Engineering Mechanics: Statics & Dynamics (14th Edition)
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.3, Problem 1P

The members of a truss are pin connected at joint O. Determine the magnitudes of F1 and F2 for equilibrium. Set θ = 60°.

Expert Solution & Answer
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To determine

Magnitudes of the force F1 and F2 for equilibrium.

Answer to Problem 1P

Magnitude of equilibrium forces (F1) and (F2) are 1.83kN_ and 9.60kN_.

Explanation of Solution

Given information:

  • The given members of a truss are pin connected at joint O.
  • The theta value has to fix at 60° with the member of F1.

Show the free body diagram of the given truss as in Figure 1.

Engineering Mechanics: Statics & Dynamics (14th Edition), Chapter 3.3, Problem 1P

Determine the magnitude of equilibrium forces by applying the Equation of equilibrium.

Along horizontal direction:

Fx=0F2sin70°+F1cos60°5cos30°7cosθ=00.9397F2+0.5F14.337×45=00.9397F2+0.5F1=9.930 (I)

Along vertical direction:

Fy=0F2cos70°F1sin60°+5sin30°7sinθ=00.3420F20.8660F1+2.54.2=00.3420F20.8660F1=1.7 (II)

Find the magnitude of equilibrium forces by solving the Equations (I) and (II).

F1=1.83kN

F2=9.60kN

Conclusion:

Thus, the equilibrium force F1 is 1.83kN_.

Thus, the equilibrium force F2 is 9.60kN_.

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Chapter 3 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

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