sample_quizzes - SAMPLE QUIZZES - ELASTICITY -1 Sample Quiz...

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SAMPLE QUIZZES - ELASTICITY - 1 – Sample Quiz Questions 1. Derive the following strain-displacement relationship similar to what we did in class y u x xy + = / / υ γ 2. A thin rectangular plate a=20 mm and b=12 mm is acted upon by a stress distribution resulting in the uniform strains in the body µ ε 200 , 500 , 300 xy y = = = x (a) Determine the change in length of diagonal QB. (b) What is the maximum shear strain in the body? y A B b Q C a 3. A thin walled cylindrical pressure vessel of diameter ‘d’ and thickness ‘t’ is subjected to an internal pressure ‘p’. If there is a small circular hole in the vessel wall, what is the maximum tangential stress at the hole edge. Show your steps clearly. Given are the following hints. Hints are just hints – using them is your choice. Hint A. You can use superposition and transformation of coordinates. Hint B. An infinite plate with a hole of radius ‘a’ subjected to a uniform axial tension σ ’ gives the tangential stress at the hole edge as ) Cos2 2 - (1 ) , ( θ σ θθ = = a r Hint: The stresses in a thin walled pressure vessel of diameter d and thickness t subjected to a uniform pressure ‘p’ is t pd y 2 = (tangential stress); t pd x 4 = (axial stress) x
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SAMPLE QUIZZES - ELASTICITY - 2 – 4. The cantilever beam, fixed at x=L, is loaded by a bending moment ‘M’ as shown in the figure. (a) Find the vertical deflection, v(x,y) of the beam using Airy stress function method. You are given that Airy stress function of the form
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sample_quizzes - SAMPLE QUIZZES - ELASTICITY -1 Sample Quiz...

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