理 Pointed load at the center P=1 中心荷载作用,3. Method based on stiffness tra
6、nsverse connection偏心压力法,w1,w2,R1,R2,R3,R4,R5,Static equilibrium equation in vertical 竖向静力平衡：,3） Theory 原理 Pointed load at the center P=1 中心荷载作用,3. Method based on stiffness transverse connection偏心压力法,3） Theory 原理 Moment caused by eccentric load 偏心力矩作用M=Pe=e The deflection of the girders 各梁竖向挠度：,M=Pe
7、=e,R1,R2,R4,R5,wi,ai,3. Method based on stiffness transverse connection偏心压力法,M=Pe=e,R1,R2,R4,R5,wi,ai,3） Theory 原理 Moment caused by eccentric load 偏心力矩作用M=Pe=e Static equilibrium equation about the moment 弯矩静力平衡：,3. 偏心压力法,3） Theory 原理 C. Total action of the eccentric pointed load 偏心荷载对各主梁的综合作用 When
8、the load is applied on the k girder 当荷载作用于第k号梁(e=ak)：,R1k,R2k,R5k,（3）,R3k,R4k,R1,R2,R4,R5,ak,P,3. Method based on stiffness transverse connection偏心压力法,a1,P,-a1,R11,R51,3） Theory 原理 C. Total action of the eccentric pointed load 偏心荷载对各主梁的综合作用 When the load is applied on the first girder 当荷载作用于第1号梁 Not
9、e that e=a1 and I1=I5,3. Method based on stiffness transverse connection偏心压力法,3）Theory 原理 D. Transverse influence line of loads荷载横向影响线 The load distribution on the girders when load is applied on the k girder 当荷载作用于第i号梁上时， 各主梁的荷载分布：,a1,P=1,（6）,Specially, when each girder has the same section 当各主梁截面尺
10、寸相同时，,（6）,11,3. Method based on stiffness transverse connection偏心压力法,4）Example 偏心压力法的计算实例,75,700,75, ,计算步骤 判断采用何种方法计算,3. Method based on stiffness transverse connection偏心压力法,4） Example 偏心压力法的计算实例,75,700,75, ,计算步骤 判断采用何种方法计算 绘制横向影响线,-0.200,0.600,480,30,3. Method based on stiffness transverse connecti
11、on偏心压力法,4） Example 偏心压力法的计算实例,0.575,150,75,700,75, ,计算步骤 判断采用何种方法计算 绘制横向影响线 按最不利位置布载 汽车荷载,180,180,130,50,0.350,-0.038,0.188,-0.200,0.600,460,30,3. Method based on stiffness transverse connection偏心压力法,4） Example 偏心压力法的计算实例,计算步骤 判断采用何种方法计算 绘制横向影响线 按最不利位置布载 计算相应的 荷载横向分布系数,0.575,150,75,700,75, ,180,180,
12、130,50,0.350,-0.038,0.188,-0.200,460,30,3. Method based on stiffness transverse connection偏心压力法,5） Example 偏心压力法的计算实例,75,700,75, ,横向影响线绘制的技巧 1#梁影响线 2#梁影响线 3#梁影响线,-0.200,0.600,480,30,0.400,0.200,0.000,Review on the Method based on stiffness transverse connection偏心压力法回顾,P,P,L,e,Review on the Method ba
13、sed on stiffness transverse connection偏心压力法回顾,When the load is applied on the k girder 当荷载作用于第k号梁(e=ak)：,R1k,R2k,R5k,R3k,R4k,ak,P,Review on the Method based on stiffness transverse connection偏心压力法回顾,R1k,R2k,R5k,R3k,R4k,ak,P,When the load is applied on the k girder 当荷载作用于第k号梁(e=ak)：,3.3 Computation o
14、f Coefficients of Transverse Distribution of Loads 荷载横向分布计算,4. Summarization on the method 偏心压力法小结,1）基本假设及适用范围 2）原理及公式推导 3）横向影响线的求法 4）荷载布置及横向分布系数计算,3.3 Computation of Coefficients of Transverse Distribution of Loads 荷载横向分布计算,Review of the methods for computing coefficients of transverse distribution of loads 荷载横向分布系数计算方法回顾 杠杆原理法 适宜于支点截面处 偏心压力法 适宜于跨中截面处,3.3 Computation of Coefficients of Tra
