(a) Explanation Let the A be the wheel of the trailer, and B and C be the wheels of the truck. Figure 1 is the free body diagram of the trailer system at rest. Write the equation to find the sum of moments about the point A. − ( 2400 lb ) ( 2 ft ) + D ( 11 ft ) = 0 (I) Here, D is the tension at truck hinge. Write the equation to find the sum of y component of force about wheel A. ∑ F y = 2 A − 2400 lb+ D = 0 (II) Here, A is the tension at wheel A. Figure 2 is the free body diagram of truck system at rest. Write the equation to find the sum of moments about point B. ∑ M B = D ( 3 ft ) − ( 2900 lb ) ( 5 ft ) + 2 C ( 9 ft ) = 0 (III) Here, D is the tension at truck hinge, C is the tension at wheel C of truck. Write the equation to find the sum of y components of force about wheel B. ∑ F y = 2 B − D − 2900 lb+ 2 C = 0 (IV) Here, B is the tension of wheel B, D is the tension at wheel D, and C is the tension at wheel C. Conclusion: Solve equation (I) to get the value of D . D = 436.36 lb Substitute 436.36 lb for D in equation (II) and solve to get A (b) To determine The additional load on each of the truck wheels due to the trailer.

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 6.3, Problem 6.95P

(a)

To determine

The reaction at each of the six wheels when the truck and the trailer are at rest.

(b)

To determine

The additional load on each of the truck wheels due to the trailer.

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Chapter 6.3, Problem 6.94P

Chapter 6.3, Problem 6.96P

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The reaction at each of the six wheels when the truck and the trailer are at rest.

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The reaction at each of the six wheels when the truck and the trailer are at rest.

The additional load on each of the truck wheels due to the trailer.

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