1.A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are € E =0.40x10-3 and ɛ =0.3 x 10~ determine O, and o Use E = 110 GPa and v=0.35. y y. = Blank 1 MPa Answer in 1 decimal place = Blank 2 MPa Answer in 1 decimal place
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- A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.3. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are ex = 0:40 103 and €y = 0:30 103, determine Oz and oy. Use E = 110 GPa and v = 0:35.
- X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.Calculate Young's modulus for an iron crystal when tension is applied along [2 -2 1] direction. S11=7.6 (TPa)-', S12 = - 2.8 (TPa)-', S44 = 8.6 (TPa) -!A two pinned end bars AB (copper) and BC (aluminum) is subjected to a horizontal force P = 90KN applied at pin B %3D as shown in the figure, determine the horizontal displacement of pin B. Aluminum: L= 1.5m, A= 1000mm2, E= 70 GPa Copper: L= 2.0m, A= 850mm², E= 120 GPa Degree: 45° Alumaum L-15m A=1000 mm E-70 GPa >P=90 kN Copper L=2.0m Aa550 mm E=120 GPa
- 1. A bar of copper alloy is loaded in a tension machine and it is determined that ex = 940(10-6), and ox= 100 MPa, oy = 0, 0₂ = 0. Determine the modulus of elasticity, Ecu, and the dilatation, ecu, of the copper. Vcu = 0.35.Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the steel. Steel Brass Copper Est = 200 GPa Ebr = 100 GPa Ecu = 120 GPa %3D ast = 12(10-6)/°C abr = 21(10¬6)/°C acu = 17(10-)/°C %3D Acu = 515 mm² |Ast = 200 mm? Abr = 450 mm² %3D 300 mm- 200 mm 100 mm O -0.0058mm O 0.0165mm O -0.0165mm O 0.0058mm3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m
- F2. Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length 0.8 m and made out of copper. The rod is rigidly supported at one end while the other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of copper E = 117 GPa. The drawing is not at scale. a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the temperature change AT which causes the end B of the rod to touch the wall. b) What is the reaction force at end B if the temperature increases with 2AT? c) What is the temperature increase which causes the rod to buckle elastic? Assume pin joint conditions at end B. d) If the rod was rigidly supporter at both ends, what is the temperature raise needed to cause elastic buckling in the rod? B 0.8 m s = 0.5 mm Figure Q2 D = 20 mmA square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O-P'-Q'-R' as shown in figure (not to scale). Under the given deformation the edges of the plate remain straight. 10 mm y4 R'. Q' 10 mm R Q 10 mm P 20 mm The horizontal displacement of the point (0.5 m, 0.5 mm) in the plate O-P-Q-R (in mm, round off to one decimal place) is3. A steel bolt through a 25-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 79 degrees Fahrenheit. The cross-sectional area of the bolt is 0.08 sq. inch and the cross-sectional area of the tube of 0.25 sq. inch. For steel: E = 30 x 10^6 psi, coefficient of thermal expansion = 6.5 x 10^-6 per degree Fahrenheit. For aluminum: E = 10 x 10^6 psi, coefficient of thermal expansion = 13.0 x 10^-6 per degree Fahrenheit. Find the thermal deformation (in inches) of the steel bolt. (Write your answer to 6-decimal places. ) * Your answer This is a required question Find the thermal deformation (in inches) of the aluminum tube. (Write your answer to 6-decimal places.) * Your answer This is a required question Find the stress (in psi) induced in the steel bolt by the temperature change. * Your answer