Problem 2 The cantilever beam shown in Figure 2.1 is subjected to linearly distributed loads. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. A a X B q b Figure 2.1: Cantilever beam with linearly distributed loads Take q = 80 kN/m, a = 2m, b = 4 m с

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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I have figured out the support reactions, Ay = 240 kN, Ax = 0 kN, Ma = 639.2 kN*m and the constant term for V(x) is 240. I am not figuring out the function of x part right. Show how to derive V(x) and M(x) for this distributed load. 

Problem 2
The cantilever beam shown in Figure 2.1 is subjected to linearly distributed loads.
a) Draw all necessary free-body diagrams using the method of sections and find symbolic
functions for the internal shear force (V(x)) and bending moment (M(x)) due to the
external forces where x is a horizontal coordinate along the length of the beam, measured
from the most left support of the beam. Your expression(s) must allow to obtain internal
reactions for 0≤x≤L, where L is the length of the beam.
b) For each internal resultant loading, find the maximum and minimum values anywhere in
the beam.
A
a
X
B
q
b
Figure 2.1: Cantilever beam with linearly distributed loads
Take q = 80 kN/m, a = 2m, b = 4 m
с
Transcribed Image Text:Problem 2 The cantilever beam shown in Figure 2.1 is subjected to linearly distributed loads. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. A a X B q b Figure 2.1: Cantilever beam with linearly distributed loads Take q = 80 kN/m, a = 2m, b = 4 m с
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