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472 HW_4

# 472 HW_4 - the vertical deflection at the center of the...

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MAE 472, Spring 2010 Homework #4 Due 3/12/10 Problem 1 Calculate the horizontal deflection at points D and C for the simply supported five-bar truss shown below. Use Castigliano's method to solve the problem. Problem 2 Solve Allen and Haisler problem 5.1 using Castigliano’s theorem. You need to find both the horizontal and vertical deflection of point C, so you will need to apply the theorem twice. Problem 3 Consider the simply supported beam with applied loads shown below. The beam has rigidity EI yy . Find

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Unformatted text preview: the vertical deflection at the center of the beam. Hint: the problem is symmetric. z x Problem 4 A beam of length L is laminated from two thinner beams of different materials as shown below. The two beams have the same rigidity EI , however the two materials have different thermal expansion coefficients. Assuming the two beams are bonded together such that they do not slip relative to one another, find the deflection of the midpoint after a uniform temperature change, T . Use Castigliano's theorem....
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472 HW_4 - the vertical deflection at the center of the...

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