Mechanics of Materials
Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 2.2, Problem 2.1PP

A loading causes the member to deform into the dashed shape. Explain how to determine the normal strains εCD and εAB. The displacement Δ and the lettered dimensions are known.

Chapter 2.2, Problem 2.1PP, A loading causes the member to deform into the dashed shape. Explain how to determine the normal

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A rotating shaft of 20 mm diameter is simply supported. The shaft is loaded with a transverse load of 10 kN as shown in the figure. The shaft is made from AISI 1095 hot-rolled steel. The surface has been machined. The shaft operate at temperature T = 450 °C. Consider a reliability factor of 95%. Determine (a) Calculate the reaction forces R, and R₂ (2 points) (b) Draw the shear force and bending moment diagrams and determine the maximum bending moment and shear force. (6 points) 200 mm 20 mm 10,000 N -50 mm- A Not to scale. (c) Determine the critical location of the shaft and the maximum effective stresses. (3 points) (d) Calculate the safety factor against yielding. Does the shaft undergo local yielding? (2 points) (e) Determined the endurance limit, adjusted as necessary with Marin factors. (12 points) (f) Calculate the fatigue factor of safety based on achieving infinite life. (2 points) (g) If the fatigue factor of safety is less than 1 (hint: it should be for this problem), then…
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