(b) The transverse displacement of a simple two-noded beam element of length L is written as...

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(b) The transverse displacement of a simple two-noded beam element of length L is written as V(x)=N1(x)V1 + N2(x)01 + N(X)V2 + N4(X)02 where v₁ and v₂ are the nodal transverse displacements and 8₁ and 82 are the nodal rotations. Select suitable interpolation functions for this element. (c) The components of the nodal load vector for this element are fi = f₁ q(x)N₁(x)dx [5 marks] where q(x) is the transverse loading. Evaluate the nodal load vector for the following cases: (i) a uniformly distributed load qo; (ii) a concentrated load P₁ applied at node 1 and a concentrated moment M₂ applied at node 2. [12 marks] 3 (b) The transverse displacement of a simple two-noded beam element of length L is written as V(x)=N1(x)V1 + N2(x)01 + N(X)V2 + N4(X)02 where v₁ and v₂ are the nodal transverse displacements and 8₁ and 82 are the nodal rotations. Select suitable interpolation functions for this element. (c) The components of the nodal load vector for this element are fi = f₁ q(x)N₁(x)dx [5 marks] where q(x) is the transverse loading. Evaluate the nodal load vector for the following cases: (i) a uniformly distributed load qo; (ii) a concentrated load P₁ applied at node 1 and a concentrated moment M₂ applied at node 2. [12 marks] 3

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For a simple twonoded beam elementthe following interpolation functions can be used N1x 1 xLN2x xLN3x xL xL2N4x L x2L2 These functions satisfy the fol... View the full answer