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Engineering Mechanics (5th Edition) Chapter 6, Problem 33P

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Draw the free body diagram of the truss.

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Engineering Mechanics 5th Edition

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Danielle

University of Denv…

Step 2 of 8 Apply equilibrium equation in the horizontal direction.

Mansi

Gujarat University

Michael

Fuller Theological …

Here,

is the horizontal reaction force at point A.

270

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Apply equilibrium equation in the vertical direction.

…… (1) Here,

and

are the vertical reaction forces at point A and K respectively.

Comment

Step 3 of 8

Apply moment equilibrium equation about point A.

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Engineering Mechanics 5th Edition Textbook Solutions | Chegg.com

Comment

Step 4 of 8

Consider a section by cutting members DG, DC, BC and BE.

Comment

Step 5 of 8 Apply equilibrium equation in the horizontal direction.

…… (2) Here,

is the force in the member DG and

is the force in the member BE.

Apply moment equilibrium equation about point B.

Substitute

for

Substitute

for

.

in equation (2).

Comment

Step 6 of 8

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Engineering Mechanics 5th Edition Textbook Solutions | Chegg.com

Comment

Step 7 of 8 Calculate the angle

.

Apply equilibrium equation in the horizontal direction.

Here, Substitute

is the force in the member CG and for

,

for

is the force in the member CE.

and F for

.

…… (3)

Comment

Step 8 of 8

Apply equilibrium equation in the vertical direction.

Substitute

Substitute

for

for

and

for

.

.

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Engineering Mechanics 5th Edition Textbook Solutions | Chegg.com

Substitute

for

in equation (3).

Therefore, the axial forces in the members CE and CG are

and

respectively.

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Recommended solutions for you in Chapter 6 Chapter 6, Solution 76P

Chapter 6, Solution 4P

Draw the free body diagram of the frame.

Draw the free body diagram of the given truss.

View this solution

View this solution

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