Viscosity is the proportionality factor that relates the shear stress to the shear strain.
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- Poisson's Ratio is: a. The ratio of stress to strain in the elastic region. b. The ratio of transverse strain to axial strain. c. The ratio of maximum stress to average stress. d. The ratio of yield strength to allowable stress.24. Expressed as the ratio of total deformation to the initial dimension of the material body in which forces are being applied. a. Elasticity b. Dislocation c. Stress d. Strain 25. The stress in an elastic material is: a. Inversely proportional to the materials yield strength b. Inversely proportional to the force acting c. Proportional to the displacement d. Inversely proportional to the strainAt a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are are follows: tensile stress 50 N/mm2 and shear stress 40 N/mm2 on one plane, compressive stress 35 N/mm² and complementary shear stress on the third plane. Find : (a) the principal stresses and the positions of the planes on which they act, (b) the positions of the planes on which there is no normal stress.
- A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).Why is the stress result of displacement finite element lessaccurate than that of displacement? What are the characteristics of stress results? What can be done to improve the stress results?9 The ratio of direct stress to the corresponding volumetric strain is constant within its elastic limit. The ratio is known as Volumetric strain Bulk modulus Shear modulus Modulus of elasticity Poisson's ratio
- 2.Discuss elastic region in a tensile test and shear test. It is always linear. What is engineering stress, strain ? Give Hooke's law, for tensile and shear deformation with corresponding modulus.An element in plane stress is subjected to stresses o, = -8400 psi, ay = 1100 psi, and ty = 1700 psi (see figure). The material is aluminum with %3D modulus of elasticity E =10,000 ksi and Poisson's ratio v = 0.33. Determine the following quantities: (a) the strains for an element oriented at an angle 30 degrees, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements. Ty Txy Ox2. What refers to the stress in the material at the elastic limit? 3. What is the ratio of the transverse strain to the corresponding axial strain in a body subjected to uniaxial stress? 4. Within elastic limit, the shear stress is proportional to shear strain. What is the constant of proportionality of this statement called?
- Shear modulus (G) is the ratio of a. Linear stress to lateral strain O b. Volumetric strain to linear strain c. Shear stress to shear strain O d. Linear stress to linear strainAll of the following statements are correct except:a. Materials with higher modulus of elasticity, E are relatively weaker than those with lower E.b. Stress is proportional to strain within the elastic range.c. High carbon steel is stronger than concrete.d. In normal loading, the slope of the stress-strain curve is a material property called modulus of elasticity.The deflection of a beam is: A. Directly proportional to the modulus of elasticity and Moment of inertia B. Inversely proportional to the modulus of elasticity and moment of inertia C. Directly proportional to the load imposed and inversely to the length squared D. Inversely proportional to the weight and lengthDiscuss the principles of stress and deformation analysis for several kinds of stresses