Question $1.$

For the beam loading shown in the figure,

a$)$ Compute support reactions

b$)$ Compute and draw Shear Force Diagram $($the Calculator method is fine$)$

c$)$ Compute the location where Shear Force is zero $($changes sign from positive to negative$)2$

d$)$ Compute the Bending Moment at all important points including the point where Shear Force is zero.

e$)$ Draw Bending Moment Diagram

f$)$ Beam is made of ASTM A$500$ grade C steel. Use the table of properties to find Sy for this material. As per AISC standard, design bending stress is $0\mathrm{.}66$ times Sy$.$ Compute required section modulus for maximum bending moment and design bending stress $4$

g$)$ Specify a suitable square or rectangular hollow structure shape $($HSS$)$