1. (A). A 25mm square cross-section bar of length 300mm carries an axial compressive load of 50KN. Determine the stress set up in the bar and its change of length when the load is applied. For the bar material E = 200 GN/m. 180 MN/m:0.12mml
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Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…
A: Given data, E=30000 ksi Cross sectional area=1.25 in2 Normal stress in bar=31 ksiTo…
Q: 1.1 A 25 mm square cross-section bar of length 300 mm carries an axial compressive load of 50 kN.…
A: Given data: lo=300 mP=50 kNE=200 GN/m2 Need to determine the stress and the change in length.
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Q: Example 1: 14 • A 25 mm square cross-section bar of length 300 mm carries an axial compressive load…
A: Given data, There is a Square bar, s= 25 mm L= 300 mm P= 50 kN =50000 N E= 200 GN/m2 = 200000…
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Q: Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 2850 mm2 and an…
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A: Given data A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is…
Q: 1. (A). A 25mm square cross-section bar of length 300mm carries an axial compressive load of 50kN.…
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Q: Bar (1) has a cross-sectional area of 0.75 in.². If the stress in bar (1) must be limited to 39 ksi,…
A: Correct answer: (b) 17.55 kips
Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…
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Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…
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Q: Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 3200 mm² and an…
A: To Find : The maximum load Pmax. Given : The cross section area of bar 1 is A1=3200 mm2 The cross…
Q: 1.1 (A) A 25mm square-cross-section bar of length 300 mm carries an axial compressive load of 50 kN.…
A: Since you have been posted multiple questions. So, we are solving only first question for you. If…
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Q: 6. (A). A bar ABCD consists of three sections: AB is 25 mm square and 50 mm long, BC is of 20 mm…
A: For section ABside=25 mm=0.025Area=0.0252F=20kN=20×103 NσAB=20×103 0.0252σAB=32 MN/m2
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Q: 7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200 mm long, BC is 25…
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Q: Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 2000 mm² and an…
A: Answer: The maximum load that can be supported by the structure without exceeding either allowable…
Q: 1.1 (A). A 25 mm square-cross-section bar of length 300 mm carries an axial compressive load of…
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Q: The five-bolt connection shown must support an applied load of P = 235 kN. If the average shear…
A: Given:- Applied load, P=235 kN=235000N Shear stress, τ=195 Mpa τ=195 x 106 N/m2 To find:- Minimum…
Q: Q6.A steel bar ABCD consists of three sections: AB is 20 mm diameter and 200 mm long, BC is 25 mm…
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Q: 1. (A). A 25mm square cross-section bar of length 300mm carries an axial compressive load of 50kN.…
A: Given data:- side of square cross-section, a=25mm ∴Area of cross-section, A=a2=252=625mm2 Length of…
Q: wo solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3950 mm2 and an…
A: A1=3950 mm2σ1=150 MpaA2=2900 mm2σ2=160 MPax1=2 mx2=3 my1=0.8 my2=2.8 m
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?A solid circular bar of steel (G = 78 GPa) transmits a torque T = 360 N - m. The allowable stresses in tension, compression, and shear arc 90 MPa, 70 MPa, and 40 MPa, respectively. Also, the allowable tensile strain is 220 x 10-6, Determine the minimum required diameter d of the bar, If the bar diameter d = 40 mm, what is Tmax?
- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.A plastic bar of rectangular cross section (ft = 1.5 in. and h = 3 in.) fits snugly between rigid supporls at room temperature (68oF) but with no initial stress (see Figure). When the temperature of the bar is raised to 160oF, the compressive stress on an inclined plane pq at mid-span becomes 1700 psi. (a) What is the shear stress on plane pq? (Assume a = 60 × 10-6/*t and E = 450 × 103psi.) (b) Draw a stress element oriented to plane pq and show the stresses acting on all laces of this element. (c) If the allowable normal stress is 3400 psi and the allowable shear stress is 1650 psi. what is the maximum load P (in the positive x direction), which can be added at the quarter point (in addition to thermal effects given) without exceeding allowable stress values in the bar?Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.
- (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressureSolve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the fiaure. The outer diameters of the tubes are dAB= 41 mm and dBC= 28 mm. The wall thickness are tAB= 6.5 mm and tBC= 7.5 mm. The yield stress in tension for the steel is sy = 200 MPa and the ultimate stress in tension is ??U:= 340 MPa. The corresponding yield and ultimate values in shear for the pm are 80 MPa and 140 MPa, respectively. Finally, the yield and ultimate values in bearing R between the pins and the tubes are 260 MPa, and 450 MPa, respectively. Assume that the factors safety with respect to yield stress and ultimate stress are 3.5 and 4.5. respectively. (a) Calculate the allowable tensile force P allowconsidering tension in the tube (b) Recompute P allowfor shear in the pins.(c)Finaly, recomputed Pallowfor bearing between the pm and the tubes. Which is the tubes. Which is the controlling value value of P?
- Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?• - 3 A rectangular plate in biaxial stress (see figure) is subjected to normal stresses u = 67 MPa (tension) and s = -23 MPa (compression). The plate has dimensions 400 X 550 X 20 mm and is made of steel with E = 200 GPa and v = 0.30. (a) Determine the maximum in-plane shear strain ?max in the plate. (b) Determine the change ?t in the thickness of the plate. (c) Determine the change ?t in the volume of the plate.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.