Problem $1$: Truss Analysis Review

For the truss below, the applied force magnitudes are given as $100$ kips at $B,250$kips at C $,$ and $50$ kips at D$.$ Assume that all members have a cross$-$sectional area of $15i{n}^2,$ a modulus of elasticity of $29,000$ksi, and are pin connected.

a$)$ Determine the reactions at the supports.

b$)$ Determine the axial forces in all members. Identify forces as tensile or compressive.

c$)$ Determine the maximum $($magnitude$)$ axial stress. Identify the member$($s$)$ where this occurs.

d$)$ Determine the maximum $($magnitude$)$ axial strain. Identify the member$($s$)$ where this occurs.

e$)$ Determine the maximum $($magnitude$)$ axial deformation. Identify the member$($s$)$ where this occurs.