- ahmad alhayek

Determine the horizontal and vertical components of reaction at the pins A, B, and D of the three-member frame. The joint at C is fixed connected.

Step 1 of 10
Draw free body diagram of member AB.
$C:\Users\kavya\Desktop\a.jpg$
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Step 2 of 10
Calculate length of the inclined member AB.
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Step 3 of 10
Calculate the angle made by the member AB.
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Step 4 of 10
Calculate the support reactions.
Apply equilibrium conditions.
Consider moment at A.
…… (1)
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Step 5 of 10
Draw free body diagram of the Frame BCD.
$C:\Users\kavya\Desktop\b.jpg$
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Step 6 of 10
Consider moment about D.
…… (2)
Solv equations (1) and (2), then the obtained values are,
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Step 7 of 10
Therefore, the horizontal and vertical reactions at B are .
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Step 8 of 10
From the member AB, consider forces along vertical direction.
Therefore, the vertical reaction at A is .
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Step 9 of 10
From the member AB, consider forces along horizontal direction.
Therefore, the horizontal reaction at A is .
From the member BCD, consider forces along vertical direction.
Therefore, the vertical reaction at D is .
Comments (2)
Step 10 of 10
Consider forces along horizontal direction.
Therefore, the horizontal reaction at D is .
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