The member shown in the figure is pin connected at A and rests against a smooth support at B. Determine the horizontal and vertical components of reaction at the pin A.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.4.17P: Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building....
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EXAMPLE NO. 2
The member shown in the figure is pin connected at A and rests against a
smooth support at B. Determine the horizontal and vertical components of
reaction at the pin A.
± ΣF, = 0;
B
+1ΣΕ, = 0;
30%
0.75 m
SOLUTION
Ax
0.75 m
NR
-1.5 m
A₁ -
Ay-
m
60 N
Ay
C+EMA = 0; -90 N·m - 60 N(1 m) + Ng(0.75 m) = 0
NB = 200 N
80 N/m
200 sin 30° N = 0
Ax= 100 N
90 Nm
90 N·m
- 200 cos 30°N 60 N = 0
Ay = 233 N
Ans.
Ans.
Transcribed Image Text:EXAMPLE NO. 2 The member shown in the figure is pin connected at A and rests against a smooth support at B. Determine the horizontal and vertical components of reaction at the pin A. ± ΣF, = 0; B +1ΣΕ, = 0; 30% 0.75 m SOLUTION Ax 0.75 m NR -1.5 m A₁ - Ay- m 60 N Ay C+EMA = 0; -90 N·m - 60 N(1 m) + Ng(0.75 m) = 0 NB = 200 N 80 N/m 200 sin 30° N = 0 Ax= 100 N 90 Nm 90 N·m - 200 cos 30°N 60 N = 0 Ay = 233 N Ans. Ans.
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