Problem $1.$

Consider the two$-$span simply supported reinforced concrete beam with uniformly distributed load

$q$ shown below.

a$)$ Determine the moment diagram for the beam including the magnitude and location of max$-$

imum positive and negative moments as well as the location of zero moment. You may use

any method you like to do this.

b$)$ Identify the location of top and bottom reinforcing steel assuming that reinforcing steel is

required wherever the tension stresses are non$-$zero.