Problem # 3 The assembly shown below supports a vertical load P. All three bars are of similar length L. Bars AB and BD are identical, with cross-sectional area A₁, while Bar BC has a cross-sectional area A₂. All bars have the same modulus E and are pinned at A, B, C, and D. Determine the axial force in each of the bars, assuming P, L, 0, and a are known.

Problem # 3 The assembly shown below supports a vertical load P. All three bars are of similar length L. Bars AB and BD are identical, with cross-sectional area A₁, while Bar BC has a cross-sectional area A₂. All bars have the same modulus E and are pinned at A, B, C, and D. Determine the axial force in each of the bars, assuming P, L, 0, and a are known.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem # 3
The assembly shown below supports a vertical load P. All three bars are of
similar length L. Bars AB and BD are identical, with cross-sectional area
A₁, while Bar BC has a cross-sectional area A₂. All bars have the same
modulus E and are pinned at A, B, C, and D. Determine the axial force in
each of the bars, assuming P, L, 0, and a are known.
B

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Step 2: To Find

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Step 3: Draw free body diagram

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Step 4: Use method of joints

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Step 5: Draw FBD of joint A

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Step 6: Balance forces in x axis

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Step 7: Draw FBD of joint B

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