5.15 Figure P5.15a shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. P5.15b)
y = ________ 0
120E I L (−x5 + 2L2
x3 − L4
x) (P5.15)
Use bisection to determine the point of maximum deflection (i.e., the value of x where dy/dx = 0). Then substitute
this value into Eq. (P5.15) to determine the value of the
maximum deflection. Use the following parameter values in your computation: L = 600 cm, E = 50,000 kN/cm2
,
I = 30,000 cm4
, and 0 = 2.5 kN/cm