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A n, L M B M-L C x (n+n)-L The figure (not drawn to scale) shows a overhanging metallic bar (supported at A and
A n, L M B M-L C x (n+n)-L The figure (not drawn to scale) shows a overhanging metallic bar (supported at A and B), of flexural modulus EI. It is subjected to a point moment of amplitude M at B, and point load of amplitude P at C. All distances are multiple of a unit distance L. You are given the distance between A and B as 3 x L, and the distance between B and C as 5 x L. (The length of the beam is thus 8 L.) All answers can be expressed in term of fractions timed by functions of M, P, L and EI. a) Calculate the reaction forces at points A and B, R and RB. The answers are to be entered as fractions in the appropriate boxes below. RA RB XM/L+ XM/L+ XP (2 marks) XP (2 marks) b) Calculate the bending moment at point B MB. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! MB XM+ XPL (2 marks) c) Calculate the slope at point A 01. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! ML PL (2 marks) d) Calculate the deflections at point C &c. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! ML + PL (2 marks)
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