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 expressions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces as functions of x, 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

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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
expressions for the internal shear force (V(x)) and bending moment (M(x)) due to the
external forces as functions of x, 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) Plot V(x) and M(x) using the numerical values of load and distance given in the figure. For
plotting, use your preferred software (Matlab, Excel, etc). Note that you will lose points if
you submit hand-drawn plots.
X
-3 m-
120 kN/m
6 m
Transcribed Image Text: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 expressions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces as functions of x, 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) Plot V(x) and M(x) using the numerical values of load and distance given in the figure. For plotting, use your preferred software (Matlab, Excel, etc). Note that you will lose points if you submit hand-drawn plots. X -3 m- 120 kN/m 6 m
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