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 P at 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 4x L, the distance between B and C as 2x L, and the distance between C and D as 2x L. (The length of the beam is thus 8x L.) All answers can be expressed in term of fractions timed by functions of P,w,L and EI. a) Calculate the reaction forces at points A and C, RA and RC. The answers are to entered as fractions in the appropriate boxes below. R(A)= ?×P+?×wL (2 marks) R(C)= ?×P+ ?×wL (2 marks) b) Calculate the bending moment at point C Mc. The answers are to entered as fractions in the appropriate boxes below. Respect the sign conventions! Mc= ?×PL+ ?×wL2 (2 marks) c) Calculate the slope at point A ?A. The answers are to entered as fractions in the appropriate boxes below. Respect the sign conventions! ?A= ?×PL2/EI+ ?×wL3/EI (2 marks) d) Calculate the deflections at point D ?D. The answers are to entered as fractions in the appropriate boxes below. Respect the sign conventions! ?D= ×PL3/EI+ ×wL4/EI (2 marks)
