Question

Do not round intermediate calculations. Give your final answer(s) to three significant figures. Knowing that beam A B is an S200 x 34 rolled shape and that P = 40 kN, L = 4 m, and E-200 GPa, determine the slope at A x 10rad

Answer 1

Given is:-

The exaggerated shape of the elastic curve for the beam is as shown below:

Now,

Raz-

(at x = 0, L/2)

Applying deflection equation we get

by integrating we get

at x = L/2 dy/dx =0

we get

$Eldy=0$

or

now

at x=0    eq-1

by obtaining the value of moment of inertia of S200*34 roller shape from American standard shapes table we get

by plugging all the values in eq-1 we get

which gives us