Ch.1 Problem 1.22 Solution | Michigan State University - Edubirdie

University:
Michigan State University
Course:
ERG 100 | Introduction to Engineering Design
Academic year:

2021
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494

Pages:

1
Author:

gewoekerdodx

PROBLEM 1.22 A 40-kN axial load is applied to a short wooden post that is supported by a concrete footing resting on undisturbed soil. Determine (a) the maximum bearing stress on the concrete footing, (b) the size of the footing for which the average bearing stress in the soil is 145 kPa. SOLUTION (a) Bearing stress on concrete footing. P = 40 kN = 40 × 103 N A = (100)(120) = 12 × 103mm 2 = 12 × 10− 3 m 2 σ = (b) P 40 × 10 3 = = 3.333 × 10 6Pa A 12 × 10− 3 σ = 145 kPa = 45 × 103 Pa Footing area. P = 40 × 103 N σ = 3.33 MPa W P A A= P σ = 40 × 103 = 0.27586 m 2 145 × 10 3 Since the area is square, A = b 2 b= A = 0.27586 = 0.525 m b = 525 mm W

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