Problem 2 The cantilever beam shown in Figure 2.1 is subjected to linearly distributed loads. a)...
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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 0xL, 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. 120 kN/m -3 m- 6 m Figure 2.1: Cantilever beam with linearly distributed loads 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 0xL, 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. 120 kN/m -3 m- 6 m Figure 2.1: Cantilever beam with linearly distributed loads
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