T梁张拉计算

张拉计算
、计算公式及参数依据
1、计算依据：根据《公路桥涵施工技术规范》(JTJ041-2000)及 《上社大桥、罗溪中桥、西江溪大桥图纸》。

2、计算公式:
①预应力筋的理论伸长值计算公式:
PL
A L = -P ——
A p E p
式中：AL —理论伸长值
P p ——预应力筋的平均张拉力(N),直线筋取张拉端的拉力， 两端张拉的曲线筋。

预应力筋的长度(mm)
-预应力筋的截面面积(mm 2)； -预应力筋的弹性模量(N / mm 2)。

②预应力筋平均张拉力计算公式:
式中：Pp —预应力筋平均张拉力(N)
P —预应力筋张拉端的张拉力(N)
x —从张拉端至计算截面的孔道长度(m)。

一从张拉端至计算截面的曲线孔道部分切线的夹角之和(rad) k —孔道每米局部偏差对摩擦的影响系数:
u 一预应力筋与孔道壁的摩擦系数。

A
P E
在此计算时，切记不能将平均张拉力按照起终点力平均求解，因 为每段钢绞线力的衰减非正比例。

同时，进行分段计算时，靠近张拉 端第一段的终点力即为第二段的起点力，每段的终点力与起点力的关 系如下式：
P = P* e -(-kx+u0)
P —分段终点力(N) z
P —分段的起点力(N)
8、X 、k 、u —意义同上
其他各段的起终点力可以从张拉端开始进行逐步的计算。

3、计算参数：
设计采用标准强度f pk =1860MPa 的低松弛高强度钢绞线，公称直 径15.2mm ，公称面积A P =139mm 2,弹性模量E P =1.95x105Mpa ，孔道 摩擦系数 ^=0.25, k=0.0015；
单根钢绞线张拉锚下控制应力为： 8 k =0.75 f pk =1860x0.75 = 1395Mpa
单根预应力筋张拉力为：1395x139 = 193905N,取193.9KN
二、张拉理论伸长值计算
本标段40、35、30mT 梁采用两端对称张拉，钢绞线为曲线计算， 先按图纸计算1/2片梁的张拉理论伸长值，分三段计算，A 、
B 、
C 段， 其中A 和C 段为直线段，B 段为曲线段。

半幅张搏的线示意图
一)、40mT梁伸长值计算
1、边跨N1
先按图纸计算各段的长度分别是：A=2.197m； B = 7.33m； C =
(10.165+10.085)/2=10.125m； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(2.197+0.6)+0.25x0=0.0041955
P p=193.9x(1-e-0.0041955)/ 0.0041955=193.4938145KN
△L =P p L/ (A p E p) =193.4938145x(2.197+0.6)
/(0.139x195000)= 0.019966877m
B段计算：
0 =7.33/120=0.06108333 (rad)
P z= 193.9* e-0.0041955=193.0881967 KN
kx+u0 =0.0015x7.33+0.25x0.06108333 = 0.0262658
P p= 193.0881967x(1-e-0.031356111)/ 0.0262658=190.092344KN
△L =P p L/ (A p E p)
=190.092344x7.33/(0.139x195000)= 0.051406636m
C 段计算：P z= 193.0881967* e-0.031356111=187.1276401KN
kx+u0 =0.0015x10.125+0.25x0=0.0153
P p=187.1276401x(1-e-0.0151875)/ 0.0151875=185.7138062KN
△L=P p L/ (A p E p)
=185.7138062x10.125/(0.139x195000)=0.069372894m
理论伸长值：(A+B+C) x2
=(0.019966877+0.051406636+0.069372894) *2=0.281492814m 2、边跨N2
先按图纸计算各段的长度分别是：A= 1.096m； B = 11.782m；C
= (6.841+6.761) /2=6.801m； D=0.6m，D 为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+1.096)+0.25x0=0.002544
P p= 193.9x(1-e-0.002544)/ 0.002544=193.6535682KN
△L=P p L/ (A p E p)
=193.6535682x(1.096+0.6)/(0.139x195000)= 0.012117191m
B 段计算：0 =11.782/90=0.13091111 (rad)
P z= 193.9* e-0.002544=193.4073453KN
kx+u0 =0.0015x11.782+0.25x0.13091111=0.0504001
P p= 193.4073453x(1-e-0.042218833)/ 0.042218833
=189.38148KN
△L=P
p L/(A
p
E
p
)
=189.38148x11.782/(0.139x195000)= 0.082320332m C 段计算：P z= 193.4073453* e-0.042218833=185.41188KN
kx+u 0 =0.0015x6.801+0.25x0=0.0102015m
P p = 185.41188x(1-e -0.0102015)/ 0.0102015=184.469348KN △ L=P p L/ (A p E p )
=184.469348x6.801/(0.139x195000)= 0.046285779m
理论伸长值：(A+B+C) x2
=(0.012117191+ 0.082320332+ 0.046285779)
X2=0.281446604m 3、边跨N3
先按图纸计算各段的长度分别是：A=2.196m ； B = 16.797m ； C =(0.742+0.662) /2=0.702m ； D=0.6m ，D 为工作段长度。

A 段计算：kx+u 0 =0.0015x(0.6+2.196)+0.25x0=0.004194
P p = 193.9x(1-e -0.004194)/ 0.004194=193.4939595KN
△ L=P p L/(A p E p )
=193.4939595x(2.196+0.6)/(0.139x195000)= 0.019959753m
B 段计算：0 =16.797/60=0.27995 (rad)
P z = 193.9* e -0.004194=193.0884863KN
kx+u 0 =0.0015x16.797+0.25x0.27995=0.0851855
P p =193.0884863x(1-e -0.0811855)/ 0.0851855=185.458368KN △ L=P p L/ (A p E p )
=185.458368x16.797/(0.139x195000)= 0.114928766m
C 段计算：P z = 193.0884863* e -0.0811855=178.031956KN
kx+u0 =0.0015x0.702+0.25x0=0.001053
P p=178.031956x(1-e-0.001053)/ 0.001053=177.938255KN
△L=P
p L/(A
p
E
p
)
=177.938255x0.702/(0.139x195000)= 0.004608473m
理论伸长值：(A+B+C) x2
=(0.019959753+0.114928766+0.004608473) X2=0.278993984m 4、边跨N4
先按图纸计算各段的长度分别是：A=5.876m； B = 12.597m； C =(1.283+1.203) /2=1.243m； D=0.6m, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+5.876)+0.25x0=0.009714
P p=193.9x(1-e-0.009714)/ 0.009714=192.96127KN
△L=P p L/ (A p E p)
=192.96127x(5.876+0.6)/(0.139x195000)= 0.046102829m
B 段计算：0 =12.597/75=0.16796 (rad)
P z= 193.9* e-0.009714=192.0255742KN
kx+u0 =0.0015x12.597+0.25x0.16796=0.071383
P p= 192.0255742x(1-e-0.071383)/ 0.071383=185.332103KN
△L=P
p L/(A
p
E
p
)
=185.332103x12.597/(0.139x195000)= 0.086132762m
C 段计算：P z= 192.0255742* e-0.071383=178.7960127KN
kx+u0 =0.0015x1.243+0.25x0=0.0018645
P p=178.7960127x(1-e-0.0018645)/ 0.0018645=178.6294337KN
△L=P
p L/(A
p
E
p
)
=178.6294337x1.243/(0.139x195000)= 0.008191713m
理论伸长值：(A+B+C) x2
=(0.046102829+ 0.086132762+0.008191713) x2=0.280854608m
5、中跨N1
先按图纸计算各段的长度分别是：A=2.197m； B = 7.33m； C = 10.085m； D=0.6为工作段长度。

A 段计算：kx+u0 =0.0015x(2.197+0.6)+0.25x0=0.0041955
P p=193.9x(1-e-0.004i955)/ 0.0041955=193.4938145KN
△L =P p L/ ( A p E p )
=193.4938145x(2.197+0.6)/(0.139x195000)二0.019966877m
B段计算：
0 =7.33/120=0.06108333 (rad)
P
z
= 193.9* e-0.0041955=193.0881967 KN
kx+u0 =0.0015x7.33+0.25x0.06108333 = 0.031356111
P p=193.0881967x(1-e-0.031356111)/ 0.031356111=190.092344KN
△L =P p L/ (A p E p)
=190.092344x7.33/(0.139x195000)= 0.051406636m
C 段计算：P z= 193.0881967* e-0.031356111=187.1276401KN
kx+u0 =0.0015x10.085+0.25x0=0.0151275
P p=187.1276401x(1-e-0.0151275)/ 0.0151275=185.7193636KN
△L=P
p L/(A
p
E
p
)
=185.7193636x10.085/(0.139x195000)= 0.069100896m
理论伸长值：(A+B+C) x2
=(0.019966877+0・051406636+0.069100896)x2=0.280948818m 6、中跨N2
先按图纸计算各段的长度分别是：A= 1.096m； B = 11.782m； C = 6.761m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+1.096)+0.25x0=0.002544
P p=193.9x(1-e-0.002544)/ 0.002544=193.6535682KN
△L=P p L/ (A p E p)
=193.6535682x(1.096+0.6)/(0.139x195000)= 0.012117191m
B 段计算：0 =11.782/90=0.1309111 (rad)
P z= 193.9* e-0.002544=193.4073453KN
kx+u0 =0.0015x11.782+0.25x0.1309111=0.042218833
P p= 193.4073453x(1-e-0.042218833)/ 0.042218833
=189.38148KN
△L=P
p L/(A
p
E
p
)
=189.38148x11.782/(0.139x195000)= 0.082320332m
C 段计算：P z= 193.4073453* e-0.042218833=185.41188KN
kx+u0 =0.0015x6.761+0.25x0=0.010142m
P p= 185.41188x(1-e-0.010142)/ 0.010142=184.47483KN
△L=P p L/ (A p E p)
=184.47483x6.761/(0.139x195000)= 0.046014917m
理论伸长值：(A+B+C) x2
=(0.012117191+ 0.082320332+0.046014917) X2=0.28090488m 7、中跨N3
先按图纸计算各段的长度分别是：A=2.196m； B = 16.797m； C =0.662m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+2.196)+0.25x0=0.004194
P p=193.9x(1-e-o.004i94)/ 0.004194=193.4939595KN
△L=P p L/ (A p E p)
=193.4939595x(2.196+0.6)/(0.139x195000)= 0.019959753m
B 段计算：0 =16.797/75=0.22396 (rad)
P z= 193.9* e-0.004194=193.0884863KN
kx+u0 =0.0015x16.797+0.25x0.22396=0.0811855
P p=193.0884863x(1-e-0.0811855)/ 0.0811855=185.458368KN
△L=P
p L/(A
p
E
p
)
=185.458368x16.797/(0.139x195000)= 0.114928766m
C 段计算：P z= 193.0884863* e-0.0811855=178.031956KN
kx+u0 =0.0015x0.662+0.25x0=0.000993
P p= 178.031956x(1-e-0.000993)/ 0.000993=177.9435924KN
△L=P p L/ (A p E p)
=177.9435924x0.662/(0.139x195000)= 0.004346012m
理论伸长值：(A+B+C) x2
=(0.019959753+0.114928766+0.004346012) X2=0.278469062m 8、中跨N4
先按图纸计算各段的长度分别是：A=5.876m； B = 12.597m； C =1.203m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+5.876)+0.25x0=0.009714
P p= 193.9x(1-e-0.009714)/ 0.009714=192.96127KN
△L=P p L/ (A p E p)
=192.96127x(5.876+0.6)/(0.139x195000)= 0.046102829m
B 段计算：0 =12.597/60=0.20995 (rad)
P z= 193.9* e-0.009714=192.0255742KN
kx+u0 =0.0015x12.597+0.25x0.20995=0.071383
P p= 192.0255742x(1-e-0.071383)/ 0.071383=185.332103KN
△L=P
p L/(A
p
E
p
)
=185.332103x12.597/(0.139x195000)= 0.086132762m
C 段计算：P z= 192.0255742* e-0.071383=178.7960127KN
kx+u0 =0.0015x1.203+0.25x0=0.0018045
P p= 178.7960127x(1-e-0.0018045)/ 0.0018045=178.634791KN
△L=P p L/ (A p E p)
=178.634791x1.203/(0.139x195000)= 0.00792834m
理论伸长值：(A+B+C) x2
=(0.046102829+ 0.086132762+0.00792834) x2=0.280327862m
二)、35mT梁伸长值计算
1、边跨N1
先按图纸计算各段的长度分别是：A=3.856m； B = 10.996m； C =2.404m；0 =9。

； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(3.856+0.6)+0.25x0=0.006684
P p= 193.9x(1-e-0.0072225)/ 0.006684=193.4936241KN
△L =P p L/ (A p E p)
=193.4936241x(3.856+0.6)/(0.139x195000)= 0.031809m
B段计算：
P z= 193.9* e-0.006684=195.200369 KN
kx+u0 =0.0015x10.996+0.25x(9x3.1416/180)=0.041861
P
=195.200369x(1-e-0.041861)/ 0.041861=191.171146KN
p
△L =P p L/ (A p E p)
=191.171146x10.996/(0.139x195000)= 0.0775546m
C 段计算：P =195.200369* e-0.041861=187.197754KN z
kx+u0 =0.0015x2.404+0.25x0=0.003606
P p= 187.197754x(1-e-0.003606)/ 0.003606=186.8606KN
△L=P p L/ (A p E p)
=187.197754x2.404/(0.139x195000)= 0.016603m
理论伸长值：(A+B+C) x2
=(0.031809+0.0775546+0.016603) *2=0.2519346m
2、边跨N2
先按图纸计算各段的长度分别是：A = 3.021m； B = 6.283m；C
=7.922m；0 =9o； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(3.021+0.6)+0.25x0=0.0054315
P p=193.9x(1-e-0.0054315)/ 0.0054315=193.377KN
△ L =P p L/ (A p E p)
=193.377x(3.021+0.6)/(0.139x195000)= 0.02583354m
B 段计算：P =193.377* e-0.0054315=192.3298611KN z
kx+u0 =0.0015x6.283+0.25x(9x3.1416/180)=0.0483254
P p=193.377x(1-e-o.0483254)/ 0.0483254=188.809KN
△L =P p L/ (A p E p)
=188.809x6.283/(0.139x195000)= 0.043634m
C 段计算：P =193.377* e-0.0483254=184.68841KN z
kx+u0 =0.0015x7.922+0.25x0=0.011883
P p= 184.68841x(1-e-0.011883)/ 0.011883=174.137631KN
△L=P p L/ (A p E p)
=174.137631x7.922/(0.139x195000)= 0.05089534m
理论伸长值：(A+B+C) x2
=(0.02583354+0.043634+0.05089534) x2=0.24072576m
3、边跨N3
先按图纸计算各段的长度分别是：A= 1.399m； B = 3.142m； C =12.652m；0 =7o； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(1.399+0.6)+0.25x0=0.0029985
P p= 193.9x(1-e-0.0029985)/ 0.0029985=193.60943KN
△ L =P p L/ (A p E p)
=193.60943x(1.399+0.6)/(0.139x195000)= 0.0142787401m
B 段计算：P =193.60943* e-0.0029985=193.029762KN z
kx+u0 =0.0015x3.142+0.25x(7x3.1416/180)=0.0352563
P p=193.029762x(1-e-0.0352563)/ 0.0352563=189.711536KN
△L =P p L/ (A p E p)
=189.71154x3.142/(0.139x195000)= 0.021*******m
C 段计算：P =193.029762* e-0.0352563186=186.342818KN z
kx+u0 =0.0015x12.652+0.25x0=0.0135675
P p=186.342818x(1-e-0.0135675)/ 0.0135675=185.055158KN
L/ (A p E p)
△L=P
p
=185.055158x12.652/(0.139x195000)= 0.086379555m
理论伸长值：(A+B+C) x2
=(0.014282787401+0.219912801+0.086379555) x2=0.24529914m 4、中跨N1
先按图纸计算各段的长度分别是：A=3.856m； B = 10.996m； C = 2.314m；0 =9o； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(3.856+0.6)+0.25x0=0.006684
P p= 193.9x(1-e-0.0072225)/ 0.006684=193.4936241KN
△ L =P p L/ (A p E p)
=193.4936241x(3.856+0.6)/(0.139x195000)= 0.031809m
B段计算：
P z= 193.9* e-0.006684=195.200369 KN
kx+u0 =0.0015x10.996+0.25x(9x3.1416/180)=0.041861
P p=195.200369x(1-e-0.041861)/ 0.041861=191.171146KN
△L =P p L/ (A p E p)
=191.171146x10.996/(0.139x195000)= 0.0775546m
C 段计算：P =195.200369* e-0.041861=187.197754KN z
kx+u0 =0.0015x2.314+0.25x0=0.0035
P p = 187.197754x(1-e-o-0035)/ 0.0035=186.8606KN
△L=P p L/ (A p E p)
=187.197754x2.314/(0.139x195000)= 0.0160m
理论伸长值：(A+B+C) x2
=(0.031809+0.0775546+0.0160) x2=0.2508m
2、中跨N2
先按图纸计算各段的长度分别是：A = 3.021m； B = 6.283m； C =7.832m；0 =9o； D=0.6, D 为工作段长度。

A 段计算：kx+u0 =0.0015x(3.021+0.6)+0.25x0=0.0054315
P p=193.9x(1-e-0.0054315)/ 0.0054315=193.377KN
△ L =P p L/ (A p E p)
=193.377x(3.021+0.6)/(0.139x195000)= 0.02583354m
B 段计算：P =193.377* e-0.0054315=192.3298611KN z
kx+u0 =0.0015x6.283+0.25x(9x3.1416/180)=0.0483254
P p= 193.377x(1-e-0.0483254)/ 0.0483254=188.809KN
△L =P p L/ (A p E p)
=188.809x6.283/(0.139x195000)= 0.043634m
C 段计算：P =193.377* e-0.0483254=184.68841KN z
kx+u0 =0.0015x7.832+0.25x0=0.0118
P p=184.68841x(1-e-0.0118)/ 0.0118=174.137631KN
△L=P
p L/(A
p
E
p
)
=174.137631x7.832/(0.139x195000)= 0.0504m
理论伸长值：(A+B+C) x2
=(0.02583354+0.043634+0.0504) x2=0.2398m
3、中跨N3
先按图纸计算各段的长度分别是：A= 1.399m； B = 3.142m； C =12.562m；0 =7。

； D=0.6，D 为工作段长度。

A 段计算：kx+u0 =0.0015x(1.399+0.6)+0.25x0=0.0029985
P p= 193.9x(1-e-0.0029985)/ 0.0029985=193.60943KN
△L =P p L/ (A p E p)
=193.60943x(1.399+0.6)/(0.139x195000)= 0.0142787401m
B 段计算：P =193.60943* e-0.0029985=193.029762KN z
kx+u0 =0.0015x3.142+0.25x(7x3.1416/180)=0.0352563
P p=193.029762x(1-e-0.0352563)/ 0.0352563=189.711536KN
△L =P p L/ (A p E p)
=189.71154x3.142/(0.139x195000)= 0.021*******m
C 段计算：P =193.029762* e-0.0352563186=186.342818KN z
kx+u0 =0.0015x12.562+0.25x0=0.018843
P p= 186.342818x(1-e-0.018843)/ 0.018843=184.598KN
△L=P p L/ (A p E p)
=184.598x12.562/(0.139x195000)= 0.08555322m
理论伸长值：(A+B+C) x2
=(0.014282787401+0.021*******+0.08555322) x2=0.24365457m
二)、30mT梁伸长值计算
1、边跨N1
先按图纸计算各段的长度分别是：A = 4.509m； B = 2.443m； C =7.756； D=0.6，D为工作段长度。

A 段计算：kx+u0 =0.0015x(4.509+0.6)+0.25x0=0.0076635
P p=193.9x(1-e-0.0.0076635)/ 0.0076635=193.158918KN
△L =P p L/ (A p E p) =193.158918x(4.509+0.6)
/(0.139x195000)= 0.036408371m
B段计算：
0 =2.403/90=0.027144444 (rad)
= 193.9* e-0.0076635=192.419727KN
P
z
kx+u0 =0.0015x2.443+0.25x0.027144444=0.010449111
P p = 192.41927x(1-e-0.01044911)/ 0.010449111=191.417476KN
△L =P p L/ (A p E p)
=191.417476x2.443/(0.139x195000)= 0.0172526432m
C 段计算：P z= 192.419727* e-0」0449111=173.378381KN
kx+u0 =0.0015x7.756+0.25x0=0.011634
P p=173.328381x(1-e-0.011634)/0.011634=172.324029KN
△L=P
p L/(A
p
E
p
)
=172.324029x7.756/(0.139x195000)=0.049309912m
理论伸长值：(A+B+C) x2
=(0.036408371+0.0172526432+0.049309912) x2=0.51648943m 2、边跨N2
先按图纸计算各段的长度分别是：A = 4.371m； B = 3.141m；C
=7.212m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+4.371)+0.25x0=0.0074565
P p=193.9x(1-e-0.0074565)/0,0074565=193.178886KN
△L=P p L/ (A p E p)
=193.178886x(4.371+0.6)/(0.139x195000)=0.035428601m
B 段计算：0 =3.141/120=0.026175 (rad)
P z= 193.9* e-0.0074565=192.459562KN
kx+u0 =0.0015x3.141+0.25x0.026175=0.01125525
P p= 192.459562x(1-e-0.01125525)/ 0.042218833
=191.380524KN
△L=P
p L/(A
p
E
p
)
=191.380524x3.141/(0.139x195000)= 0.022*******m C 段计算：P z= 192.459562* e-0.01125525=190.305526KN
kx+u0 =0.0015x7.212+0.25x0=0.010818m
P p=190.305526x(1-e-0.010818)/0.010818=189.279865KN
△L=P
p L/(A
p
E
p
)
=189.279865x7.212/(0.139x195000)= 0.0503628995m
理论伸长值：(A+B+C) x2
=(0.01125525+0.022*******+0.0503678995)
X2=0.167591674m
3、边跨N3
先按图纸计算各段的长度分别是：A = 7.774m； B = 2.799m；
C =4.171m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+7.774)+0.25x0=0.0121561
P p=193.9x(1-e-0.0i256i)/0,0i2561=192.687294KN
△L=P p L/ (A p E p)
=192.687294x(7.774+0.6)/(0.139x195000)= 0.0595301015m B 段计算：0 =2.799/75=0.03732 (rad)
P z= 193.9* e-0.012561=191.479655KN
kx+u0 =0.0015x2.799+0.25x0.03732=0.0135285
P p=191.479655x(1-e-0.0135285)/0.0135285=190.19026KN
△L=P
p L/(A
p
E
p
)
=190.19026x2.799/(0.139x195000)= 0.0196400125m
C 段计算：P z= 191.4179655* e-0.0135285=188.906666KN
kx+u0 =0.0015x4.171+0.25x0=0.0062565
P p = 188.906666x(1-e-0.0062565)/0.0062565=188.316949KN
△L=P
p L/(A
p
E
p
)
=188.316949x4.171/(0.139x195000)= 0.028978786m
理论伸长值：(A+B+C) x2
=(0.0595301015+0.0196400125+0.028978786) x2=0.2162978m 4、边跨N4
先按图纸计算各段的长度分别是：A = 9.206m； B = 2.799m；C
= 2.752m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+9.206)+0.25x0=0.014709
P p=193.9x(1-e-o.0i4709)/0,0i4709=192.480929KN
△L=P p L/ (A p E p)
=192.480929x(9.206+0.6)/(0.139x195000)=0.896354175m
B 段计算：0 =2.799/60=0.04665 (rad)
P z= 193.9* e-0.014709=191.068798KN
kx+u0 =0.0015x2.799+0.25x0.04665 = 0.015861
P p = 191.068798x(1-e-0.015861)/0.015861=189.561506KN
△L=P
p L/(A
p
E
p
)
=189.561506x2.799/(0.139x195000)= 0.0195750841m C 段计算：P z= 191.068798* e-0.015861=188.062163KN
kx+u0 =0.0015x2.752+0.25x0=0.004128
P p=188.62163x(1-e-0.004128)/0.004128=187.674536KN
△L=P
p L/(A
p
E
p
)
=187.374536x2.752/(0.139x195000)= 0.0190549004m
理论伸长值：(A+B+C) x2
=(0.0696354175+0.195750841+0.0190549004)x2=0.216550804m 5、中跨N1
先按图纸计算各段的长度分别是：A = 4.509m； B = 2.443m； C =7.676； D=0.6, D为工作段长度。

A 段计算：kx+u0 =0.0015x(4.509+0.6)+0.25x0=0.0076635
P p=193.9x(1-e-0.0.0076635)/ 0.0076635=193.158918KN
△L =P p L/ (A p E p) =193.158918x(4.509+0.6)
/(0.139x195000)= 0.036408371m
B段计算：
0 =2.403/90=0.027144444 (rad)
P
z
= 193.9* e-0.0076635=192.419727KN
kx+u0 =0.0015x2.443+0.25x0.027144444=0.010449111
P p = 192.41927x(1-e-0.01044911)/ 0.010449111=191.417476KN
△L =P p L/ (A p E p)
=191.417476x2.443/(0.139x195000)= 0.0172526432m C 段计算：P z= 192.419727* e-0」0449111=173.378381KN
kx+u0 =0.0015x7.676+0.25x0=0.011514
P p=173.328381x(1-e-0.011514)/0.011514=172.334KN
△L=P
p L/(A
p
E
p
)
=172.334x7.676/(0.139x195000)=0.0488041m
理论伸长值：(A+B+C) x2
=(0.036408371+0.0172526432+0.0488041) x2=0.2049302m
6、中跨N2
先按图纸计算各段的长度分别是：A = 4.371m； B = 3.141m； C =7.132m； D=0.6m, D为工作段长度。

A 段计算：kx+u0 =0.0015x(0.6+4.371)+0.25x0=0.0074565
P p=193.9x(1-e-0.0074565)/0.0074565=193.178886KN
△L=P
p L/(A
p
E
p
)
=193.178886x(4.371+0.6)/(0.139x195000)=0.035428601m B 段计算：0 =3.141/120=0.026175 (rad)
P z= 193.9* e-0.0074565=192.459562KN
kx+u0 =0.0015x3.141+0.25x0.026175=0.01125525
P
p
= 192.459562x(1-e-0.01125525)/ 0.042218833
=191.380524KN △ L=P p L/(A p E p )
=191.380524x3.141/(0.139x195000)= 0.022*******m
C 段计算：P z = 192.459562* e -0.01125525=190.305526KN
kx+u 0 =0.0015x7.132+0.25x0=0.010698m P p =190.305526x(1-e -0.010698)/0.010698=189.291KN △ L=P p L/ (A p E p )
=189.291x7.132/(0.139x195000)= 0.04980717m
理论伸长值：(A+B+C) x2
=(0.035428601+0.022*******+0.04980717) x2=0.214826m
7、中跨N3
先按图纸计算各段的长度分别是：A = 7.774m ； B = 2.799m ； C =4.091m ； D=0.6m, D 为工作段长度。

A 段计算：kx+u 0 =0.0015x(0.6+7.774)+0.25x0=0.0121561
P p =193.9x(1-e -0.012561)/0.012561=192.687294KN △ L=P p L/(A p E p )
=192.687294x(7.774+0.6)/(0.139x195000)= 0.0595301015m B 段计算：0 =2.799/75=0.03732 (rad)
P z = 193.9* e -0.0i256i =191.479655KN
kx+u 0 =0.0015x2.799+0.25x0.03732=0.0135285 P p =191.479655x(1-e -0-0i35285)/0.0i35285=190.19026KN △ L=P p L/(A p E p )
=190.19026x2.799/(0.139x195000)= 0.0196400125m C 段计算：P z = 191.4179655* e -0.0135285=188.906666KN
kx+u 0 =0.0015x4.091+0.25x0=0.0061365
P p =188.906666x(1-e -0.0061365)/0.0061365=188.328465KN △ L=P p L/ (A p E p )
=188.328465x4.091/(0.139x195000)= 0.028********m 理论伸长值：(A+B+C) x2
=(0.0595301015+0.0196400125+0.028********) x2=0.21518964m 8、中跨N4
先按图纸计算各段的长度分别是：A = 9.206m ； B = 2.799m ； C
=2.674m ； D=0.6m, D 为工作段长度。

A 段计算：kx+u 0 =0.0015x(0.6+9.206)+0.25x0=0.014709
P p =193.9x(1-e -0.014709)/0.014709=192.480929KN △ L=P p L/(A p E p )
=192.480929x(9.206+0.6)/(0.139x195000)=0.896354175m
B 段计算：0 =2.799/60=0.04665 (rad)
P z= 193.9* e-0.014709=191.068798KN
P
=191.068798x(1-e-o.oi586i)/0.015861=189.561506KN
p
△L=P p L/ (A p E p)
=189.561506x2.799/(0.139x195000)= 0.0195750841m C 段计算：P z= 191.068798* e-0.015861=188.062163KN
kx+u0 =0.0015x2.674+0.25x0=0.004011
P p=188.62163x(1-e-0.004011)/0.004011=188.243425KN △L=P p L/ (A p E p)
=188.243425x2.674/(0.139x195000)= 0.018570851m 理论伸长值：(A+B+C) x2
=(0.0696354175+0.0195750841+0.018570851)
x2=0.2155627052m
40mT梁伸长量计算结果汇总
35mT梁伸长量计算结果汇总
30mT梁伸长量计算结果汇总
三、张拉压力控制
张拉时每侧张拉控制力为：
8 根:193.9x8=1551.2KN
9 根：193.9x9=1745.1KN
10 根:193.9x10=1939KN
11 根:193.9x11=2132.9KN
计算: 审核: 审批:。