SMTL201 Question 1 6kNm-1 Ar 1m B 2019 Year-End Supplementary Exam 1m 3kN с 12kNm-1 1m D (c) Determine the slope and def

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SMTL201 Question 1 6kNm-1 Ar 1m B 2019 Year-End Supplementary Exam 1m 3kN с 12kNm-1 1m D (c) Determine the slope and deflection at B, C, D. (E = 203 x 10ºGPa, I = 113 x 10-6m²) [29] A beam ABCD, 3m long is built-in at A. It carries a point load 3kN at a point 2m from A, together with a distributed load whose intensity varies in a linear fashion from 6kNm-¹ at B to 12kNm-¹ at D. (a) Draw the shear force and bending moment diagrams, and calculate the position and magnitude of the maximum bending moment. (17) (b) Derive the shear force and bending moment equations by integration of the differ- ential relationships of a very small element ▲x. (12)