0 MPa. Using the distortion-energy and maximum-shear-stress theories, termine the factors of safety for the following plane stress state: 7E MP.
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A: Given that, σ1 = 60 MPaσ2 = -100 MPaσ3=-10 MPa Yield strength of Material Syt = 250 MPa
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A: Given:- σx= -3 ksiσy= -12 ksiσY= 36 ksi a) τxy= 15 ksib) τxy= 18 ksic) τxy= 21 ksi
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A: Solution: Factor of safety in case of static or dead load is given as the ratio of maximum stress to…
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Q: -80 MPa and T = 60 MPa The loading on the component is increased so that stresses are increased to…
A: GIVEN:maximum normal stress=300mpamaximum shear stress=200mpa
Q: In the torsion test, can we use the relation t = 16 T/nD' to construct the (t-Y) diagram ? why ?
A: Yes we can use the above equation in order to draw shear stress - shear strain diagram.
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A: Given- Radius of shaft = R
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Q: hat is the shear strain in radian if ?= 50 °? a. 0.75 b. 0.95 c. 0.873 d. 5/18 π
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A: Given: Pt1 =20 KN, Ps = 10 KN, σy = 250 MPa , μ =0.3 diameter of shaft, d =? cross…
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- 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 propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
- 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?The stresses on the surface of a hard bronze component are shown in the figure below. The yield strength of the bronze is σY = 345 MPa.a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory?b) What is the value of the Mises equivalent stress for the given state of plane stress?c) What is the factor of safety predicted by the failure criterion of the maximum-distortion energy theory of failure? Does the component fail according to this theory?The assembly shown consists of an aluminum shell (Ea = 70 GPa, αa = 23.6 × 10−6/°C) fully bonded to a steel core (Es = 200 GPa, αs = 11.7 × 10−6/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 185°C. The stress in the aluminum is − _____ MPa.
- A mild steel shaft of 48 mm diameter is subjected to a bending moment of 1850 Nm and a torque T. If the yield point of the steel in tension is 215 MPa, find the maximum value of this torque without causing yielding of the shaft according to:1. The maximum principal stress theory;2. The maximum shear stress theory; and3. The maximum distortion strain energy theory of yieldingFor a body under three dimensional stress state, describe the procedure for obtaining the absolute maximum shearing stress at a given point.A solid cylindrical shaft made of AISI 1020 steel(quenched and tempered at 870oC) rotates at a speedthat produces a safety factor of 2.5 against the stresscausing yielding. To instrument the shaft, a small hole isdrilled in its center for electric wires. At the same timethe material is changed to AISI 1080 steel that has beenquenched and tempered at 800oC. Find the safety factoragainst yielding of the new shaft.
- A bracket is under a loading condition is shown below. It's made from a steel with the yield strength (Sy) of 420 MPa. Using either maximum shear stress theory or distortion energy theory, determine the maximum load P that can be applied before yielding happens.An ASTM cast iron has minimum ultimate strengths of 32 kpsi in tension and 95 kpsi in compression. Find the factors of safety using Coulomb Fragile Mohr (CMF) and Modified Mohr (MM) theories for the following stress state. σx = −3 kpsi, σy = −9 kpsi, τx y = −4 kpsi1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?