A 40-kN axial load is applied to a short wooden post that is supported by a concrete footing resting on undisturbed soil. Determ
ine (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.
1 answer:
Answer:
<em>a. 3.33 MPa</em>
<em>b. 0.276 m^2</em>
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Explanation:
The image is attached below.
The load = 40 kN = 40000 N
side length of wooden post L = 120 mm = 0.12 m
side width of the wooden post B = 100 mm = 0.1 m
Area of the beam = L x B = 0.12 x 0.1 = 0.012 m^2
a. <em>Maximum bearing stress of the concrete footing = load/area</em>
max. bearing stress = 40000/0.012 = 3.33 x Pa = <em>3.33 MPa</em>
b. If the average bearing stress in the soil is 145 kPa = 145000 Pa
<em>size of the footing will be = load ÷ average bearing stress</em>
size of footing = 40000/145000 ≅<em> 0.276 m^2</em>
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