- A biological tissue underwent tensile tests, subjected to the axial load P. a) Determine the average normal (ơ) and average shear stresses (t) acting over area section shown below(A’), which is oriented at angle 0 from the horizontal, as a function of 0 and vertical cross section A. b) Determine angle 0 where o=3 t.
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm x 45 mm x 43 mm, subjected to 3 mutually perpendicular loads. The load along length, breadth and depth directions are 10 kN (tensile), 20 kN (compressive), 16 kN (compressive) respectively. Take E as 140 GPa, Poisson’s ratio as 0.3 The stress along length direction (Unit in MN/m2)= The compressive stress along width direction (Unit in MN/m2)= The compressive stress along depth direction (Unit in MN/m2)= The change in volume of the block is (unit in mm3) =A hollow circular pole 3 m high is fixed at the base. It is 6mm thick and its outside diameter is 300mm. The pole is subjected to a torque and a lateral force at the free end. Given: Torque, T = 25 kN-m Lateral Force, N = 3 kN Shear Modulus of Elasticity = 78 GPa Allowable Shear Stress = 60 MPa 1. What is the maximum shear stress (MPa) at the outside surface of the pole due to the torque, T? 2. What is the angle of twist (degree) due to the torque? 3. Find the maximum flexural stress (MPa) at the base of the pole due to the lateral force.
- A steel bar of 5 mm is heated from 15° C to 40° C and it is free to expand. The bar Will induce A. no stress B. shear stress C. tensile stress D. compressive stressA solid circular bar of steel (G = 78 GPa)transmits a torque T = 360 N ? m. The allowablestresses in tension, compression, and shear are90 MPa, 70 MPa, and 40 MPa, respectively. Also,the allowable tensile strain is 220 x10 -6 .(a) Determine the minimum required diameter d ofthe bar.(b) If the bar diameter d = 40 mm, what is Tmax?Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm x 60 mm x 43 mm, subjected to 3 mutually perpendicular loads. The load along length, breadth and depth directions are 10 kN (tensile), 25 kN (tensile), 13 kN (compressive) respectively, Take E as 180 GPa, Poisson's ratio as 0.3. The stress along length direction (Unit in kN/m2)= _____________ The stress along width direction (Unit in kN/m2)= _____________ The compressive stress along depth direction (Unit in kN/m2)= _____________ The change in volume of the block is (unit in mm3) = ______________
- 36. A steel bar is heated from room temperature to 80oC while it is free to expand. The bar will therefore be subject to: A. Compression B. Tension C. No Stress D. ShearConsider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 13 ksi, Sy = 15 ksi, and Sxy = 13 ksi.(a) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(b) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
- A sheet metal cutting machine cuts the sheet metal via shear force, V as shown in Fig. 1. The crosssection of sheet metal is rectangular with width, b = 3m and thickness, d = 5mm. The sheet metal ishaving yield strength σy = 220 MPa; Young’s modules, E = 200 GPa and Poisson’s ratio, ν = 0.3.Conduct the following analyses at the state of stress when maximum stress reaches σy and beforeshearing commences. (Need answer Question c) & d) c. Sketch the YIELD LOCI for both cases above. d. As a sheet-metal engineer, which failure criterion in (b) will you use to determine the cuttingshear force? Explain the reason for your answer.STRENGTH OF MATERIALS W/SOLUTION 1.) A penstock pipe 10m diameter carries water under a pressure head of 100m. If the wall thickness is 9mm, the tensile stress in the pipe wall is nearest to? A. 2725 B. 1090 C. 545 D. 110 E. NOTAA [0/90/0/±45]s Glass/Epoxy laminate is subjected to the following mechanical loads: Nx =Ny= 80*10^5 N/m. The thickness of each lamina is 0.25 mm. Longitudinal modulus of elasticity = E1 = 38.6 GPa , Transverse modulus of elasticity = E2 = 8.27 GPa , Poisons Ratio 0.26. a) Determine the local stresses at the top of 45° ply