True strain for a steel bar which is doubled length by tension is : (a) 0.307 (b) 0.5
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: In the test on a steel bar, E = 29.57 x 10° psi and v = 0.303. Find the shear modulus, G. %3D
A: Given data: E=29.57×106 psiν=0.303 Need to determine the value of shear modulus.
Q: In uniaxial loading the poisson's ratio is 0.30 and the strain in the x- direction is 250 x 10^-6 .…
A: Poisson's ratio = - Lateral Strain / Longitudinal Strain Longitudinal strain is strain occur in…
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A: We Have To determine P
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Q: 2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress…
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Q: Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is applied, the normal strain…
A: Given that, The strain in bar 1, ε1=20 μm/m, The deflection in bar 1 is, Strain in bar 1 is given…
Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 31300 ksi] bars (1) and (2) are…
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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 steel bar is 10 mm diameter and 2 m long. It is stretched with a force of 20 kN and extends by 0.2…
A: Given: The diameter of the steel bar is, d=10 mm. The length of the steel bar is, l=2 m. The…
Q: Q2/ A metal rod of cross-sectional area 100 mm 2 curries a maximum tensile loud of 20 kN. The…
A: Suppose a normal load 'P' is applied on a rod having cross-sectional area 'A' and modulus of…
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: Bars (1) are made of steel [E = 30,000 ksi], and bar (2) is made of an aluminum alloy [E = 10,000…
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Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…
A: Calculate the strain in the wire. ε=δll Here, l is the original length of the wire, δl is the change…
Q: E, = 200.00 pE Eb = 400.00 pe E = 150.00 pe 600 The strain rosette shown was used to obtain normal…
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Q: A hollow circular column of internal diameter 20 mm and external diameter 40 mm has a total length…
A: giveninternal diameter of column d=20mmexternal diameter D=40mmtotal length L=5mE=2×105N/mm2yeild…
Q: Rigid bar ABCD is loaded and supported as shown. Steel [E = 28600 ksi] bars (1) and (2) are…
A: Given data: A1=0.67 in2A2=0.32 in2ε1=810 μ Need to determine the stresses in bars 1 and 2, vertical…
Q: A circular aluminum tube of length L = 400 mm is loaded in compression by forces P as shown in…
A: Given Data Length of circular tube is : L=400 mm Inside diameter of tube is : D=50 mm Outside…
Q: H.W. 3 The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain…
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A: The strain values are given as, ε1=121×10-6ε2=304×10-6ε3=203×10-6 The Poisson's ratio is given…
Q: The principal strains in a plane, measured experimentally at a point on the aluminum fuselage of a…
A: Write down the given value using suitable variables. Here ε1 and ε2 signify principal plane…
Q: The principal plane stresses and associated strains in a plane at a point are s1 = 36 ksi, s2 = 16…
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Q: Q1. A simple bar element is shown below. It is initially horizontal, with length L. Under some…
A: INTRODUCTION : The distortion of the body caused by the application of a load or force is known as…
Q: Find the value of strain if stress is 4 N/mm2 and elasticity is 10000 N/mm2
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Q: After a fall, a 98 kg rock climber finds himself dangling from the end of a rope that had been 17 m…
A: Given:-m=98 kgL=17 mD=9.8mm∆L=3.1cm=0.031mTo find:-a) Strainb) Stressc) Youngs modulus
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: Hence, calculate the maximum compressive strain, e, Enter your answer in micro-strain correct to two…
A: Given:- F=200kN Outer diameter=100mm Thickness=40mm To find:- Micro strain
Q: 6- If the original length of steal rod is equal to AL /2 with strain value is 3AL find the change in…
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Q: 2. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached…
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Q: Bars (1) are made of steel [E = 30,000 ksi], and bar (2) is made of an aluminum alloy [E = 10,000…
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Q: Strains measured in a, b and c directions are yardımıa=-150x10-6, ɛb=200x10-6, and ɛc=300x10-6 with…
A: Given Data ɛa =-150x10-6 ɛb =200x10-6 ɛc =300x10-6 E=200 GPa Poisson ratio ν= 0.3
Q: A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly…
A: Total length = 200 mm Length of steel rod = 120 mm Diameter of steel rod = 10 mm Length of brass rod…
Q: 5. What is most nearly the lateral strain, en of the steel specimen shown if F,= 3000 kN, E=193 GPa,…
A: Given data : Load in X direction (FX)=3000 KNModulus of elasticity (E)=193 GPaPoissons ratio…
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A: INTRODUCTION: The principal place is considered where the principal stress is acting and the…
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Q: At a particular point in a structural member a two-dimensional stress system exists where Or = 60…
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Q: Q1/ In an experimental work results on a thick cylinder of (100mm) external diameter and (50mm)…
A: External Diameter = 100 mm Internal Diameter = 50 mm E = 210 gpa v = 0.3
Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…
A: Given: Young's modulus (E)=8.5×106N/m2Original length (L)=1.5mElongation (δ)=2.5mm or 0.0025m
Q: 5 in. 8 in. A Two bars are used to support a load P. When unloaded, AB is 5 in. Iong, AC is 8 in.…
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Q: Rigid bar ABCD is loaded and supported. Steel [E=30,000 ksi] bars (1) and (2) are unstressed before…
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Q: 11.3 (A) Calculate the strain energy stored in a bar of circular cross-section, diameter 0.2 m,…
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Q: A tensile stress is to be applied along the long axis of a cylindrical steel rod that has a diameter…
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Q: A solid circular bar of steel (G = 78 GPa)transmits a torque T = 360 N ? m. The allowablestresses in…
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- A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.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 brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
- A 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.- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
- 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?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.-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) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressureA 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 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?