Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A piece of 50 mm x 30 mm material experiences a homogenous deformation as shown in the figure below. The deformed shape in x-y plane is illustrated by the solid lines. If E = 3.9 GPa and the Poisson's Ratio is 0.35, what is the associated shear stress? provide your answer in MPa with precision to two decimal points. Answer: 0.014 30 0.010 y 0.009 0.012 50arrow_forwardLearning Goal: To determine the average normal strain and average shear strain in a known material based on a given load and geometry. A flat plate ABCD distorts into the dashed shape ABCD shown after a load is applied with a= 165.0 mm, b =49.0 mm. g= 6.0 mm, f=14.0 mm, and e=7.0 mm.arrow_forwardA tensile test was conducted on a specimen with a diameter of 0.5 in. A strain gage was bonded to the specimen so that the strain could be obtained directly. The following data were obtained: Load (lb) 2000 2500 3000 3500 4000 4500 5000 Strain 0.000047 0.000220 0.000500 0.000950 0.001111 0.001200 0.001702 Create a table of stress and strain values Plot these data point, and draw a best-fit straight line through them What is the slope of this line? What does this value represent?arrow_forward
- A tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.arrow_forwardThin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines in the figure.[a = 200 mm, b = 202.1 mm, c = 198.9 mm] For the deformed plate, determine the shear strain xy at corner P?in micro radarrow_forwarda. Calculate the ductility of the sample as a percentage (%) b. Calculate the stress required to create a neck in the sample, in MPa.arrow_forward
- The modulus of elasticity is measured as the secant for a stress at: a) 30% b) 45% c) 25% d) 40%arrow_forwardStress (MPa) 2000 Using the stress-strain results shown in the figure, determine the 0.2% offset yield strength and the strain at the onset of necking. Indicate both on the graph and write the value along with units in the space provided. MPa 2000 1000 1000 0.000 0.005 0.010 0.015 Strain 0 0.000 0.020 0.040 0.060 0.080 Strain 100 300 Yield Strength units: 200 Stress (10³ psi) Strain at the onset of necking: units:arrow_forwardMcqarrow_forward
- 30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)arrow_forwardIn a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below. Determine the modulus of elasticity for this material: ____x106 lb/in2. Pay attention to units and calculate your answer to 1 decimal place for the unit specified above.arrow_forwardThe state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 11 N/mm², find the minimum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm?. If the answer is negative do insert the "-" sign. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Ixy 10 N/mm2arrow_forward
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