Problem $2(15$ Points$)$

a$)(3$ points$)$ What type of moment function do you expect for a beam loaded with a triangular distributed load?

a$.$ Zero moment

b$.$ Constant moment

c$.$ Linear moment function

d$.$ Quadratic moment function

e$.$ Cubic moment function

b$)(3$ points$)$ Consider the relationship between load, shear and moment presented in class $($and used in the "Area Method" for constructing shear and moment diagrams$).$ Fill in the blanks:

i$.$ The area under the shear diagram between A and B is equivalent to the

ii$.$ The slope of the shear diagram at point A is equivalent to the

c$)(3$ points$)$ How many different shear functions need to be developed for the frame shown below? Note: You do not need to write the equations.