Question

For the beam and loading shown, determine the magnitude of the force F for which the vertical reactions at A and B are equal. With this value of F, compute the magnitude of the pin reaction at A. 5.2 kN/m F 3.1 kN/m 2.0 kN/m A B 2.2 m 2.5 kN/m 3.5 m 3.5 m 2.2 3.5 m - m 1.1 m Answers: F = kN A = kN

Answer 1

# Bol- 5.2 kN/m T 3.1 kN/m 2 kN/m Ho tt 22m VA to o 3.5m im 3.5m 2.2 3.5 2.5 kN/m GINEN IMA = ve

→ EQUATION OF UNL from 2-5.2 Knio y=mate AT a zom; y = 20 kN/m I ca a kN/m AT a= 4.6m; y 25.2 kN/m Im=0.697 y=0-697 ata At az? y = 301 kN/m (2 2 1.578 M

- Apply EQUILIBRIUM CONDITIONS * Emo io to -(2) (6-1) (6 + 2-2) - (3-1- 2.0) (1578) (157€ 6-532+2-2) - 3-1-2-0) (6-52) (68227 22)- 4 (5.2-31X3-02)(1245-7) - (522 3-1) (3-5) ( 2435 + 222) - (2-3) -2) (2933) + (3.5XF) + VA X 6-8 20 → 6-8 VA + 3.5F = 201.994 — 70 .

Efy 20 + VA + 48-P – (2168.1) -436-1--D)(1-578) – (84-2.0) (6-522) – (5-2-3-1) (3-osa) - ļ (523.1) (3-5) =0 ANN BY SOLVING EQ 0 1 0 VA = 22.516 KN f = 13-946 KN