Prob 3.The triangular plate is fixed at its base, and its apexA is given a horizontal displacement of 5 mm.Determine the shear strain, Yxy, at A.Prob 4.The triangular plate is fixed at its base, and its apexA is given a horizontal displacement of 5 mm.Determine the average normal strain & along the xaxis.Prob 5.The triangular plate is fixed at its base, and its apexA is given a horizontal displacement of 5 mm.Determine the average normal strain &x along the x'axis.x'45°800 mm45°45%800 mm5 mm

Answered: Prob 3. The triangular plate is fixed…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.3P: An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the...

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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.
(a) Determine the shear strain at corner A if the plate distorts as shown by the dashed line. (b) Determine the average normal strain that occurs along the diagonal AC and DB. 5 mm 2 mm 4 mm 2 mm IB 300 mm $2 mm D A 400 mm 3 mm
The state of strain in a plane element is ex =-200 x 10-6, Ey = 0, and yxy = 75 × 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Yxy 2 dy Yxy FExdx dx
The plate is deformed into the dashed shape shown in Fig. 2-6a. If in this deformed shape horizontal lines on the plate remain horizontal and do not change their length, determine (a) the average normal strain along the side AB, and (b) the average shear strain in the plate relative to the x and y axes.
The average normal strain and half the maximum in-planeshear strain is determined from the circle as the coordinates. True or false?
A differential element on the bracket is subjected to plane strain that has the following components: , Ex = 300 x 10-6, Ey = 200 x 10-6, Exy = -500 x 10-6. Use the strain-transformation equations and determine the normal strain Ex' in the x' direction on an element oriented at an angle of 60°. Note, a positive angle is counter clockwise.
The strain at point A on the bracket has normal components 400x10-6 and 550x106 in x and y directions, respectively and shear component -650 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit. A
Calculate the strain experienced in the x-direction in terms of micro-strain. Stating your answer to the nearest whole number. 100 kN 200 kN X=38 mm A. +83 microstrain B. no valid answer ○ C.-187 microstrain ○ D.-82 microstrain OE. -188 microstrain Y = 20 mm Z Figure Q15 200 kN Z = 80 mm 100 kN y X
QUESTION 2: The state of plane strain on the element is e, = -300(10 ), €, = 0, and Yy = 150(10-"). Determine the equivalent state of strain which represents (a) the principal strains, and (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. dy T Yay --e,dx xp-
Determine the shear strain ??? at the corners C and D if theplate distorts shown by the dashed lines. (2) Determine theaverage normal strain that occurs along the diagonals AC andBD.
Determine the average normal strain along diagonal DB, based on the original plate (blue) and the deformed shaped (dashed line): 2 mm y C 300 mm 12 mm D -400 mm A 5 mm B 3 mm 4 mm 12 mm X
The 45° strain rosette is mounted on the surface of a pressure vessel. The following readings are obtained for each gage: Pa = 475(10-6), Pb = 250(10-6), and Pc = -360(10-6). Determine the in-plane principal strains

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