The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield
Q: Calculate the stress developed in a steel rod that is 25 mm in diameter when a 70kNaxial tensile…
A: Diameter of rod=d= 25 mm Cross- sectional area= A= (π/4)×d2 = (π/4)×252= 490.873 mm2 Axial load=P=…
Q: A mild steel specimen of circular cross- section of length 34.53 mm is subjected to a maximum…
A: Given data as per question length of specimen =34.53 mmMaximum tensile force =42.05 kNUltimate…
Q: A 12 mm thick steel tire has a width of 110 mm has an internal diameter of 800 mm. Tire is heated…
A: Answer: (a) The tensile stress in the tire is 125 MPa. (b) The compressive pressure between the tire…
Q: Find the Brinell hardness number of the material
A: To Find Brinell hardness number of the material
Q: A 100in. diameter cylinder (closed ends) made of a material having an allowable yield strength in…
A: The given data are: d=100 inτ=10000 psiP=300 psi Here, d, τ, and P represent the diameter, allowable…
Q: Three equidistant vertical rods, each of 20 mm diameter, support a load of 25 kN in the same plane…
A: Given details:Es=205GPaEc=100GPadiameter of rod = 20mm
Q: A 20 in. long work piece with a cross sectional area of 2 in? (see the accompanying figure) is…
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Q: Calculate the reliability if information about both the strength data (170 ± 20 MPa) and stress data…
A: Given: The standard deviation based on strength data = 2x20 = 40 MPa The standard deviation based on…
Q: A solid round bar of diameter 250mm has a tensile force of 0.2kN acting on it. What is the stress…
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Q: 450-mm-long AISI 1020 steel rod is subjected to a tensile load of 55 kN. The allowable tensile…
A: Given Length = 450 mm Tensile load = 55 kN = 55 X 103 N Allowable tensile stress = 140 MPa = 140…
Q: Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and…
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Q: 2. Using maximum shear stress theory (MSS) the factor of safety for ductile material with Sy=220…
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Q: A wooden bar is subjected to a tensile stress of 5 MPa. What will be the values of normal and shear…
A: Given data: The tensile stress in wooden bar is σ = 5 MPa. The angle between the section and the…
Q: A 1.2 m pulley is fastened to a 5 in shaft by means of a square key with 140 mm long. What force…
A: Given Data The diameter of the pulley is: D=1.2 m the diameter of the shaft is: d=5 in=127 mm The…
Q: The data shown in the accompanying table are From a tensile test of high-strength steel. The test…
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Q: A 0.5-m-long rod of annealed 410 stainless steel was loaded to failure in tension. The rod…
A: Before necking, the maximum stress and total elongation at failure is taken from the table of…
Q: Yielding starts in a material when the princip stresses are 100 MPa, 100 MPa and 200 MPa. F per the…
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Q: A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80…
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Q: Calculate the stress developed in a steel bar that is 50 mm by 25 mm when a 70kNaxial tensile load…
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Q: Calculate the tensile stress when applied force of 100OON on specimen of diameter * of 10mm 271 O…
A: Option d:127 is the correct answer. Area of the specimen=πd24=3.141024=78.5 mm2
Q: The force required to punch a 25 mm hole in mild steel plate 10 mm thick, when ultimate shear stress…
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Q: At a point in a material under stress, the intensity of the resultant stress on a certain plane is…
A: Draw the Mohr circle indicating the resultant stress on the plane. Write the expression for the…
Q: A material is subjected to plane stress. Express the maximum shear stress theory of failure in terms…
A: The expression of principal stresses is given as, σ1,σ2=σx+σy2±σx+σy22+τxy2 Taking the difference of…
Q: Hexagonal nuts for 6.25mm diameter bolts have a height of 5.5mm. If the ultimate strength of the nut…
A: Write the given values along with suitable variables.
Q: A 6 mm thick plate is to be punched of a shape shown in figure. Determine the minimum punching force…
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Q: A tool steel cylindrical specimen, 6 in. long and 0.25 in. in diameter, is kept rotating like a…
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Q: A closed cylindrical vessel contains a fluid pressure of P (Mpa). The cylinder has an inside…
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Q: A thin cylinder of 100 mm internal diameter and 5 mm thickness is subjected to an internal pressure…
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Q: Find the principal normal stresses and their directions that will occur in case of stress in the…
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Q: mm thickness is compressed between two flat dies, and μ = 0.1 determine sticking radius and load on…
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Q: Taking the safety factor as 2 for the loading condition shown in the figure, we can calculate the…
A: Given: d=100mm Syt = 250 MN / m2 Sys = 140 MN / m2 E = 200 GPa μ=0.3 N = 2
Q: Yielding starts in a material when the principal stresses are 100 MPa, 100 MPa and 200 MPa. As per…
A: Givenσ1=100MPaσ2=100MPaσ3=200MPa
Q: The state of stress at a point in a steel bar is represented in the stress element seen below. The…
A: Given- σy=260 MPaFOS=2
Q: A hollow 3 m long steel shaft that will provide the main engine drive transmission for a ship to be…
A: Given data: Length of hollow steel shaft, L=3 m=3000 mm. Torque requirement is, T=25 kN.m=25×106…
Q: In a sheet metal of 2 mm thickness, a hole of 10 mm diame- ter needs to be punched. The yield…
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Q: A shaft 450 mm diameter supports a 15000 kg steel propeller of the ship. The propeller shaft can be…
A: GIVEN: 450 mm =diameter mass=15000 kg 2 m =length N=100 rpm speed of the ship = 17.2 Knots…
Q: A punch for making holes in steel plates assumes that having a diameter of 0.75 in. is used to punch…
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Q: Calculate the design stress when a material has an ultimate strength of 120 psi with a factor of…
A: Answer: The design stress is 165.5 kPa.
Q: For a steel beam loading, the maximum normal compressive stress is - 6 MPa, maximum normal tensile…
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Q: shown in Fig. P2.4-3. (a) Plot a curve of engineering stress, o, versus engineering strain, e, using…
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Q: Steel strip has to be formed as shown in Figure Q3, with a bend of inside radius of 400 mm and bend…
A: Given: Inside Radius of the bend is 400 mm. Bend angle is 30 deg. Calculation: (i) When a strip is…
Q: 3- Why is stress not directly measurable? 4- Is there any deviation between experimental and…
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Q: A steel bolt and sleeve assembly are shown in the figure. The nut is tightened up on the tube…
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Q: In the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed…
A: Solution: Given Data: Sy=500 MPa
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- Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
- The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
- The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle Bv-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
- The state of stress on an element along the hydraulic lift cylinder on a truck is trv= — 5 MPaLFind the maximum shear stress on the clement and show the state of stress on a sketch of a properly oriented clement.A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.Assume that the normal strains x and y , for an clement in plane stress (see figure) are measured with strain gages. (a) Obtain a formula for the normal strain x in the : direction in terms x , y and Poisson’s ratio v. (b) Obtain a formula for the dilatation L’ in terms of x , y and Poisson’s ratio v.