The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?
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The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?
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- 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 300You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The material has a Young’s modulus of 72 GPa. If a compressive load of 3 kN is applied parallel to the 2.3m dimension, what is the resulting engineering normal strain?Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
- (Suppose you need to design a tension test machine capable of testing specimens that have nominal ultimate stresses as high as σu = 100 ksi . How much force must the machine be capable of generating? Assume the testing specimen has the ASTM shape shown. Answer for this is 19.6 kip) (If the maximum nominal strain is ϵf = 0.7 just before the test specimen fractures and the test machine operates by moving only one grip, how far must that grip be designed to travel? The total length of the deforming part of the specimen is 3 in. Answer for this is 2.10 in) Do not know if this info is needed but this was the other 2 partsIn the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 500 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?Normal forces (F1, F2, and F3) are uniformly applied across the faces of a rectangular polycrystalline block of material, as shown in the attached photo. The dimensions of the block are S1 = 5 cm, S2 = 12 cm, and S3 = 4 cm. Calculate the normal engineering strain in the X2 direction due to the resulting elastic deformation. Use the following if needed: E = 250 GPa, ν = 0.35, μ = 56 GPa, F1 = 50 kN, F2 = 10 kN, and F3 = 5 kN.
- A tension test was performed on a specimen having an original diameter of 12.5 mm and a gage length of 50mm. The data are listed in the table below: Complete the following: Plot the stress-strain curve. Label the y-axis every 50 MPa, and the x-axis every 0.05 mm/mm. Plot the linear portion of the stress-strain curve (first 5 points). Label the y-axis every 50 MPa, and the x-axis every 0.001 mm/mm. Determine the approximate Modulus of Elasticity Determine the approximate Ultimate Stress Determine the approximate Fracture Stress Determine the approximate Modulus of Resilience Determine the approximate Modulus of Toughness Other Requirements: Provide an example hand-written calculation showing how you calculated one point on the curve. Remember to properly label your plots and provide axis labels with units. Hand sketched plots will not be accepted. Use Excel or similar software.O 0.6% 19% If an isotropic material has a Young's modulus of 85 Gpa and a Poisson's ratio of 0.25, calculate its shear modulus. Select one: O G = 29 Gpa O G = 34 Gpa G = 25 Gpa O G= 77 Gpa O G= 46 Gpa If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD. C 2 mm 4 mm EN DO OAfter 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.
- 4. A cylindrical metal wire 2m long is loaded in tension, causing it to extend 15mm. Calculate the axial strain and represent you answer in terms of microstrain and % elongation. ● ● Draw a free body diagram (geometry & forces) Identify stress plane Calculate microstrain and % elongation and write it (with appropriate units) in the outlined box b) Based on your calculation, is this behavior typical of a ductile or brittle material? Check one box.4. The maximum stress a human tendon can withstand is estimated to be 1200 MPa. If you were to test it for rupture what load cell you should use (25ON or 5kN) what problems may occur if you select an incorrect load cell. 5. The figure below is a J-shaped (or concave upward) stress-strain curve. What does a J-shaped stress stain curve indicate about a material's response to stress and tendency to yield? Name two materials that have J-shaped stress strain curves.A circular solid piece of rock is tested in a compression testing rig to examine its stress/strain behavior. The sample is 6 inches in diameter and 12 inches in length, with the compression load cell imposing a constant load of 10000 lbf equally at both the top and bottom of the rock sample. Assuming a measured reduction in length of 0.02 inches, find the compressive stress and strain of the rock.