Question

Consider the beam and loading shown. Assume that the flexural rigidity Elof the beam is constant Mo References eBook &Resources Section Break Difficulty. Easy value: 10.00 points Determine the deflection at the free end. (Round the final answer to two decimal places.) The deflection at the free end is EI

Answer 1

Take x distance from free end We know that M _ d´y EI dx? M. _d’y El dx? Integrating on both side Mx +C, - ay EL L=0 dx M X EL +C =0 ..... (1) On integrating again q+Cx+C = y 2EI M 2 ...(2) Use boundary conditions as follows: At x=L O=0 y=0 Putting the above values in equation (1) and (2). MX+C =0 ΕΙ Mo+Cx+C = y 2)(2)+c=0 C - MEDO 2EI

Put the value of C, and C, in equation 2. Mx? (-M x M L = v 2E1 | EI ** 2EI-> IX+ We know that at free end x = 0 y=0+0+ 251 y=0.50 ML (1)