The stress in an elastic material is: A Inversely proportional to the force acting B Inversely proportional to the materials yield strength Proportional to the displacement D Inversely proportional to the strain
Q: In design analysis, allowable stress for a material should not exceed the values within the ……
A: Factor of safety is defined as the ratio of yield stress to working stress. so the yield stress…
Q: The elongation of a bar in axial loading is proportional to the following except A Stress in the bar…
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Q: Two beams, one having square cross section and another circular cross-section, are subjected to the…
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Q: A rod is subjected to an uniaxial load within linear elastic limit. When the change in the stress is…
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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 780 mm.…
A: Allowable tension bending stress = 16 MPa Allowable compression bending stress = 10 MPa
Q: The radius of Mohr's circle of stress of a strained element is 20 N/mm² and minor principal tensile…
A: Given- Radius of Mohr's circle R=20 N/mm2Minor principal tensile stress =10 N/mm2
Q: choose the correct answer
A: Wrong about elastic material
Q: The thin bar is subjected to an increase in temperature along its axis. Determine the end B of the…
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Q: "he tensile stress-strain curve of a polymer may be represented by o=a rue stress and e is the…
A: Given: from the stress strain definition we have to remember the concept concept for stress strain…
Q: The stress concentration occurs whenever there is an abrupt change in the cross-section of a…
A: Whenever we apply tensile load, due to this load member shows the deformation. this deformation is…
Q: A plate 2 m x 2 m x 20 mm is subjected to stress o, 100 MPa (tensile) and o, = 50 MPa (compressive)…
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Q: All of the statements are correct except When a body is loaded in three axes, the total deformation…
A: Statement 1 --true Statement 2 ---true STATEMENT 3 --- TRUE STATEMENT 4---false Its is the…
Q: An elastic bar of length L, uniform cross-sectional area A, coefficient of thermal expansion a , and…
A: Solution; The axial stress diagram; σ varies with ∆T and does not depends upon the length of bar.
Q: An axial force of 100 kN is applied to the assembly shown by means of rigid end plates. Determine…
A: Given: The axial force is 100 kN. The modulus of elasticity for the brass core is 105 GPa. The…
Q: The strain energy of a member is: A) directly proportional to the modulus of elasticity B inversely…
A: Strain Energy(U) in a member subjected to a load P is given by : (P2 L/ 2AE) U α 1E U α P2 U α L U…
Q: Mechanics of material Does normal Strain caused by normal force, increases or decreases the volume
A: Normal strain- It is defined as the ratio of change in length to the original length. It is a…
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 820 mm.…
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Q: (a) Tensile stress, (b) the axial linear strain,
A: Given the length of the steel bar L = 24 in diameter if the steel bar d = 0.625 in there fore…
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 700 mm.…
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Q: A fabric used in air-inflated structures is subjected to a biaxial loading that results in normal…
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Q: An element in plane stress is subjected to stresses Ox = -8400 psi, ay = 1100 psi, and txy= 1700 psi…
A: (a) Strains for an element oriented at 30° is ,…
Q: Which of the following best represents the distribution of the normal stress on the cross section of…
A: Problems details - Multiple choice questions -
Q: A quantity which represents the ratio of the lateral strain to the longitudinal strain for a…
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Q: The deformation per unit length is called C(A) Tensile stress O(B) Compressive stress OCC) Shear…
A: Strain : Strain is defined as the ratio of change in length upon original length , It is…
Q: The stress parallel to the surface of the material is called_ A Shear Stress B Normal Stress C)…
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Q: The components of plane stress at a critical point on a steel shell are shown in the figure below.…
A: σx= 70Mpaσy=-60Mpaζ = 40Mpa Syt = 250Mpa
Q: Steel Stress-Strain diagram. Which of the following statements is NOT correct? Engineering stress is…
A: GIVEN: Statements on steel stress-stress curve. TO FIND: INCORRECT OPTION
Q: The stress which acts in a direction perpendicular to the area is called. O a. Strain Stress O b.…
A: Explanation - The Normal Stress acts in a direction perpendicular to the area whereas , the Shear…
Q: The strength-to-weight ratio of a structuralmaterial is defined as its load-carrying capacitydivided…
A: Given:- RS/W =σ/γ To find:- strength to weight ratio
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 560 mm.…
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Q: Within elastic limit, stress is O(A) Inversely proportional to strain O(B) Directly proportional to…
A: Hooks law: Within elastic limit stress is directly proportional to strain . It means the deformation…
Q: Shear modulus (G) is the ratio of O a. Linear stress to lateral strain O b. Volumetric strain to…
A: Option C is correct. Shear stress to shear strain
Q: The stress-strain diagram for a bar of steel alloy is shown. Determine: a) The modulus of Elasticity…
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Q: Which of these elastic moduli describes the ratio between volumetric stress and volumetric strain?…
A: a) Young's modulus of elasticity is defined as the ratio of normal stress to normal strain. b) Shear…
Q: 1: For a material stress at proportionality limit is 400 MPa and modulus of elasticity is 200 MPa.…
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Q: cylindrical bar of L m deform axially by e mm. The strain in bar is
A: 1m = 1000 mmstrain =change in length original length
Q: An extruded polymer beam is subjected toa bending moment M. The length of the beam is L = 500 mm.…
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Q: All of the following statements are correct except: a. Materials with higher modulus of elasticity,…
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Q: The ratio of direct stress to volumetric strain in case of a body subjected to three mutually…
A: The ratio of direct stress to volumetric strain in case of body subjected to three mutually…
Q: For material, the modulus of rigidity is 100 GPa and the modulus of elasticity is 250 GPa. The value…
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Q: Modulus of rigidity may be defined as the ratio of O(A) Linear stress to lateral strain O(B) Lateral…
A: Modulus of rigidity is also known as shear modulus . It is defined as the ratio of shear stress upon…
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 800 mm.…
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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm.…
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Q: Viscosity is the proportionality factor that relates the shear stress to the shear strain.
A: Shear stress=ζViscosity=μdudy=Rate of shear strainζ=μ×dudyViscosity is the proportionality factor…
Q: Poisson's Ratio is: a. The ratio of stress to strain in the elastic region. b. The ratio of…
A: Strain is defined as the ratio of change in length upon the original length . Strain is unitless.…
Q: Bulk modulus of elasticity is the ratio of (a) Tensile stress to tensile strain (b) Compressive…
A: Bulk modulus of elasticity is the ratio of compressive stress to volumetric strain . Bulk…
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm.…
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Q: Which of the following is NOT TRUE in the elastic analysis of circular members under torsion? O…
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Q: The elongation of a bar in axial loading is proportional to the following except A Stress in the bar…
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- Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.An element in plane stress is subjected to stresses o, = -8400 psi, ay = 1100 psi, and ty = 1700 psi (see figure). The material is aluminum with %3D modulus of elasticity E =10,000 ksi and Poisson's ratio v = 0.33. Determine the following quantities: (a) the strains for an element oriented at an angle 30 degrees, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements. Ty Txy Ox1. For each state of plane stress shown below, i.e., for configurations (a) and (b), indicate whether each component of the state of strain is: = 0 (equal to zero) >0 (greater than zero) <0 (less than zero) The material is linear elastic with Possion's ratio is between (0, 0.5), and the deformations are small. T 30 e X 0 Ex Ey Ez Yxy Yyz Yzx (a) (b) 1° (b) 1x
- A bronze rod is rigidly attached between an aluminum rod and a steel rod as shown in the figure below. Axial loads are applied at the positions indicated. a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in bronze of 100 MPa, or in aluminum of 90 MPa. b) Determine the deformation of the bronze rod if the value of P is 22.50 KN. The moduli of elasticity are 200 GPa for steel, 80 GPa for bronze and 70 GPa for aluminum.For the figure shown, increasing temperature causes compressive .stress in the steel rod W Steel rod rigid bar True O False O9 The ratio of direct stress to the corresponding volumetric strain is constant within its elastic limit. The ratio is known as Volumetric strain Bulk modulus Shear modulus Modulus of elasticity Poisson's ratio
- Which of the following best represents the distribution of the normal stress on the cross section of a linearly elastic member subjected to flexural loading? A.Uniform B.Parabolic C.Cubic D.Linear How does the flexural STRAIN on a fiber vary with respect to its distance from the neutral axis within elastic loading? A.Uniformly (it remains the same) B.Linearly decreases C.Exponentially increases D.Linearly increases Which of the following expressions best approximates the flexural bending stress at the neutral axis of a flexurally-loaded member with a rectangular cross section of depth 300mm, area 0.18m^2, and internal bending moment 2kN-m? a.0 MPa b.0.22 MPa c.0.44 MPa d.0.11 MPa Which of the following expressions is the maximum flexural bending stress of an L-meter beam with a constant rectangular cross section of width b and depth h subjected to uniform load Wo? Select one: OA 3 w L² 8 Ah о в. 3w,L² Ah O C. 3 w L² 2 Ah OD. 3 w L² 4 AhThe radius of Mohr's circle of stress of a strained element is 20 N/mm² and minor principal tensile stress is 10 N/mm². What is the value of the major principle stress?The state of stress at a point is shown with respect to xy-plane. The state of stress at a point is shown with respect to x'y'-plane? 8 MPa y'v 60° S MPa +S MPa 10 MPa 8 MPa
- In a tensile test on a metal specimen having a cross section 20 mm by 10 mm elastic breakdown occurred at a load of 70 000 N. A thin plate madec from the same material is to be subjected to loading such that at a certain point in the plate the stresses are o,=-70 N/mm², 7.y= 60 N/mm² and o. Determine the maximum allowable values of o, using the Tresca and von Mises theories of elastic breakdown. Ans. 259 N/mm² (Tresca), 294 N/mm² (von Mises).A symmetrical framework consisting of three pin-connected bars is loaded by a forceP (see figure). The angle between the inclined bars and the horizontal is a = 52°. Theaxial strain in the middle bar is measured as 0.036.Determine the tensile stress in the outer bars if they are constructed of a copper alloyhaving the following stress-strain relationship:The limit of proportionality in the material of a structural steel member, when subjected to simple tension, is 280 N/mm2. The principal stresses in the member are o, = 122 N/mm2 (Tensile) and 0₂= 60 N/mm² (Compressive). μ = 0.3. According to maximum strain theory, the factor of safety is