Material under stress exhibits strain, which is a measurement of O a. stiffness O b. deformation O c. pressure O d. strength
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- Q.2 The bar is made of an aluminium alloy having a stress-strain diagram that can be approximated by the straight line segment shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is E max = 0.05. 630 560 420 (MPa) 0.006 0.025 0.05 100mm M € (mm/mm) 75mmDetermine stress and longitudinal strainA 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).
- Determine the modulus of elasticity of material that has proportial stress 110 MPa and proportional strain 0.0022.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.All 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 length
- 2. 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?X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.3. The distribution of stress in an aluminum machine component is given (in megapascals) by Ox = y + z? Oy = x + z Oz = 3x + y Txy = 3z2 Tyz = x Txz = %3D Calculate the state of strain at a point positioned at (1,2,4). Use E=70 GPa and v = 0.3
- 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 strainShear 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 strainA circular bar of magnesium alloy is 390 mm long. The stress-strain diagram for the material is shown in the figure. 70 63 56 49 O (MPa) 42 35 28 21 14 7 0.002 0.004 0.006 0.008 0.01 The bar is loaded in tension to an elongation of 2.34 mm, and then the load is removed. Hint: Use the concepts illustrated in the figures below. (Assume the curve in the figure above is linear between (0, 0) and (0.001, 28), and curves with a gradually decreasing slope otherwise.) F В E F Loading CD Loading Residual Elastic strain recovery (a) What is the permanent set of the bar (in mm)? 2.184 X mm (b) If the bar is reloaded, what is the proportional limit (in MPa)? 55 X MPa