Solve Problem 16.19 for the case where P is cycled 107 times from 0 to Pmax. (See Example...

Solve Problem 16.19 for the case where P is cycled 107 times from 0 to Pmax. (See Example 16.4.)

The beam in Figure P16.19 is made of 2024-T4 aluminum alloy (E = 72.0 GPa, Y = 330 MPa, σu = 470 MPa, and σam = 170 MPa for 107 cycles of completely reversed load). The beam is subjected to 107 completely reversed cycles of load P. If h = 200 mm and ρ = 25.0 mm, determine the magnitude of P, based on a factor of safety of 1.80.

FIGURE P16.19

Example 16.4