To determine To calculate: The smallest dimension a of the support. Explanation Given information: Member B is subjected to a compressive force of 600 lb. The thickness of the wood A and B are 1.6 in. The average shear stress does not exceed τ allow = 50 psi . Calculation: Sketch the Free Body Diagram of the member B as shown in Figure 1. Refer to Figure 1. Find angle of the member B to the horizontal. tan θ = 3 4 θ = tan − 1 ( 0.75 ) θ = 36.87 ° Find the support reactions as shown below. Apply the Equations of Equilibrium as shown below. Summation of forces along x direction is Equal to zero. ∑ F x = 0 600 cos 36.87 ° − F h = 0 480 − F h = 0 F h = 480 lb Sketch the Free Body Diagram of wood segment through the glue line as shown in Figure 2. Refer to Figure 2. Apply the Equations of Equilibrium as shown below

9th Edition

ISBN: 9780133254426

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 1.7, Problem 1.74P

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To calculate: The smallest dimension a of the support.

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Chapter 1.7, Problem 1.73P

Chapter 1.7, Problem 1.75P

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Mechanics of Materials

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