The ratio of direct stress to the volumetric strain is known as Bulk Modulus Select one: True False
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The ratio of direct stress to the volumetric strain is known as Bulk Modulus
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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?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 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.
- 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.On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses on sketches of properly oriented elements.Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
- Use the principle of Strain energy due to direct stresses strength of materials 2Do the Plane strain and plane stress each have three components lying in thesame plane?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?
- Can the normal strain on the free surface of a body be measured in aparticular direction using an electrical resistance strain gage? Give an example?A 200 meter cable is suspended vertically. At any point along the cable, the strain is proportional to the length of the cable below the point. If the strain at the top of the cable is 0.001, determine the total elongation of the cable.A specimen is originally 1.5 ft long, has a diameter of 0.7 in., and is subjected to a force 550 lb. When the force is increased to 1900 lb, the specimen elongates 0.9 in. Determine the strain on the specimen and the modulus of the material. a. Strain Answer: _______ in./in. b. Modulus of Elasticity Answer: _______ ksi