Question

A horizontal cantilever beam of length 2l is deflected under the combined effect of its own constant weight W and a point load of magnitude P located at the midpoint. Apply Laplace transforms to evaluate the deflection of the beam which satisfies the boundary value problem EI(d^4y/dx^4) = W[H(x)-H(x-2l)]+P δ (x-l),0y(0)=0=y'(0), y" (2l) = 0= y"' (2l). where EI is the uniform flexural rigidity, H is Heaviside step function, and δ is Dirac delta fn.​

Answer 1

Answer:

Step-by-step explanation:

A horizontal cantilever beam of length 2l is deflected under the combined effect of its own constant weight W and a point load of magnitude P located at the midpoint. Apply Laplace transforms to evaluate the deflection of the beam which satisfies the boundary value problem EI(d^4y/dx^4) = W[H(x)-H(x-2l)]+P δ (x-l),0y(0)=0=y'(0), y" (2l) = 0= y"' (2l). where EI is the uniform flexural rigidity, H is Heaviside step function, and δ is Dirac delta fn.