SYSTEM $2$: $(40$ points$)$

Assume that the loadings and the support conditions for the same ABC beam system in the

same frame system $($given in SYSTEM $1)$ are as given in Figure a and b$,$ below.

STEP $1$:

Calculate the degree of indeterminacy of the system.

State whether the system stable or unstable. Explain the reason for your determination.

STEP$2$:

Apply all loadings given in Figure a on the beam system given in Figure b$.$

Then,

a$)$ Calculate the support reactions

b$)$ Calculate the shear force $($V$)$ and the bending moment $($M$)$ functions for each

loading regions.

c$)$ Draw the shear force $($V$)$ and the bending moment $($M$)$ functions for each loading

regions.

IMPORTANT NOTE:

DRAW ALL FREE BODY DIAGRAMS and SHOW ALL THE EQULIBRIUM EQUATIONS, which

are NECESSARY FOR YOUR CALCULATIONS.

a$)$ The loading that will be applied on the beam system ABCSYSTEM $2$: $(40$ points$)$

Assume that the loadings and the support conditions for the same ABC beam system in the

same frame system $($given in SYSTEM $1)$ are as given in Figure a and b$,$ below.

STEP $1$:

Calculate the degree of indeterminacy of the system.

State whether the system stable or unstable. Explain the reason for your determination.

STEP$2$:

Apply all loadings given in Figure a on the beam system given in Figure b$.$

Then,

a$)$ Calculate the support reactions

b$)$ Calculate the shear force $($V$)$ and the bending moment $($M$)$ functions for each

loading regions.

c$)$ Draw the shear force $($V$)$ and the bending moment $($M$)$ functions for each loading

regions.

IMPORTANT NOTE:

DRAW ALL FREE BODY DIAGRAMS and SHOW ALL THE EQULIBRIUM EQUATIONS, which

are NECESSARY FOR YOUR CALCULATIONS.

a$)$ The loading that will be applied on the beam system ABC