The principal stresses at a point a stressed material are 2 01= 200 N/mm², 02= 150 N/mm2, and 02= 200 N/mm². E = 210 kN/mm² and m = 0.3 The volumetric strain will be
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Principal stress, solid mech.
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- At a point in a stressed material the stress components are: Ox= -30, Oyy = 75, 1 = 72, Tyz = 40, 0 = 110 T= 30, all are in MPa Calculate the normal, shear and resultant stresses on a plane whose normal makes an angle of 40° with the x axis and 60° with the y-axis.A steel rod with a cross sectional area of 120〖mm〗^2 is stretched between two fixed points. The tensile load at 20°C is 4200N. What will be the stress at-25°C? α=11.7x〖10〗^(-6)/°C and E = 200GPa. See figure 06Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?
- Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?For a given steel cube section subjected to three dimensional state of principal stress. 75N/mm² ŠI 150 N/mm 30 N/mm² Consider yield stress = 250 N/mm², and µ = 0.3 The value of factor of safety according to maximum strain energy theory. -X7. A steel rod of diameter 10 mm carries an axial load of 10 kN. Consider the modulus of elasticity and Poisson's ratio of 20 GPa and 0.30 respectively. Calculate: a) the normal stress in the rod. b) the lateral strain in the rod. c) the change in diameter of the rod when the load is applied
- Determine the value of load P if At = 30 °C and the stress in bronze is limited to 132 MPa. Aluminum Bronze A = 600 mm? A = 500 mm? L= 2.0 m L= 2.50 m E = 70 GPa a = 23x10/ °C E = 83 GPa a = 18.90x10/ °C |c B D A O 2.0 m 3.0 m 1.0 m2. A copper rod of diameter 12 mm is subjected to a compressive force of 8 kN. The change in diameter happens to be 4.5 x 103 mm. Determine the strain along the length of the material and the Poisson's ratio when E = 110 GPa.A steel rod with a cross sectional area of 120 [mm] ^2 is stretched between two fixed points. The tensile load at 20°C is 4200N. What will be the stress at-25°C? a=11.7x (10] ^(-6)/°C and E = 200GPA. See figure 06. * Figure 06 L Ti
- The stresses in a flat steel plate in a condition of plane stress are: o, = 10000 N/mm2 o = 6000 N/mm? = 8000 N/mm2 Find the magnitude and orientation of the principal stresses in the plane of the plate.A steel rod with a cross-sectional area of 188 mm2 is stretched between two fixed points. The tensile load at 23°C is 6,332 N. What will be the stress at -15°C ? Assume a = 11.7 x 10-6 m/(m.°C) and E = 198 GPa. Answer must be in MPa.Question 4 At a point in a thin steel plate in plane stress (0z = Txz = Tyz = 0), Ex=800µ, &y= - 400u, and xy = 200u. For the steel plate, G = 76.92 GPa and V= 0.30. %3D (a) Determine the extensional strain &z at this point. (b) Determine the stresses Ox, Oy and Txy at this point. (c) Determine the change in volume or dilatation, Ɛv, at this point.