Explanation Given information: The smooth pin is supported by two leaves A and B and subjected to a compressive load of 0.4 kN/m caused by bar C . Assumption: Consider the force indicating right side as positive and left side as negative in horizontal components of forces. Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces. Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable. Apply the Equation of equilibrium wherever applicable. Calculation: Show the free-body diagram of the pin assembly as in Figure 1. Determine the intensity of the distributed load w 0 by resolving the vertical component of forces. ∑ F y = 0 − 0.4 × 60 1 , 000 + 1 2 × w 0 × 20 1 , 000 + 1 2 × w 0 × 20 1 , 000 = 0 − 0.4 × 60 + 1 2 × w 0 × 20 + 1 2 × w 0 × 20 = 0 − 24 + 20 w 0 = 0 w 0 = 1.2 kN/m Thus, the intensity of the distributed load w 0 of the leaves on the pin is w 0 = 1.2 kN/m _ . Show the calculation of shear force values as follows: Shear force at x = 0 : V | x = 0 = 0 Shear force at x = 20 mm : V | x = 20 mm = 1 2 × 1.2 kN/m × 1,000 N 1 kN × 20 mm × 1 m 1 , 000 mm = 12 N Shear force at x = 50 mm : V | x = 50 mm = ( 1 2 × 1.2 kN/m × 1,000 N 1 kN × 20 mm × 1 m 1 , 000 mm − 0.4 kN/m × 1,000 N 1 kN × 30 mm × 1 m 1 , 000 mm ) = 12 − 12 = 0 Shear force at x = 80 mm : V | x = 80 mm = ( 1 2 × 1.2 kN/m × 1,000 N 1 kN × 20 mm × 1 m 1 , 000 mm − 0.4 kN/m × 1,000 N 1 kN × 60 mm × 1 m 1 , 000 mm ) = 12 − 24 = − 12 N Shear force at x = 100 mm : V | x = 100 mm = ( 1 2 × 1.2 kN/m × 1,000 N 1 kN × 20 mm × 1 m 1 , 000 mm − 0.4 kN/m × 1,000 N 1 kN × 60 mm × 1 m 1 , 000 mm − 1 2 × 1.2 kN/m × 1,000 N 1 kN × 20 mm × 1 m 1 , 000 mm ) = 12 − 24 + 12 = 0 Show the calculated shear force values as in Table 1

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780134301006

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 11.2, Problem 32P

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Find the intensity of the distributed load w0 of the leaves on the pin.

Plot the shear and moment diagrams for the pin.

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Chapter 11.2, Problem 31P

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Chapter 11 Solutions

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FP Ch. 11.2 - Prob. 6FP Ch. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FP Ch. 11.2 - Prob. 1P

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Find the intensity of the distributed load w 0 of the leaves on the pin. Plot the shear and moment diagrams for the pin.

Solution Summary: The author calculates the intensity of the distributed load w_0 by resolving the vertical component of forces.

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Find the intensity of the distributed load w0 of the leaves on the pin.

Plot the shear and moment diagrams for the pin.

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Chapter 11 Solutions

Find the intensity of the distributed load w 0 of the leaves on the pin. Plot the shear and moment diagrams for the pin.

Solution Summary: The author calculates the intensity of the distributed load w_0 by resolving the vertical component of forces.

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Find the intensity of the distributed load w0 of the leaves on the pin. Plot the shear and moment diagrams for the pin.

Want to see the full answer?

Chapter 11 Solutions

Find the intensity of the distributed load w0 of the leaves on the pin.

Plot the shear and moment diagrams for the pin.