stress theory and (ii) Distortion Energy theory (iii) Maximum stress theory (iv) maximum strain energy theory (v) Maximum total strain energy theory.
Q: What are the general equations of plane stress transformation?
A:
Q: Is the strain energy per unit volume, or strain energy density, is equivalent to the area under the…
A: Given data: The tension in the specimen is The area of cross-section is The length of the specimen…
Q: With a suitable example explain the difference between True stress-strain and Engineering stress-…
A: Dear student, According to the guidelines I am allowed to answer only one…
Q: What results do we get when shear stress is applied to homogeneous isotropic material?
A: Isotropic and homogeneous material: The isotropic materials are the material that shows identical…
Q: Do ductile materials fail in shear?
A: The type of materials that undergo considerable plastic deformation before fracture are known as…
Q: Effect of the strain rate and temperature on the shape and magnitude of the stress- strain curve. 5.…
A: The shape and magnitude of the stress-strain curve of a metal will depend on its composition, heat…
Q: A material has an appreciable elongation without any increase in load is
A: Answer: B. Yielding A material has an appreciable elongation without any increase in load is called…
Q: An unknown specimen with an initial diameter of 5.25 mm experiences a reduction in diameter to 4.50…
A: Engineering Stress is defined as load acting on the body per unit original cross-sectional area and…
Q: (SI Units) In a tensile test on a steel specimen, true strain = 0.11 at a stress of 245 MPa. When…
A:
Q: What is the small strain analysis in the engineering design?
A: When a body is subjected to any tensile or compressive forces then the body undergoes deformation…
Q: Explain ELASTIC STRAIN ENERGY FOR VARIOUS TYPES OF LOADING?
A: The energy stored in a body up to elastic limit under certain loading is called the elastic strain…
Q: How can the Shear stress-strain diagrams be established for a material?
A: The graphical representation of the shear stress and the shear strain in a graphical manner is known…
Q: What type of behaviour is observed from these stress-strain curves?
A: Consider the diagram shown below for the stress-strain curve. P: proportional limit Y: yield point…
Q: According to distortion energy theory, Octahedral shear stress corresponding to yielding in uniaxial…
A: Answer is 0.471 σo
Q: State and explain the theories of failures applicable to Brittle material.
A: The theory of failure applicable to brittle material is maximum principle stress theory or ranking…
Q: How can the strain-energy density be determined?
A: Strain energy is defined as the energy absorbed by any member when work done by any load deforms…
Q: How does the increase in strain rate affect the Youngs modulus, UTS and ductility of material? (At…
A: There is a great impact of strain rate, temperature, and other atmospheric conditions on the young…
Q: What are the two parts of strain-energy density?with
A: The strain energy per unit volume is known as the strain energy density also can be described as the…
Q: What are the causes of longitudinal elongation?
A: Longitudinal elongation - It is the increase in length in the longitudinal or axial direction. If…
Q: The maximum principal stress yield criterion is an appropriate choice for ductile materials but the…
A: Practical results prove that the shear strength of ductile material is 57 % of the yield strength of…
Q: Can we calculate true strain values at point M and F using ɛT = ln(1+ɛ)
A: Given data: Engineering strain at MεM=35%=0.35Engineering strain at FεF=53%=0.53 Need to determine…
Q: What must be true about the dimensions of a plate in order for plane-strain conditions to apply?
A: The plane strain is defined as the strain which occurs in the parallel direction of the given plane.…
Q: For the stress states above determine the required yield strength of the material based on the…
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Q: Which engineering applications do you think that torsion test is vital? Give three examples.
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Q: Q7_What is the difference between true strain and engineering strain? What is the relationship that…
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Q: Q/ Does when the temperature increase, does ductility and deformation increase or decrease?
A: The impact behavior of plastic materials is strongly dependent upon the temperature. At high…
Q: Define plane stress and plane strain, making clear which, if any, of the stresses are zero in each…
A: Plane stress If a plane is undergoing load and at any point, the normal stress vector is zero (the…
Q: How is Dilatation, or volumetric strain caused?
A: Dilatation or volumetric strain: The volumetric strain or dilatation is defined as the change in…
Q: Does the maximum distortion energy theory depend on the strain energy? why?
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Q: In the flow curve for pure aluminum, the strength coefficient = 175 MPa and strain-hardening…
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Q: How are Engineering stress and strain calculated?
A: Engineering stress is also known as the nominal stress, defined as the ratio of applied load to the…
Q: Q5) material given the data from a tension test ? How would you determine the strain- hardening…
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Q: 6) Chapter 3: Problem 3.7: (USCS Units) The flow curve for a certain metal has a strain-hardening…
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Q: 6) Chapter 3: Problem 3.7: (USCS Units) The flow curve for a cestain metal has a strain-hardening…
A: Given data: n=0.2k=26000 lb/in2 Need to determine the flow stress and rue strain.
Q: What is the shear modulus and how can it be obtained from a torsion test?
A: 1. Shear modulus
Q: The stress element corresponds to a point under a flat stress state, on the surface of a part made…
A: For the given stress element if yield strength (Sy) is 700 MPa To determine (a) f.o.s according…
Q: 5. Effect of the strain rate and temperature on the shape and magnitude of the stress- strain curve.…
A: 5. The increase in strain rate causes the following changes in the stress-strain curve: It causes…
Q: What is “Necking”? How does it lead to reduction in engineering stress as true stress increases
A: The necking is defined as “the large local reduction in the cross sectional area occurs in the…
Q: Describe the nature of the load and strength distributions in four practical engineering situations…
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Q: Where can the complex stress distributions arise?
A: Materials in a stressed component often have direct and shear stresses acting in two or more…
Q: Do you expect a material's stiffness to increase or decrease if there is more than one deformation…
A: The stiffness of material if different for different type of loadings causing deformation in the…
Q: What is the maximum value of KIc as per LEFM that can be determined from experiments on a 20 mm…
A: Givent=20mmσy=500MPaE=210GPaμ=0.3
Q: What is the concept of Strain?
A: According to Hooke's law within the elastic limit, stress is directly proportional to strain and the…
Q: Is the engineering stress-strain curve or the true stress-strain curve preferred for large strains?…
A: Engineering stress: It is the ratio of the applied force to the original cross-sectional area of a…
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- A shaft is subjected to an axial pull of ___ and transverse shear force of ___ The yield strength of theshaft materials is ___ and poison’s ratio 0.3. Determine the diameter of shaft using (i) Maximum Shearstress theory and (ii) Distortion Energy theory (iii) Maximum stress theory (iv) maximum strain energytheory (v) Maximum total strain energy theory. Also compare the obtained results Givin: Axial pull = 10kN Shear force = 8kN Yield strength= 100MPa Poison’s ratio = 0.3 FOS = 1.0An automotive shaft manufacturing facility wants to reduce the material cost of the shaft.Propose a shaft design to minimize the material consumption, keeping in view that themaximum shear stress occurs at the outermost edge of the shaft.A round shaft, made of cold-finished AISI 1020 steel, is subjected to a variable torque whose maximum value is 7238 cm-kg. For N 5 on the Soderberg criterion, determine the diameter if (a) the torque is reversed, (b) the torque varies from zero to a maximum, (c) the torque varies from 3141 in-lb to maximum.
- A solid shaft of diameter 30 mm is fixed at one end. It is subjected to a tensile force of 10 kN and a torque of 60 Nm. At a point on the surface of the shaft, determine the principle stresses and the maximum shear stress.A mild steel shaft of 60 mm diameter is subjected to a bending moment of 2200 Nm and a torque T. If the yield point of the steel in tension is 200 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 yieldingA steel propeller for a windmill transmits 5.7 kW at 43.4 rpm. If the allowable shear stress in the shaft must be limited to 72 MPa, determine the minimum diameter d required for a solid shaft.
- A solid shaft is subjected to a twisting moment of 350 kNm. If the angle of twist is 5° per meter of the shaft and the shear stress is not to exceed 350 MPa. Determine the suitable shaft diameter by comparing the strength design and rigidity design. Also, determine the maximum shear strain acting on the shaft. Take G =225 GPa.A line shaft rotating at 200 r.p.m. is to transmit 20 kW. The shaft may be assumed to be made of mild steel with an allowable shear stress of 42 MPa. Determine the diameter of the shaft, neglecting the bending moment on the shaftAn aluminum thin‐walled tube of hollow rectangular cross‐section, Figure 1,is subjected to a torque of magnitude, T = 15360 N.m. If the tube lengthis, L = 1 m , and the shear modulus of aluminum is, G = 28 GPa.1. Determine the total angle of twist of the one‐meter long tube.2. Determine the shear stresses on the walls of the tube cross‐section.Where does the maximum shear stress occur?
- A machine shaft supported on bearings 2 m apart is to transmit 180 KW at 200 rpm while subjected to a reversed bending load of 5000 N located at a distance of 60 cm from one bearing. Allow a shear stress of 40 MPa and a bending stress of 80 MPa, determine the shaft diameter for steady loading if km = 1.5 and ks = 1.0. note: answer must be in mmA mild steel shaft of 53 mm diameter is subjected to a bending moment of 1477158 N-mm and a torque T N-mm. If the yield point of the steel in tension is 322 Mpa, find the maximum value of this torque without causing yielding of the shaft according to maximum shear stressThe rotation or twist in degrees of a shaft, 800 mm long subjected to a torque of 80 N-m, 20 mm in diameter and shear modulus G of 80,000 MPa is: