A steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E, the modulus of elasticity, is 2 × 106 kg/cm², then the maximum tensile stress induced in the wire is.
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- 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 symmetrical framework consisting of three pin-connected bars is loaded by a forceP (see figure). The angle between the inclined bars and the horizontal is a = 52°. Theaxial strain in the middle bar is measured as 0.036.Determine the tensile stress in the outer bars if they are constructed of a copper alloyhaving the following stress-strain relationship:A bronze rod is rigidly attached between an aluminum rod and a steel rod as shown in the figure below. Axial loads are applied at the positions indicated. a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in bronze of 100 MPa, or in aluminum of 90 MPa. b) Determine the deformation of the bronze rod if the value of P is 22.50 KN. The moduli of elasticity are 200 GPa for steel, 80 GPa for bronze and 70 GPa for aluminum.
- A steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E, the modulus of elasticity, is 2 × 106 kg/cm², then the maximum tensile stress induced in the wire is.Strain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)A bar of length 2.0m is made of a structural steel having the stress-strain diagram shown in the figure. The yield stress of the steel is 250 MPa and the slope of the initial linear part of the stress-strain curve (modulus of elasticity) is 200GPa. The bar is loadded axially until it elongates 6.5mm, and then the load is removed. How does the final length of the bar compare with its original length? (Hint: Use the concepts illustrated in figure below)
- A steel rod with a cross-sectional area of 0.25in2 is stretched between two fixed points. The tensile force in the rod at 70°F is 1200lb. If a = 6.5x10-6/°F and E = 29x106 psi, What will be the stress at 0°F? At what temperature will the stress be zero? A bronze bar 3m long with a cross-sectional area of 320mm2 is placed between two rigid walls. At ta temperature of -20°c, the gap A = 25mm. Find the temperature at which the compressive stress of the bar will be 35 MPa. Use a = 18x10-6 m/ (m. °C) and E = 80GPA.A steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E, the modulus of elasticity, is 2 x 106 kg/ cm², then the maximum tensile stress induced in the wire is, nearly3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m
- 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)An 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 Ox