Assume that the deflected shape of a beam AB with immovable pinned supports (see figure) is given by the equation v = δ sin π x/L, where δ is the deflection at the midpoint of the beam and L is the length. Also, assume that the beam has constant axial rigidity EA.
(a) Obtain formulas for the longitudinal force H at the ends of the beam and the corresponding axial tensile stress σt.
(b) For an aluminum-alloy beam with E = 10 x 106 psi, calculate the tensile stress σ when the ratio of the deflection δ to the length L equals 1/200, 1/400, and 1/600.

Transcribed Image Text:

B H