CAE $213-$ Structural Systems I

Fall $2024$

Problem $2$

An overhang beam carries a concentrated load $P=8$kip at the free end as shown in the figure below.

a$.$ draw the free body diagram and determine the support reactions so that the beams are in a state of equilibrium

b$.$ determine the internal reactions $N,V$ and M $,$ so that the portions of the beam shown below are in a state of equilibrium.

CAE $213-$ Structural Systems I

c$.$ transter the shear force $(V)$ and bending moment $(M)$ values including the values at the supports and the free end $($i$.$e$.L=0,L=6ft$ and $L=10ft)$ and plot the shear force and bending moment diagrams along with their maximum values.

d$.$ Assume the aistance of $x$ from the left of the beam, determine $V(x)$ and $M(x).$ Validate your calculation with part $c.$

$5$