Identify the material that has maximum stiffness value from the following stress- strain curves.
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- - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
- An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.1. In the nominal stress-strain diagram (Figure 1), write down the names and meanings of points 1, 2, 3, and 4.2. Explain how to find the 0.2% offset yield strength, and explain the% elongation and% reduction in cross-sectional area.3. After explaining the difference between the true stress/strain and the nominal stress/strain, show the true stress-strain diagram for the nominal stress-strain diagram (Figure 1) to correspond points 1, 2, 3, and 4.
- For a given material, the ratio of lateral strain to linear strain is observed as 0.2 when axially loaded. What will be Poisson’s ratio of that material? Take diameter of the specimen is 50mm and Length=1m. a. 0.1 b. 0.2 c. 0.15 d. 5A tensile bar is stressed to 250 N/mm2 which is beyond its elastic limit. At this stage the strain produced in the bar is observed to be 0.0014. if the modulus of elasticity of the material of the bar is 205000 N/mm2 then the elastic component of the strain is very close toa. 0.0004b. 0.0002c. 0.0001d. 0.00005 PLS EXPLAIN YOUR ANSWER THOROUGHLYTo determine the nominal or engineering stress and strain experienced by a specimen of a material while it is subjected to a tension test, and to be able to read important values from a conventional stress-strain diagram obtained from the test.A tension test is being conducted on a steel-rod specimen with a gauge length of L0=2 in and initial diameter of d0=0.5 in. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 73.0 ksi , e = 101.0 ksi g=83.0ksi, and h=0.15in/in Part A - Nominal or engineering strain in the rod Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 2.5 in . Express the nominal strain in inches per inch to three significant figures. Part B - Nominal or engineering stress in the specimen Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 8.0 kips ,…
- A tensile force of 10 kN is applied on a 0.02-m diameter and 2-m long rod. After applying theload, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. The lateral (transverse) strain is?After explaining the difference between the true stress/strain and the nominal stress/strain, show the true stress-strain diagram for the nominal stress-strain diagram (Figure 1) to correspond points 1, 2, 3, and 4.When a homogeneous isotropic material is subjected to a state oftriaxial stress, the strain in each direction is influenced by thestrains produced by all the stresses.how?