Problem #3: Determine the shear strain yry at corners A and B if the plastic distorts as shownby the dashed line.12 mm4 mm8 mm3 mm300 mm2 mmD|A-400 mm-5mmusing =new

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Answered: Problem #3: Determine the shear strain…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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For the figure shown, if the displacement field is given by {u = axyz}, {v = bxyz} and {w=cxyz} where {a}, {b} and {c} are %3D constants. Determine the normal strain in the {x} direction if the location of point {E*} is (1.506, 1.003,1.991) F F* 2.000 m E D E C 1.500 m B/ 1.000 m Select one: O a. 0.004 b. 0.004 m c. NONE O d. 0.0024 m е. О.0024
The strain components ɛ, Ey, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°. Answer: Ep1= pe Ep2= με Ymax in-plane = prad Yabsolute max. prad Əp =
B7
If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal AC. 2 mm 3 mm 20 mm A B 20 mm Select one: O 0.1281 O 0.0607 O 0.1402 O 0.0853 O 0.0326
Two [0°, 45°, 90°] strain gauge rosettes are placed along the neutral axis of a 4-point bent beam as shown in the figure below. What will the strain reading in each of the 6 gauges be? P L/3 L/3 -45° 45 L/4 L/2 L NA h
In a forming process the diameter of the specimen is 1 cm and its length changes from 50 mm to 60 mm. Show the maximum force value on the graph of Force vs. True Strain plotted in Excel Program or any plotting program not by hand using the flow stress equation given below. σ= Kεn and σ=F/A Where the parameters are σ : True Stress in MPa K: Strength Coefficient, K=210 in MPa ε : True Strain, ε=ln (l/l0) n: Strain Hardening Exponent, n=0.27 F: Force in 10 A : Area in mm2 Take at least 3 digits after the decimal point. Specify the units. You can use Excel or any plotting program not by hand then paste your graph into the solution section.
If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal AC. D 2 mm 3 mm 20 mm A B 20 mm Select one: 0.0326 0.0607 0.0853 0.1281 0.1402
The square deforms into the position shown by the dashed lines in (Figure 1). The dimensions are S = 60 mm, S' = 65 mm, Ax₁ = 5 mm, and Ax₂ = 6 mm. Side D'B' remains horizontal. Figure 91.5° Ax₁ AX₂ < 1 of 1 Part A Determine the shear strain at A relative to the x, y axes. Express your answer in radians to three significant figures. 17 ΑΣΦ ↓↑ vec 6 (YA)zy = Submit Part B Request Answer Determine the shear strain at B relative to the x, y axes. Express your answer in radians to three significant figures. ? Review rad
5- B) What do you mean by strain? A strain gauge has a resistance of 157.4 ohms and a gauge factor of 2.7. Find the change in resistance of the gauge for a strain of 0.0017.
5. For the figure below, what are the magnitudes and directions of the following cross products? a. ₁ x ma b. = ? ₂ x ma = ? C. ₁× F ? = d. T₂ XF = ? 0.6 m T 7₂ 0.6 m ma Ē 0.8 m 0.8 m |ma|= 600 N |F|= 400 N
The strain components ɛx, ɛy, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°. Answer: Ep1 με Ep2 = Ymax in-plane prad Yabsolute max. prad %3D
Completely solve the problem. Box the final answer. Write legilby.

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Problem #3: Determine the shear strain yry at corners A and B if the plastic distorts as shown by the dashed line. y 12 mm 4 mm 8 mm 3 mm |B C 300 mm †2 mm A D 400 mm 5 mm