Figure shows the beam of uniform rectangular cross section 10 cm x 12 cm. subjected to point load and uniformly distributed load .Young's modulus is 2 MPa and poisson's ratio is 0.3 Determine the deflections and slopes.

Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 10M

Year: Day 2016

$w_1,w_3,w_5,w_7,$ represent deflection at nodes 1,2,3, and 4 resp

$w_2,w_4,w_6,w_8,$ represent slopes at nodes 1,2,3, and 4 resp

Elemental matrix $ eq^n,$

$\frac{2EI}{h_e^3}$ $\begin{bmatrix} \ 6 & -3he & -6 & -3he \\ \ -3he & 2he^2 & 3he & he^2 \\ \ -6 & 3he & 6 & 3he …