In structural engineering, the secant formula defines the force per unit area, P/A, that causes a maximum
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In structural engineering, the secant formula defines the force per unit area, P/A, that causes a maximum stress σm in a column of given slenderness ratio L/k:
P/A = σm/1 + (ec/k2) sec [0.5√P/(EA) (L/k)]
Where ec/k2 = the eccentricity ratio and E = the modulus of elasticity. If for a steel beam, E = 200,000 MPa, ec/k2 = 0.4, and σm = 250 MPa, compute P/A for L/k = 50. Recall that sec x = l / cos x.
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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