2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress of 7000KPa, is
Q: 4. Given a shear stress of T-35 MPa and a shear modulus of G= 75 GPa, the shear strain is most…
A: Given data Shear stress=35 mpa Shear modulus =75 gpa We have to determine shear Strain
Q: 2) Usually, yield strength determined by the stress corresponding to the intersection of the…
A: Given data:- →yield strength determined by stress corresponding to the intersection of…
Q: For the figure shown, if the temperature dropped by 40 °C in the aluminum ........ rod, then the…
A: Given:Ls=1.5 mAs=250 mm2Es=200 GPaαs=12*10-/°CLa=1 mAa=1000 mm2Ea=70 GPaαa=23*10-6/°C
Q: Show that volumetric strain in a bar is equal to the sum of strains in three mutually perpendicular…
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Q: Rod BC in Fig. Q1 is made of A-36 steel and has a diameter of 15 mm. The modulus of elasticity and…
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Q: 1.2 A steel rod of 30 mm diameter is enclosed centrally in a hollow copper tube of external diameter…
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Q: Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is…
A: (a) To find: The normal strain in bar 1. Given: The dimensions are L1=1900 mm, L2=1425 mm, a=190 mm,…
Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
A: Given that: Strain of the bar = ε = γy3E γ = specific weight = 2.1 lb/in3 L = length of the bar = 16…
Q: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 40 kN…
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Q: H.W.7 A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…
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Q: Please include a free body diagram Solve for: a) Normal strain in the x- direction −4.0 ×…
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Q: A cylindrical bar of L meters deforms by I cm. The strain in bar is 1. t 2. 일 3. 0.011 4. 뿌
A: Given, Length of the cylinder = L meters Change in length of the cylinder = Deformation = l cm =…
Q: When the state of strain is represented by the principal strains, no shear strain will act on the…
A: Forces acting perpendicular to the cross section of the body are normal forces. They can be either…
Q: A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of…
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Q: When the shear stress is applied to homogeneous isotropic material,it will only produce shear strain…
A: Consider the diagram shown below for the shear stress on an element.
Q: 3. A solid aluminum cylinder with an initial diameter of d = 10mm is under a compressive load P = 15…
A: Given data:
Q: A steel bar 250 mm long, 40 mm wide and 30 mm thick subjected to a pull of 200 kN in the direction…
A: Given data: The length of the steel bar is l=250 mm The width of the steel bar is w=40 mm The…
Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…
A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.
Q: Find the strain of a brass rod of length 250mm which is subjected to a tensile load of 50KN when the…
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Q: A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described…
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Q: The strain at failure is very small for __________ Select one: a. Aluminum b. Copper c. Mild Steel…
A: We have made an approximate stress-strain graph for your better understanding.
Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
A: Given data: γ=2.0 lb/in3y=2.8 inL=14 inE=20000 ksi Need to determine the change in length of the bar…
Q: A thin 3 m × 1 m sheet is being stretched along its length by a normal stress of 7.0 MPa. The…
A: GIVEN DATA SHEET OF DIMENSION 3m*1m E=100 GPa STRESS =7MPa POISSON'S RATIO =0.27 WE HAVE TO FIND %…
Q: A rectangular titanium plate has the following dimensions. a = 20 mm, b = 15 mm, and c=5 mm.…
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Q: H.W.7 A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…
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Q: A rectangular metal slab has dimensions 4m, 2m and 1m in the xy and z directions respectively. The…
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Q: A steel cylinder is 160 mm ID and 320 mm OD. If it is subject to an internal pressure of 150 MPa,…
A: Given data Internal diameter of steel cylinder (Di) = 160 mm internal radius (ri) = 80 mm outer…
Q: Q1: A flat plate 2m long, 1m wide and 10mm thick. If a uniform tension is applied in the…
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Q: A metal wire is 2.5 mm diameter and 2000 mm long. A force of 10 N applied to it and it extension 0.3…
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Q: H.W.8 When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the…
A: Given:- ε2=2075 μm/m a=1.2m b=2.8m To find:- (a) Elongation of segment(2) (b) Strain in segment (1)
Q: IB applied at point B of the frame seen below forcing point B to move 2.0 mm to the right. rmine the…
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Q: Q2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…
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Q: A wire of length 2.5 m has a percentage strain of 0.012% when loaded with tensile force. Determine…
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Q: A square bar subjected to a tensile load of 100kN having a gauge length of 200mm extends to a length…
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Q: Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…
A: The deflection in bar 2 is calculated as: δC=3300×10-6×1200=3.96 mm
Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
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Q: 3. Which statement is correct? (1 pt) (a) Normal stress is proportional to normal strain (b) Shear…
A: 3) option a is correct.
Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
A: Given that: strain = ε = γy3E γ = 2.3 lb/in3 y = 2.4 in L = 6 in E = 24000 ksi It is required to…
Q: 1-A round member having a diameter of 3cm experience an axial load of 10KN. Two strain gauges are…
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Q: 4. Given a shear stress of T35 MPa and a shear modulus of G-75 GPa, the shear strain is most nearly…
A: Given data : Shear modulus is denoted by G Shear stress is denoted by ζXY Required : Shear strain
Q: When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the total…
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Q: A Mild steel rod of 15mm diameter that is 1.5 cm in length is elongated by 0.15mm along its…
A: Given Data Load in x direction, P=15000N Diameter of the steel rod, D=15mm Length of the steel,…
Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
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Q: 60 min 24 mm 180 mm O1// Determine the principles strain for the point (A) of the bar which 32 mm…
A: given; axial force in x-direction(Fx)=1KN (tensile)…
Q: A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly…
A: Overall length = 200 mm Length of steel = 120 mm Diameter of steel = 10 mm Length of brass = 80 mm…
Q: 2.24 A rubber bearing pad under the steel girder above is used to produce a relatively uniform…
A: Given Data The maximum allowable strain is: εall=12%=0.12 Assume that the thickness of the rubber…
Q: A rigid steel bar ABC is supported by three rods made of steel [E=200 GPa]. There is no strain in…
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Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
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Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…
A: Given datadistance from the free y=6.3 inLength of the bar L=21 inMaterial Constant E=27000…
Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…
A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says If the…
2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress of 7000KPa, is
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- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?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?An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
- An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.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 prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
- An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
- -7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?A block B is pushed against three springs by a force P (see figure). The middle spring has a stillness K1and the outer springs each have stiffness k^. Initially, the springs are unstressed, and the middle spring is longer than the outer springs (the difference in length is denoted s). (a) Draw a force-displacement diagram with the force P as ordinate and the displacement x of the block as abscissa. (b) From the diagram, determine the strain energy U1 of the springs when x = 2s. (c) Explain why the strain energy E, is not equal to P2.Show that volumetric strain in a bar is equal to the sum of strains in three mutually perpendicular directions. 3. Explain the terms: (i) Modulus of elasticity (ii) Modulus of rigidity and (ii) Bulk modulus. 4. Derive the relationship between (i) Modulus of elasticity and modulus of rigidity (ii) Modulus of elasticity and bulk modulus