Answer to Question #274724 in Mechanical Engineering for john luvis

Question

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector due to

an increase in the temperature of the element by 50 C. Perform the needed integration by evaluating the integrand

at the centroid of the element and treating the integrand as a constant throughout the element. Assume a plane stress

condition for the element

Answer 1

$N_i=\frac{y}{H}- \frac{xy}{LH}$

$N_i=\frac{5}{50}- \frac{6*5}{50+273}$

=0.1 -0.1293

=-0.0293

Ignore negative term

=0.0293