Question

Problem (1) Assuming the upward reaction of the ground on the beam to be uniformly distributed. (a) Draw shear moment diagram. (25 points) (b) Draw bending-moment diagram. (25 points) 10 kN 1 kN/m 45 45 Ground 5m 5m 10m 20 m 10 m 10 m

Answer 1

Hello,

You can solve this problem as the simple cantilever beam. Divide the problem into two parts, by separating both loading condition. Because there is fixed support at center. Now refer the problem solution image attached. Note see the sign convention for the positive displayed in the box.

Hello, You can solve this problem as the simple cantilever beam. Divide the problem into two parts, by separating both loading condition. Because there is fixed support at center. Now refer the problem solution image attached. Note see the sign convention for the positive displayed in the box. Divide problem in two parts convert to point 1 times 10 = 10 KN 1 KN/m rightdoublearrow Finding revetion: No Horizontal reaction RE = 10 KN (vertical) rightdoublearrow shear force Diagram SF@H = 0 (No load) SF@G = -10 KN SF@E = -10 KN rightdoublearrow Bending moment BM@H = 0 BM@G = 0 BM@E = 10 times (5 + 10) = -150 KN R_A = 1 times 10 = 10 kN(vertical) SF@D = 0 SF@B = -10 i.e.(- 1 times 10) SF@A = -10 KN BM@D = 0 BM@B = wl^2/2 = 1.0 times 10^2/2 = + 50 KN BM@A = 1 times 10 times (5