Explanation Given information: The function of x is 0 ≤ x < 3 ft , 3 ≤ x < 5 ft and 5 ft ≤ x < 6 ft . The overall span length is 6.5 ft. Calculation: Sketch the Free Body Diagram of the shaft as shown in Figure 1. Find the support reactions as shown below. Take moment about A is Equal to zero. ∑ M A = 0 − 250 − ( 500 × 6 ) − ( 800 × 3 ) + ( B y × 5 ) = 0 5 B y − 5 , 650 = 0 B y = 1 , 130 lb Summation of forces along y direction is equal to zero. ∑ F y = 0 A y + B y − 500 − 800 = 0 A y + 1 , 130 − 1 , 300 = 0 A y = 170 lb Sketch the Free Body Diagram of the shaft as a function of x for 0 ≤ x < 3 ft as shown in Figure 2. Find the shear and moment value as shown below. Summation of forces along y direction is Equal to zero. ∑ F y = 0 170 − V = 0 V = 170 lb Hence, the value of the shear for 0 ≤ x < 3 ft is 170 lb _ . Take moment about the point at a distance x from A . ∑ M N A = 0 M − 170 x = 0 M = ( 170 x ) lb .ft Hence, the value of the moment as a function of x for 0 ≤ x < 3 ft is ( 170 x ) lb ⋅ ft _ . Sketch the Free Body Diagram of the shaft as a function of x for 3 ft ≤ x < 5 ft as shown in Figure 3. Find the shear and moment value as shown below. Summation of forces along y direction is Equal to zero. ∑ F y = 0 170 − 800 − V = 0 − 630 − V = 0 V = − 630 lb Hence, the value of the shear for 3 ≤ x < 5 ft is − 630 lb . _ Take moment about the point at a distance x from A

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 1P

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Find the shear and moment throughout the shaft as a function of x for 0≤x<3ft, 3≤x<5ft, and 5ft≤x<6ft.

Plot the shear and moment diagram for the shaft.

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Chapter 11.2, Problem 8FP

Chapter 11.2, Problem 2P

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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 shear and moment throughout the shaft as a function of x for 0 ≤ x < 3 ft , 3 ≤ x < 5 ft , and 5 ft ≤ x < 6 ft . Plot the shear and moment diagram for the shaft.

Solution Summary: The author calculates the shear and moment throughout the shaft as a function of x.

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Find the shear and moment throughout the shaft as a function of x for 0≤x<3ft, 3≤x<5ft, and 5ft≤x<6ft.

Plot the shear and moment diagram for the shaft.

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Chapter 11 Solutions

Find the shear and moment throughout the shaft as a function of x for 0 ≤ x &lt; 3 ft , 3 ≤ x &lt; 5 ft , and 5 ft ≤ x &lt; 6 ft . Plot the shear and moment diagram for the shaft.

Solution Summary: The author calculates the shear and moment throughout the shaft as a function of x.

Concept explainers

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Find the shear and moment throughout the shaft as a function of x for 0≤x<3ft, 3≤x<5ft, and 5ft≤x<6ft. Plot the shear and moment diagram for the shaft.

Want to see the full answer?

Chapter 11 Solutions

Find the shear and moment throughout the shaft as a function of x for 0 ≤ x < 3 ft , 3 ≤ x < 5 ft , and 5 ft ≤ x < 6 ft . Plot the shear and moment diagram for the shaft.

Find the shear and moment throughout the shaft as a function of x for 0≤x<3ft, 3≤x<5ft, and 5ft≤x<6ft.

Plot the shear and moment diagram for the shaft.