Consider a beam supported by a pin and at A and roller at B subjected to uniform distributed load w = 300 N/m. If the expre elastic curve for coordinates x, and x₂ are written as follow: V₁ (x)=1/El [ax³ + C1 x + C2] V₂ (x)=1/E1 [bx4+ C3x + C4] Determine the reactions at the supports, the expressions of internal bending moments and the constants C1, C2, C3 and C4.

Consider a beam supported by a pin and at A and roller at B subjected to uniform distributed load w = 300 N/m. If the expre elastic curve for coordinates x, and x₂ are written as follow: V₁ (x)=1/El [ax³ + C1 x + C2] V₂ (x)=1/E1 [bx4+ C3x + C4] Determine the reactions at the supports, the expressions of internal bending moments and the constants C1, C2, C3 and C4.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

an
Ti
Consider a beam supported by a pin and at A and roller at B subjected to uniform distributed load w = 300 N/m. If the expre
elastic curve for coordinates x₁ and x₂ are written as follow:
V₁ (x) = 1/El [ax² + C1 x + C2)
V₂ (x)=1/E1 [bx4 + C3x + C4]
Determine the reactions at the supports, the expressions of internal bending moments and the constants C1, C2, C3 and C4.
A
foy
By
M1
142
XI
1m
B
W
1m
X2-

M1 =
M2 =
C1 =
C2=
C3=
C4=
150 downward 100 downward
500 downward
-150 x
-50 x
-150 x 2 -50 x
25 50 -50
250 upward
100 50 -80
-50 x^2
16.67 0 8.33
-100 x^2
-16,67 -68.7 -87.5
100 upward
450 upward
P
LG

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