Question: Problem is a single element. Find the approximate displacement over the domain for u(x)=Nd (Cubic function). Applied body force is linear polynomial f(x)=L4x. For the

Problem is a single element. Find the approximate displacement over the

Problem is a single element. Find the approximate displacement over the domain for u(x)=Nd (Cubic function). Applied body force is linear polynomial f(x)=L4x. For the shape functions, in one dimension, for 0xL are expressed below. Assume E, A constant. Units of problem are inches and pounds. F(x) in lb2/ in. N matrix are unitless besides x and L. 0LEAdxdwdxdudx=0Lwf(x)dx(Weakform)NT=N1N2N3N4=1L23x2+L32x3xL2x2+L2x3L23x2L32x3Lx2+L2x3 Problem is a single element. Find the approximate displacement over the domain for u(x)=Nd (Cubic function). Applied body force is linear polynomial f(x)=L4x. For the shape functions, in one dimension, for 0xL are expressed below. Assume E, A constant. Units of problem are inches and pounds. F(x) in lb2/ in. N matrix are unitless besides x and L. 0LEAdxdwdxdudx=0Lwf(x)dx(Weakform)NT=N1N2N3N4=1L23x2+L32x3xL2x2+L2x3L23x2L32x3Lx2+L2x3

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