Axial Tension/Compression EA FL w= (14) Torsion GJ TL =ϑ (15) 3 Point Bending at mid span EI FL w 48 3 = (16) Poisson’s Ratio can be determined by the relation 1 2 = − G E ν (17) DYNAMIC RESPONSE OF UNIFORM BEAM IN BENDING From the available frequency equation of a simply supported uniform beam bending at mid span ([1],[2],[6]) L m n EI M K n n n 4 4 4 2 π ω = = (18) 2 mL Mn = (19) 3 4 4 2L EI n Kn π = (20) = L n x n π φ sin (21) ∑ ∞ = = 1 2 (0) n n n K H φ (22) If the static response for a simply supported uniform beam bending under a static force at mid span is equal to the zero frequency response for a simply supported uniform beam bending under a dynamic force at mid span then ∑ ∞ = = 1 3 4 4 2 3 2 2 sin 48 n L n EI n EI L π π (23) 171
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