Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0 ≤ x ≤ a F(x) + C₁x + C3 G(x) + C₂x + C4 for a ≤ x ≤a+b VEI = VEI = Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. Answer:

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.8.1P: A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q =...
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Perform double integration of the bending moment equations. You will obtain deflections in this form:

???=?(?)+?1?+?3???0≤?≤????=?(?)+?2?+?4????≤?≤?+?

Calculate:

e) the value of the integration constant C2Enter your answer in kNm2 to three decimal places.

Part B
Perform double integration of the bending moment equations. You will obtain deflections in this form:
vEI = F(x) + C₁x + С3
for 0 ≤ x ≤ a
UEI = G(x) + C₂x + C4
for a ≤ x ≤ a+b
Calculate:
e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places.
Answer:
Check
Transcribed Image Text:Part B Perform double integration of the bending moment equations. You will obtain deflections in this form: vEI = F(x) + C₁x + С3 for 0 ≤ x ≤ a UEI = G(x) + C₂x + C4 for a ≤ x ≤ a+b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. Answer: Check
A steel beam, of lengths a = 5 m and b=2 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width
and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed
load of the intensity that linearly varies from q = 0 kN/m to q = 5.1 kN/m for AB span; and is constant with q= 5.1 kN/m for BC span. The Young's modulus of
steel is 200 GPa.
▲y, v
A
www.imm
Дв с
b
a
5 mm
200 mm
Figure Q.1
300 mm
X
Transcribed Image Text:A steel beam, of lengths a = 5 m and b=2 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q = 5.1 kN/m for AB span; and is constant with q= 5.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. ▲y, v A www.imm Дв с b a 5 mm 200 mm Figure Q.1 300 mm X
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