Explanation Given information: The length of the post ( L ) is 2 m. The diameter of the post ( d ) is 60 mm. The modulus of elasticity of Douglas Fir, ( E ) is 13.1 GPa . The point load act at the post ( P ) is 20 kN . The uniformly distributed load of the post ( w ) is 4 kN/m . Calculation: Convert the unit of length ( L ): L = 2 m × 10 3 mm 1 m = 2 × 10 3 mm Calculate the area of the post ( A ) using the formula: A = π 4 d 2 (1) Substitute 60 mm for d in Equation (1). A = π 4 ( 60 ) 2 = 900 π mm 2 Calculate the frictional resistance of the post ( F r ) : F r = 4 × 2 = 8 kN/m Draw the free body diagram of theentire post as shown in Figure 1: Refer Figure 1: Calculate the force at bottom of the post ( F ) by applying the equation of equilibrium: Sum of vertical forces is equal to 0. Σ F y = 0 F + 8 − 20 = 0 F − 12 = 0 F = 12 kN Hence, the force at bottom of the post ( F ) is 12 kN _ . Draw the free body diagram of thepost as shown in Figure 2: Refer Figure 2: Calculate the frictional resistance till the section y : F r ( y ) = 4 ( y ) = 4 y kN/m Calculate the force F at the section y by applying the equation of equilibrium: Sum of vertical forces is equal to 0

9th Edition

ISBN: 9780133254426

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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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 4.2, Problem 4.14P

To determine

the force at bottom of the post (F) .

To find: the displacement of the top of the post A with respect to bottom B (δA/B) .

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Chapter 4.2, Problem 4.13P

Chapter 4.2, Problem 4.15P

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Chapter 4 Solutions

Mechanics of Materials

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the force at bottom of the post ( F ) . To find: the displacement of the top of the post A with respect to bottom B ( δ A / B ) .

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the force at bottom of the post (F) . To find: the displacement of the top of the post A with respect to bottom B (δA/B) .

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the force at bottom of the post (F) .

To find: the displacement of the top of the post A with respect to bottom B (δA/B) .