Question

Q1 (a) A cylindrical specimen of brass, with diameter 10mm and a length 150mm is to be tested in a simple tension test. The material Young's modulus E = 105 kN/mm^2 and Poisson's ratio ? = 0.3. Calculate the axial stress and strain in the specimen when an axial force of 4kN is applied. Calculate also the strain in the transverse direction. Hence calculate the increase in length and reduction in diameter of the specimen. (b) A metal plate is subjected to a two-dimensional stress state with ?x = 100 N/mm^2, ?y = 20 N/mm^2 and ?xy = 60 N/mm^2. Sketch the Mohr's circle of stress and hence calculate the magnitude of principal stresses and the direction of the major principal stress relative to ?x. (c) Using Hooke's equation derive an equation for shear modulus (G) expressed in terms of Young's modulus and Poisson's ratio. The equation for shear modulus sets the limit for physically possible values of Poisson's ratio; what is that limit? Justify your answer.

          Q1 (a) A cylindrical specimen of brass, with diameter 10mm and a length 150mm is to be tested in a simple tension test. The material Young's modulus E = 105 kN/mm^2 and Poisson's ratio ? = 0.3. Calculate the axial stress and strain in the specimen when an axial force of 4kN is applied. Calculate also the strain in the transverse direction. Hence calculate the increase in length and reduction in diameter of the specimen.

(b) A metal plate is subjected to a two-dimensional stress state with ?x = 100 N/mm^2, ?y = 20 N/mm^2 and ?xy = 60 N/mm^2. Sketch the Mohr's circle of stress and hence calculate the magnitude of principal stresses and the direction of the major principal stress relative to ?x.

(c) Using Hooke's equation derive an equation for shear modulus (G) expressed in terms of Young's modulus and Poisson's ratio. The equation for shear modulus sets the limit for physically possible values of Poisson's ratio; what is that limit? Justify your answer.

Q1 (a) A cylindrical specimen of brass, with diameter 10mm and a length 150mm is to be tested in a simple tension test. The material Young's modulus E = 105 kN/mm^2 and Poisson's ratio ? = 0.3. Calculate the axial stress and strain in the specimen when an axial force of 4kN is applied. Calculate also the strain in the transverse direction. Hence calculate the increase in length and reduction in diameter of the specimen.

(b) A metal plate is subjected to a two-dimensional stress state with ?x = 100 N/mm^2, ?y = 20 N/mm^2 and ?xy = 60 N/mm^2. Sketch the Mohr's circle of stress and hence calculate the magnitude of principal stresses and the direction of the major principal stress relative to ?x.

(c) Using Hooke's equation derive an equation for shear modulus (G) expressed in terms of Young's modulus and Poisson's ratio. The equation for shear modulus sets the limit for physically possible values of Poisson's ratio; what is that limit? Justify your answer.

Added by Alvaro N.

Question

Please give Ace some feedback