Question

a beam, simply supported at the ends, carries a concentrated load of 300 lb/ft and a uniformly distributed load weighing 100 lb/ft as shown. determine the reactions at the beam

Answer 1

Write the equilibrium of forces around the left support:

$$R_L-300-100\cdot6+R_R=0.$$

Write the momentum equilibrium around the left support:

$$0=300\cdot2+100\cdot6\cdot\bigg(2+2+\frac{6}2\bigg)-R_R\cdot10,\\\space\\ R_R=480\text{ lb},\\ R_L=420\text{ lb}.$$