The vertical deflection of a certain beam is given by: v(x) = 0.42493x10x³ -0.13533x108x5-0.66722x10x4 -0.018507x where
Posted: Fri Jul 08, 2022 5:54 am
The vertical deflection of a certain beam is given by: v(x) = 0.42493x10x³ -0.13533x108x5-0.66722x10x4 -0.018507x where x is the position along the length of the beam. Hence to find the maximum deflection, we need to find where f (x) 0 and conduct the second derivative test. - da - The equation for the maximum deflection as a function of x is given by: -0.67665x10x4 -0.26689x10x³ +0.12748x10x² -0.018507 - 0 Use the Newton-Raphson method of finding roots of equations to find the position x where the deflection is maximum. Use initial guess of the root as xo = 10.