The figure (not drawn to scale) shows a overhanging metallic bar (supported at A and C),...
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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 2 x L, the distance between B and C as 5 x L, and the distance between C and D as 3 x L. (The length of the beam is thus 10 x 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, R, and Rc. The answers are to be entered as fractions in the appropriate boxes below. RA Rc - Mc b) Calculate the bending moment at point C Mc. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! xPL+ xwL² (2 marks) = 0₁ = 0A бр xP+ TIN xP+ 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! PL² ET+ xwL (2 marks) xwL (2 marks) d) Calculate the deflections at point D Sp. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! PL³ EI wL³ EI (2 marks) WLA EI (2 marks) A n₁ L P B n₂L C (niengtru ·K8- W na L D X 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 2 x L, the distance between B and C as 5 x L, and the distance between C and D as 3 x L. (The length of the beam is thus 10 x 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, R, and Rc. The answers are to be entered as fractions in the appropriate boxes below. RA Rc - Mc b) Calculate the bending moment at point C Mc. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! xPL+ xwL² (2 marks) = 0₁ = 0A бр xP+ TIN xP+ 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! PL² ET+ xwL (2 marks) xwL (2 marks) d) Calculate the deflections at point D Sp. The answers are to be entered as fractions in the appropriate boxes below. Respect the sign conventions! PL³ EI wL³ EI (2 marks) WLA EI (2 marks) A n₁ L P B n₂L C (niengtru ·K8- W na L D X
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