Q2. A thermo gate consist of an aluminum plate AB and a magnesium plate CD, each having a width of 15.0 mm and fixed supported at their ends as shown in Figure Q2. If the gap between them is 1.5 mm when temperature is T= 25.5 °C, (a) Determine the temperature, T required to just close the gap. (b) Determine the axial force in each plate when the temperature T becomes 100°C. | Assume bending or buckling will not occur. Given E = 68.9 GPa, E= 44.7 GPa, a = 24 (10-6)/°C,Co = 26 (10-6)/°C 10 mm 10 mm в с 600 mm 400 mm Figure Q2

Q2. A thermo gate consist of an aluminum plate AB and a magnesium plate CD, each having a width of 15.0 mm and fixed supported at their ends as shown in Figure Q2. If the gap between them is 1.5 mm when temperature is T= 25.5 °C, (a) Determine the temperature, T required to just close the gap. (b) Determine the axial force in each plate when the temperature T becomes 100°C. | Assume bending or buckling will not occur. Given E = 68.9 GPa, E= 44.7 GPa, a = 24 (10-6)/°C,Co = 26 (10-6)/°C 10 mm 10 mm в с 600 mm 400 mm Figure Q2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.

Question

Q2. A thermo gate consist of an aluminum plate AB and a magnesium plate CD, each having a
width of 15.0 mm and fixed supported at their ends as shown in Figure Q2. If the gap
between them is 1.5 mm when temperature is T= 25.5 °C,
(a) Determine the temperature, T required to just close the gap.
(b) Determine the axial force in each plate when the temperature T becomes 100°C.
|
Assume bending or buckling will not occur. Given
Е,3 68.9 GPа, Е— 44.7 GPa.
am
w
a = 24 (10-6)/°C,Co = 26 (10-6)/°C
10 mm
10 mm
в с
600 mm
400 mm
Figure Q2

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