Explanation Given information: The steel shaft is subjected to the two loads. The journal bearing at A and B does not exert an axial force on the shaft. The diameter of the steel shaft is d = 65 mm . Calculation: Show the free-body diagram of the resultant force as in Figure 1. Show the free-body diagram of the shaft in y -direction as in Figure 2. Determine the vertical reaction at point B by taking moment about point A . ∑ M A = 0 B y ( 3.5 ) − 4 cos 30 ° ( 2.25 ) − 4 cos 30 ° ( 1.25 ) = 0 3.5 B y − 7.794 − 4.33 = 0 B y = 3.464 kN Determine the vertical reaction at point A by resolving the vertical component of forces. ∑ F y = 0 A y + B y − 4 cos 30 ° − 4 cos 30 ° = 0 A y + 3.464 − 3.464 − 3.464 = 0 A y = 3.464 kN Show the calculation of bending moments as follows; Moment at x = 0 : M | x = 0 = 0 Moment at x = 1.25 m : M | x = 1.25 m = A y ( 1.25 ) = 3.464 ( 1.25 ) = 4.33 kN-m Moment at x = 2.25 m : M | x = 2.25 m = A y ( 2.25 ) − 4 cos 30 ° ( 1 ) = 3.464 ( 2.25 ) − 4.364 = 4.33 kN-m Moment at x = 3.50 m : M | x = 3.50 m = A y ( 3.50 ) − 4 cos 30 ° ( 2.25 ) − 4 cos 30 ° ( 1.25 ) = 3.464 ( 3.50 ) − 7.794 − 4.33 = 0 Show the bending moment diagram of the shaft in y -direction as in Figure 3. Refer to Figure 3. The maximum bending moment in y -direction is M y = 4.33 kN-m . Show the free-body diagram of the shaft in z -direction as in Figure 4. Determine the vertical reaction at point B by taking moment about point A . ∑ M A = 0 − B z ( 3.5 ) − 4 sin 30 ° ( 1.25 ) + 4 sin 30 ° ( 2.25 ) = 0 − 3.5 B z − 2.5 + 4.5 = 0 B z = 0.571 kN Determine the vertical reaction at point A by resolving the vertical component of forces. ∑ F y = 0 A z − B z − 4 sin 30 ° + 4 sin 30 ° = 0 A y − 0

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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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Chapter 11.5, Problem 102P

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Find the absolute maximum bending stress developed in the shaft.

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Chapter 11.5, Problem 101P

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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 absolute maximum bending stress developed in the shaft.

Solution Summary: The author shows the free-body diagram of the shaft in y -direction as in Figure 1. Determine the vertical reaction at point A by resolving vertical component of forces.

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Find the absolute maximum bending stress developed in the shaft.

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