Explanation Given information: The lever is attached to the shaft A using a key that has a width d and length of 25 mm. The vertical force applied perpendicular to the handle is 200 N. The allowable shear stress for the key is τ allow = 35 MPa . Calculation: Sketch the Free Body Diagram of the key as shown in Figure 1. Refer to Figure 1. Find the cross-sectional area of the member. A = 0.025 × d = 0.025 d m 2 Here, d is width of key. Apply the Equations of equilibrium as shown below. Take moment about A is Equal to zero. ∑ M A = 0 F a − a × 20 − ( 200 × 500 ) = 0 20 F a − a − 100 , 000 = 0 F a − a = 5 , 000 N Find the dimension d using shear stress as shown below

9th Edition

ISBN: 9780133254426

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft …

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Chapter 1.7, Problem 1.70P

To determine

The dimension of the width d.

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Chapter 1.7, Problem 1.69P

Chapter 1.7, Problem 1.71P

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Chapter 1 Solutions

Mechanics of Materials

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The dimension of the width d .

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