The figure (not drawn to scale) shows a overhanging metallic bar (supported at A and C), of flexural modulus EI. It is subjected to a point load of amplitude Pat B, and UDL load w between points

C and D.

All distances are multiple of a unit distance L.

You are given

the distance between A and B as 4 x L,

the distance between B and C as 3 x L,

and the distance between C and D as 5 x L

(The length of the beam is thus 12 x L.)

All answers can be expressed i term f fractions timed by functions of P, w, L and EI.

a) Calculate the reaction forces at points A and C, RA and Rc.

b) Calculate the binding moment at point C M

c) Calculate the slope at point A ₁

d) Calculate the deflections at point D &