3-3. Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine approximately the modulus of toughness. The rupture stress is or 53.4 ksi.
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- A line is inscribed on a 3 mm thick steel alloy plate with an elastic modulus E = 200 GPa and shear modulus G = 70 GPa. The plate is then loaded as shown below. 2a) Determine the slope of the line after the plate has been loaded 2b) Determine the reduction in thickness of the plate (in mm) under the applied loads 2c) If the plate has a yield stress = 300 MPa, determine the factor of safety against failure according to the Maximum Normal Strain (St. Venant's) Criterion Steel Alloy Plate: y line 250 mm k Į 50 kN 70 mm ↑ 70 mm 100 KN 125 mmA copper strip (Ec= 105 GPa) and an aluminum strip (Ea = 75 GPa) are bonded together to form the composite beam shown. Knowing that the beam is bent about a horizontal axis by a couple of moment M = 32 N-m, determine the maximum stress in the aluminum strip and in the copper strip. Aluminum Copper 24 mm 6 mm 6 mm The maximum compressive stress in the aluminum strip is -51.22 MPa (include a negative sign). The maximum tensile stress in the copper strip is 60.67 MPa.The stress strain diagramfor an unknown material is shown. Determine tha strain at point Y. (Unitless) Do not round off and complete solution. Thanks.
- y 400 mm 4 mm B 200 mm A 6 mm The rectangular plate is subjected to the deformation shown by the dashed line. Determine the average shear stress in the plate if the shear modulus of the material is 2 MPa. Express your answer in kPa and round it to the nearest integer if necessary.2. A long steel pipe is subjected to a state of plane strain (ɛzz = Ezx = Ezy = 0) when the design loads are applied. At the critical point in the pipe, the non-zero stress 143.28 MPa , components are found to be oxx = 53.28 MPa , ơyy Oxy 40 MPa and o22 = 57 MPa . The material has a yield stress of = 245 MPa . Determine the factor of safety in the design based on the von Oy Mises criteria.Given: A steel rod (A = 150mm^2) is stretched between two fixed points with a tensile load of 5000N at 20degree C. determine: a) the stress at -20 degree C b) at what temperature will the stress be zero *DRAW THE FBD: COMPLETE SOLUTION *USE 3 DEC PLACES
- 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. -XSelect the types of losses are both common for post tensioning and pre tensioning. a. relaxation, creep, friction, shrinkage b. relaxation, creep, shrinkage c. Relastic deformation, friction, creep and anchorage slip d. creep, friction. elastic deformation shrinkageA steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
- ProbleT = - An aluminum bar has diameter d = 40 mm, shear modulus of elasticity G = 27 GPa, and torque T = 300 N.m. (a) Determine the maximum shear, tensile, and compressive stresses in the bar, and show these stresses on sketches of properly oriented stress elements. (b) Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements. |d=40 mm T= 300 N-mAn aluminum pipe must not stretch more than 0.05in when it issubjected to a tensile load. Knowing that E=10.1x10^6psi and that the maximum allowable normal stress is 14ksi, determine (a) the maximum allowable length of the pipe, and (b) the required area of the pipe if the tensile load is 127.5kips.PROBLEM 6/6 F = 520 kN Determine the stress in each aluminum and steel bars after 0.2 mm F = 520 kN is applied. Note that a gap of 0.2 mm exist before the external load is Steel 280 mm applied and bars has equal distance with each other. Neglect the weight at the flat form. A = 1100 mm? E = 200 Gpa Steel Aluminum A = 2500 mm2 %3D E = 70 GPa %3D