engineering of materialsneed help I ReviewPart A - Compare the lateral strainsLearning Goal:To understand that loads in one direction result in strains inthe perpendicular direction and calculate strains for a givenload and geometry.Let all the rods have a modulus of elasticity E and a cross-sectional area of A. Also, let Poisson ratios be v = v and v2 = 2v. Rank the rodsbased on the lateral strain they experience under the applied loads.Four rods (labeled / through IV) with the same diameters areconnected by two rigid bars as shown in the image (Figure 1)Rank the rods from most to least lateral strain. To rank items as equivalent, overlap them.and subjected to the forces shown. Two of the rods are madeof a material with Poisson's ratio v1, and two of the rods havePoisson's ratio V2, as shown in the figure.• View Available Hint(s)ResetHelp2v2vVIIIIVIIgreatest strainleast strainFigure< 1 of 2III V2IV v, PII vP Pearson I ReviewLearning Goal:To understand that loads in one direction result in strains inthe perpendicular direction and calculate strains for a givenload and geometry.Four rods (labeled / through IV) with the same diameters areconnected by two rigid bars as shown in the image (Figure 1)and subjected to the forces shown. Two of the rods are madeof a material with Poisson's ratio v1, and two of the rods havePoisson's ratio V2, as shown in the figure.SubmitPart B - Calculate the lateral strainA new structure with a similar setup but different materials is built as shown in the image (Figure 2). This time, rods / and /l are made from glasswith E = 60 GPa and ve = 0.2. Rods III and /V are made from bronze with E = 100 GPa and v = 0.34. The applied force is P = 40 kN ,each rod has a cross-sectional area of A = 8 cm? , and the vertical connecting bars are rigid and cannot rotate. What are the lateral strains inrods Il and IlI?Express your comma separated answers to three significant figures.• View Available Hint(s)Bν ΑΣφ?vecFigure2 of 2E2, Ez =III V,SubmitPI VgIV V,II V:Provide FeedbackNext >P PearsonCopyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |

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Engineering

Mechanical Engineering

ngineering of materials need hel

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...

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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?
An clement of material subjected to plane strain (see figure) has strains of x=280106 , y=420106 , and xy=150106 . Calculate the strains for an element oriented at an angle = 35°. Show these strains on a sketch of a properly oriented element.
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.
A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is a = 52°. The axial 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 alloy having the following stress-strain relationship:
A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
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?
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- 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 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.
(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 pressure
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