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problem1) The cantilever beam-like structure shown in figure below is modelled using a 2 x 10 mesh of rectangular four-node plane stress elements of equal size. Geometric boundary conditions at x=0 are as follows: The horizontal displacement is zero where as the vertical displacement is zero only at y = 0. Do the following and compare with the beam theory solution.

(a) Construct the element matrix numerically using the 2x2 point rule.
(b) Plot vertical displacement along the y = 0 line.
(c) Plot stress values at element centroids.

Py=A(1-X/L)lb/in

where A is a given constant value.
E=107psi v=0.3
L=10 in, h=1.0 in , Width (in the z direction) =0.4 in

problem2) The structure shown Problem 1 is subject to the temperature change given as ΔT=By where B is a given constant value. There is no applied surface load.

(a) Print out the global load vector due to the temperature change.
(b) Plot vertical displacement along the y = 0 line.
(c) Plot stress values at the element centroids.

problem3) Do again problem 2 with the additional constraint given as follows:
Vertical displacement is zero at x = L, y = 0.

Civil Engineering, Engineering

• Category:- Civil Engineering
• Reference No.:- M91268

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