The deflection at the midpoint of a uniform beam of length l, flexural rigidity EI and weight
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The deflection at the midpoint of a uniform beam of length l, flexural rigidity EI and weight per unit length w, subject to an axial force P, is
where m2 = P/EI. On making the substitution θ = 1/2ml, show that
As the force P is relaxed, the deflection should reduce to that of a beam sagging under its own weight. By first representing sec θ by its Maclaurin series expansion, show that
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