Consider a uniform beam of 2m long simply supported at both ends, the bending momentis given by the following relation ?′′(?) = ?(?)/?, where y(x) is the deflection, M is thebending moment and E is the flexeural rigidity. Calculate the bending moment at each gridpoint including the two end points assuming that the deflection distribution is among thefollowingx (in m) 0 0.2 0.4 0.6 0.8 1y(x) (incm)0.0 7.78 10.68 8.37 3.97 0Assume ? = 1.2 × 107??2Estimate the values of bending moment M(0.27) Consider a uniform beam of 2m long simply supported at both ends, the bending momentis given by the following relation y"(x) = M(x)/E, where y(x) is the deflection, M is thebending moment and E is the flexeural rigidity. Calculate the bending moment at each grid-point including the two end points assuming that the deflection distribution is among thefollowingx (in m)y(x)cm)Assume E = 1.2 x 107NM?Estimate the values of bending moment M(0.27)0.27.780.40.60.81(in 0.010.688.373.97

Given: EI=1.2x107Nm2 To Find: Bending Moment M = at X=0.27

Answered: Consider a uniform beam of 2m long…

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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Consider a uniform beam of 2m long simply supported at both ends, the bending moment
is given by the following relation ?
′′(?) = ?(?)/?, where y(x) is the deflection, M is the
bending moment and E is the flexeural rigidity. Calculate the bending moment at each gridpoint including the two end points assuming that the deflection distribution is among the
following
x (in m) 0 0.2 0.4 0.6 0.8 1
y(x) (in
cm)
0.0 7.78 10.68 8.37 3.97 0
Assume ? = 1.2 × 107??2
Estimate the values of bending moment M(0.27)

Consider a uniform beam of 2m long simply supported at both ends, the bending moment
is given by the following relation y"(x) = M(x)/E, where y(x) is the deflection, M is the
bending moment and E is the flexeural rigidity. Calculate the bending moment at each grid-
point including the two end points assuming that the deflection distribution is among the
following
x (in m)
y(x)
cm)
Assume E = 1.2 x 107NM?
Estimate the values of bending moment M(0.27)
0.2
7.78
0.4
0.6
0.8
1
(in 0.0
10.68
8.37
3.97

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