1: For a material stress at proportionality limit is 400 MPa and modulus of elasticity is 200 MPa. The modulus of resilience for material will be.
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- Note: Give me iii & iv solutionsAn element in plane stress is subjected to stresses o, = -8400 psi, ay = 1100 psi, and ty = 1700 psi (see figure). The material is aluminum with %3D modulus of elasticity E =10,000 ksi and Poisson's ratio v = 0.33. Determine the following quantities: (a) the strains for an element oriented at an angle 30 degrees, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements. Ty Txy OxSolve Clearly!!!!z,
- Q.3: A steel rod with a cross sectional area of 150 mm² is stretched between two fixed points. The tensile load at 20°C is 5000 N. a) What will be the stress at -20°C. b) At what temperature will the stress be zero? Assume a-11.7 μm/m . °C and E= 200 GPa?30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E=69 GPa If Poisson's Ratio is 0.33, what will be the lateral strain? E=68 v=-e(lateral) e(axial)30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)
- 1 The principal stresses at a point in an elastic material are 1.50 (tensile), o (tensile) and 0.50 (compressive). The elastic limit in tension is 210 MPa and μ = 0.3. What would be the value of o at failure when computed by different theories of failure.2. Given a 5 mm diameter steel wire, which is 4 meters long, carries an axial tensile load P. Find the maximum safe value of P if the deformation of the wire is limited to 5.5 mm and the allowable normal stress of the wire is 280 MPa. Use 200 000 MPa for the modulus of elasticity of steel.A brass wire of diameter d = 2.33 mm is stretched tightly between rigid supports so that the tensile force is T = 93 N (see figure). T The coefficient of thermal expansion for the wire is 19.5 x 106/°c, and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop (in °C) if the allowable shear stress in the wire is 60 MPa? (Enter the magnitude.) °C (b) At what temperature change (in °C) does the wire go slack? °C
- An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 840 mm. The cross-sectional dimensions of the beam are b1 = 30 mm, d1 = 108 mm, b2 = 18 mm, d2 = 18 mm, and a = 6 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a M. d2 d1 | A ВAn extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 800 mm. The cross-sectional dimensions of the beam are b1 = 35 mm, d1 = 108 mm, b2 = 21 mm, d2 = 21 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 780 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 104 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 10 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 ✓ a M d₁ B L N.m A Answer: M = d₂ b₁