Answered: Show all Free Body Diagrams A) Use…

Show all Free Body Diagrams A) Use the Method of Joints to find the forces in AB and BC. Indicate whether its tension or compression.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.46P

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Question

Show all Free Body Diagrams

A) Use the Method of Joints to find the forces in AB and BC. Indicate whether its tension or compression.

USE THE METHOP
OF JPIWTS TO
FIND
THE FarCES IN
AB f BC. PapiCATE
or
r @
6'
1o00 i6
D
8'

Expert Solution

Step 1

Given:

Step 2

Take moment about point B

$\sum_{}^{} M_{B} = 0 \begin{array}{rcl} - R_{A X} (12) + 5000 \times 16 - 1000 \times 6 & = & 0 \\ R_{A X} & = & 6166.67 lb \end{array}$

Ballance the force in x and y directions

$\sum_{}^{} F_{x} = 0 \begin{array}{rcl} R_{A X} + R_{B X} + 1000 & = & 0 \\ R_{B X} & = & - 7166.67 lb \end{array}$

$\sum_{}^{} F_{y} = 0 \begin{array}{rcl} R_{B Y} + 5000 & = & 0 \\ R_{B Y} & = & - 5000 lb \end{array}$

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