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Structural Load Analysis Calculations

1) The document analyzes two cases for calculating maximum shear and moment for a bridge girder under live load plus impact. 2) Case I considers a design lane load plus a design tandem load, resulting in a maximum shear of 389.08 kN. 3) Case II considers a design truck plus design lane load, also resulting in a maximum shear of 389.08 kN. 4) The document also calculates the maximum moment under each case, with Case I governing with a maximum moment of 970.92 kN-m.

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MARICRIS AQUINO
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0% found this document useful (0 votes)
67 views2 pages

Structural Load Analysis Calculations

1) The document analyzes two cases for calculating maximum shear and moment for a bridge girder under live load plus impact. 2) Case I considers a design lane load plus a design tandem load, resulting in a maximum shear of 389.08 kN. 3) Case II considers a design truck plus design lane load, also resulting in a maximum shear of 389.08 kN. 4) The document also calculates the maximum moment under each case, with Case I governing with a maximum moment of 970.92 kN-m.

Uploaded by

MARICRIS AQUINO
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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LIVE LOAD + IMPACT ( SHEAR )

CASE 1: Design Lane + Design Tandem(1.33)

Design Lane

A B Ra1 = wL /2
Ra1 = 9.34(12.25 /2) = 57.2075 kN
12.25 m

143.64 kN 143.64 kN
(108*1.33 kN) (108*1.33 kN)
Ra2(12.25) = 143.64(12.25) + 143.64(12.25-1.2)
1.2
Ra2 = 273.2091 kN
A B

12.25 m
V = Ra1 + Ra2
V = 57.2075 + 273.2091
V = 330.4166 kN

CASE 2: Design Truck + Design Lane

Design Lane

A B Ra1 = wL /2
Ra1 = 9.34(12.25 /2) = 57.2075 kN
12.25 m

192.85 kN 192.85 kN 46.55 kN


Ra2(12.25) = 192.85(12.25) + 192.85(12.25-4.3)
(145*1.33 kN) (145*1.33 kN) (35*1.33 kN)
+ 46.55(12.25-4.3-4.3)
4.3 4.3 Ra2 = 331.8757 kN

A B V = Ra1 + Ra2
V = 57.2075 + 331.8757
12.25 m
V = 389.0832 kN

CASE II governs, use V = 389.0832

For interior girders, Max Shear = V(distribution factor) = 389.0832(0.8164) = 317.6475 kN


Max Shear for LL + IM
For exterior girders, Max Shear = V(distribution factor) = 389.0832(0.624) = 242.7879 kN
LIVE LOAD + IMPACT ( SHEAR )

Design Lane = 9.34 kN/m


Mmax = w(L^2)/8
A B
Mmax = 9.34(12.25^2)/8
12.25 m
Mmax= 175.198 kN-m
Mmax
M

287.28 kN

143.64 kN 143.64 kN
0.3 0.3 0.6 6.125 - 0.9 =5.225 Ra(12.25) = 143.64(5.225) + 143.64(5.225 + 1.2)
Ra = 136.6046 kN

A B
Mtruck = 136.6046(5.825) = 795.722 kN
6.125 m 6.125 m

6.125 - 0.3 = 5.825 M Case I M = Mmax lane + Mtandem (or M lane + Mtandem)
= 175.198 + 795.722
Case I M = 970.92 kN-m
Ra = 136.6046

Design Lane = 9.34 kN/m

A B
Mmax = w(L^2)/8
12.25 m
Mmax = 9.34(12.25^2)/8

Mmax Mmax= 175.198 kN-m


M

R = 432.25 kN

2.8446
2.8446 192.85 kN 192.85 kN 46.55 kN

192.85 kN 4.3 4.3


192.85 kN 46.55 kN
4.3 4.3

A B R(x) = 192.85(4.3) + 46.55(2*4.3)

6.125 m 6.125 m 432.25(x) = 192.85(4.3) + 46.55(2*4.3)


x = 2.8446

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