True strain is based upon (A) Original c/s area (B) Final c/s area (C) Average c/s area (D) Instantaneous c/s area
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- A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in.in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lblb - in.in. per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.Given the stress strain curves of 4 samples containing different melanin compositions. The initial length of the models is 15 cm and their initial diameter is 10 mm. A. What is the modulus of elasticity of each of the curves? B. What will be the length of each material just before it breaks?
- 11)The total volume of inherent strains in longitudinal direction is Vy = Kq. Here what is the unit of q? O Joule (J) O Joule per unit time (J/s) O Joule per unit length (J/m) O Joulexsecond (J-s)Q6: The following stress-strain curve is for a copper alloy (Figure 1 and Figure 2). At fracture, the total length was 53 mm, and the diameter was 10 mm. The initial length and diameter were 50.8 mm and 12.8 mm respectively. Determine: a) the 0.2% offset yield strength b) the ultimate tensile strength UTS c) the modulus of elasticity E d) engineering stress and strain at fracture e) true stress and true strain at UTS f) true stress and true strain at fracture (N) Load (N) 60000- 50000 40000- 30000- 20000 10000 0- 40000- 30000 20000 10000- 04 10 15 20 Change in length (mm) Figure 1. Load-Al curve for a copper alloy 0 5 0.2 0.0 Change in length (mm) Fracture region Figure 2. The magnified load-Al curve for the same above copper alloy to show the elasticityFrom the shear stress - shear strain diagram shown below, all the following are true except: Shear Stress (MPa) 500 450 400 350 300 250 200 150 100 50 0. 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Shear Strain (rad) Shear Stress-Strain Curve for Brass Select one: O a. Shear stress and Shear strain are 430 MPa and 1.72 rad at fracture. O b. Shear stress and Shear strain are 250 MPa and 0.05 rad at Yielding. Oc. The elastic zone ends at a shear stress of 400 MPa and shear strain of 1 rad Od. The ultimate Shear stress and Shear strain are 430 MPa and 1.72 rad.
- b) A 1.25 m long cable has a diameter 3.50 mm with a Young's Modulus, E, of 9.75 x 10⁹ N/m². When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m², the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m³) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous. c) Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F, and the x-axis is 100. If force F₂ acts at an angle a = 400 between F2 and the y-axis: (i) Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. (ii) Determine the vertical force at A acting along the y-axis. Give your answers to the…! How to compute the strain displacement matrix for each element?D- EVEN: The following data are taken from a 25mm in diameter bar of length 250mm, the following results were recorded. Assume that the curve of the stress-strain diagram is linear from the origin to the first point. P (load in kN) 8(elongation in mm) 0.2 0.3 112 154 167 0.4 0.5 0.6 174 181 Determine the a. Stress at 167 KN load in MPa b. Strain at 167 kN load in mm/mm (expressed in scientific notation) c. Modulus of elasticity MPa d. Modulus of resilience in N-mm/mm3 e. Modulus of toughness in N-mm/mm3
- 1 %AV l. 1:Y0 A docs.google.com/forms/d/e مختبر ميكانيك المواد Why used two equipment in shear force and bending moment experiment (one for ?S.F and the other to B.M) إجابتك What is the relationship between the ?distance from neutral axis and stress إجابتك Explain in steps with detail, how can find the ?Young's modulus for any unknown beam إجابتك What is the meaning of + S.F, -S.F, +B.M and ?- B.M إجابتك صفحة 4 من 5 II54 MPa 11 MPa 14.04 MPa X y For the diagram given above, we have E = 90 MPa, v = 0.35 1) Determine the stress state matrix? 2) Determine the strain state matrix, also find the value of G? 3) Determine the principal strain state matrix? 4) Find the angle of rotation that is from the original strain to the principal strain?Viscosity (Pa-s) 400 1016 1014 1012 1010 108 105 104 10² 1 200 800 Borosilicate glass Temperature (°F) 1200 1600 2000 96% silica glass Working range Melting point 400 600 Fused silica 2400 2800 3:200 Strain point Annealing point Softening point Working point Soda-lime glass 1018 1016 1014 1012 1010 108 106 104 10² 800 1000 1200 1400 1600 1800 Temperature (°C) Viscosity (P)