Determine the deflection of the beam in Problem 7.18. E = 12.0 GPa for the yellow pine.
A timber member 250 mm wide by 300 mm deep by 4.2 m long is used as a simple beam on a span of 4 m. It is subjected to a concentrated load P at midspan. The plane of the loads makes an angle ϕ = 5π/9 with the horizontal x axis. The beam is made of yellow pine with a yield stress Y = 25.0 MPa. The beam has been designed with a factor of safety SF = 2.50 against initiation of yielding. Determine the magnitude of P and the orientation of the neutral axis.
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