Determinethe change in diameter of a circular steel rod axially loaded in compression where the diameter is 4.8cm and the axial strain of –0.0021 with poisson's ratio of 0.27.
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Determinethe change in diameter of a circular steel rod axially loaded in compression where the diameter is 4.8cm and the axial strain of –0.0021 with poisson's ratio of 0.27.
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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 300Find the value of strain if initial length of rod is 100 m and change in length of rod due tensile load is 0.0023 mA mild steel rod of 12mm diameter was tested for tensile strength with the gauge length of 60mm. After the test final length and the final diameter were 80mm and 7mm, respectively. Find the strain in the transverse direction
- Computing the initial length of rod Strain-0.0078 Change in length=0.05 mmStress strain behavior of a cast iron with a diameter of 15.8mm and gauge length of 60.80mm is shown in the graphs. Find the ductility in percent elongationProblem F2 stress (ksi) 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175 strain (in/in) Above you will find the experimental stress-strain diagram of 1045 steel. Calculate the permanent set if a cylindrical specimen with a diameter of 2 in is loaded to the ultimate stress and then unloaded. Provide your answer in units of in/in with 3 significant figures after the decimal. The elastic modulus of 1045 steel is 29,000 ksi.
- (d) Define Modulus of Resilience 2. Draw the stress-strain diagram for a typical ductile material and locate the salient points onit 3. A bar of 25 mm diameter is tested in tension. It is observed that when a load of 60 kN is applied, the measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0045 mm. Find Poissa 4. A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40 kN. The modulus of e steel may be taken as 200 kN/mm?. Find the elongation and strainin the bar due to applied load. 5. Define (a) Resilience (b) Proof resilience PART -B structions: Part B consists of 3 Units. Answer any one full question from each unit. Each questioncarries 8 marks and may have su 1. A steel circular bar has three segments as shown in the fig. Determine the total elongation ofthe bar. Take E = 210 GPa. 300 kNI 330 kN 30 mm 50KN 15 mm 20 mm 80 kN A + 150 mm 200 mm 250 mm B. D (OR)A cylindrical specimen of a steel alloy 10 mm in diameter and 100mm long is pulled in tension at a load of 23500N and the strain found to be 0.0015, the elongation will be: Select one: 0.15mm Ob. 0.023mm 0.100mm Od. 0.0015mmLet's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulusE=120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F.
- 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.3. A force P is applied to the rigid lever arm ABC as shown. The arm rotates counterclockwise about pin A through an angle of 0.06. Calculate the normal strain developed in wire BD. Answer: 0.0014 mm/mm 300 mm 400 mm- 4. The control linkage of an airplane consists of a rigid member DBC and a flexible cable AB. A force P is applied to the end D of the member and causes it to rotate by 8-0.35°. The cable is assumed to be originally unstretched. Determine the strain developed in the cable. Answer: A = 0.00282 mm/mmThe stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) :