Q4 What level of free horizontal movement is required in a 2

Q4. What level of free horizontal movement is required in a 2.0m long simply supported beam, with a cross-sectional acaof400mm2, so that no thermal stresses wll occur over a temperature range of +5°C to +35°C? Assume Est 200GPa and. 12x10°C

Solution

Given

L = 2 meter

_st = 12 *10^-6 /(degree C)

T = 30 degree C

E_st = 200 GPa

A = 400 mm²

We know that

L/L = _st * T

L = _st * T * L

L = 12*10^-6 * 30 * 2

L = 7.2*10^-4 meter

Free horizontal movement (L) = 0.72 mm    Answer