Explanation Write the torque equation on the link. T = F ⋅ z (I) Here, the force on the link is F and the distance between the axis of rotation and the point of application of force is z . Write the ratio for width to thickness ratio for the link BC. r t = b c (II) Here, the width of the link BC is b , and the thickness of the link BC is c . Refer to the Equation ( 3 − 40 ) to calculate the maximum shearing stress in a rectangular section. τ max = T α b c 2 (III) Here, the factor that is a function of ( b c ) is α . Write the expression for localized yielding. n y = ( S y 2 ) τ max (IV) Here, the maximum yielding stress is S y . Write the expression for endurance limit of the rotating-beam specimen. S ′ e = 0.5 S u t (V) Here, the minimum tensile strength is S u t . Write the expression for surface factor. k a = a S u t b (VI) Here, the constant are a and b . Write the expression for size factor. k b = 0.879 d e − 0.107 (VII) Here, the equivalent diameter is d e . Write the endurance limit at the critical location. S e = k a ⋅ k b ⋅ k c ⋅ S ′ e (VIII) Here, the load modification factor is k c . Write the expression for endurance limit for torsion. S s u = 0.67 S u t (IX) Write the modified Goodman expression. 1 n f = 1 ( τ a S e ) + ( τ m S u t ) (X) Here, the factor of safety is n f . Conclusion: Substitute 200 lbf for F y , and 2 in for z in the Equation (I). T = ( 200 lbf ) × ( 2 in ) = 400 lbf ⋅ in Substitute 1 1 2 in for b , and 1 4 in for c in the Equation (II). r t = 1 1 2 in 1 4 in = 6 Refer to the Table on page number 116 to obtain α = 0.299 from r t = 6 . Substitute ( 400 lbf ⋅ in ) for T , 0.299 for α , 1 1 2 in for b , and 1 4 in for c in the Equation (III). τ max = ( 400 lbf ⋅ in ) 0.299 × ( 1 1 2 in ) × ( 1 4 in ) 2 = 400 0

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

10th Edition

ISBN: 9780073398204

Author: Richard G Budynas, Keith J Nisbett

Publisher: McGraw-Hill Education

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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 6, Problem 50P

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The minimum factor of safety for fatigue based on infinite life.

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Chapter 6, Problem 49P

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Chapter 6 Solutions

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

Ch. 6 - A 10-mm steel drill rod was heat-treated and...Ch. 6 - Prob. 2P Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Repeat Prob. 6-5 with the specimen having an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Derive Eq. (6-17). Rearrange the equation to solve...Ch. 6 - For the interval 103 N 106 cycles, develop an...Ch. 6 - Estimate the endurance strength of a...

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