Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 2.2, Problem 2.18P
Determine the shear strain γxy at corners A and B if the plate distorts as shown by the dashed lines.
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Determine the shear strain Y., at corners A and B if the
plastic distorts as shown by the dashed lines
SOLUTION
Geometry: Referring to the geometry shown in Fie a the small.anoto ancheir mins
3 mm
300 mm
4 mm
12 mm
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Determine the shear strain gxy at corners A and B if the plastic distorts as shown by the dashed lines.
Chapter 2 Solutions
Mechanics of Materials (10th Edition)
Ch. 2.2 - A loading causes the member to deform into the...Ch. 2.2 - A loading causes the mamber to deform into the...Ch. 2.2 - A loading causes the wires to elongate into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - When force P is applied to the rigid arm ABC,...Ch. 2.2 - If the force P causes the rigid arm ABC to rotate...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The triangular plate is deformed into the shape...Ch. 2.2 - The square plate is deformed into the shape shown...
Ch. 2.2 - The square deforms into the position shown by the...Ch. 2.2 - The pin-connected rigid rods AB and BC are...Ch. 2.2 - The wire AB is unstretched when = 45. If a load...Ch. 2.2 - If a horizontal load applied to the bar AC causes...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - The nylon cord has an original length L and is...Ch. 2.2 - A thin wire, lying along the x axis, is strained...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - Determine the average normal strain that occurs...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The polysulfone block is glued at its top and...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The block is deformed into the position shown by...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The nonuniform loading causes a normal strain in...Ch. 2.2 - The rectangular plate undergoes a deformation...Ch. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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- Determine the shear strain gxy at corners D and C if the plastic distorts as shown by the dashed lines.arrow_forwardThe piece of plastic is originally rectangular. Determine the average normal strain that occurs along the diagonals AC and DB. Determine the shear strain at corners A and B if the plastic distorts as shown by the dashed lines.arrow_forward(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 mmarrow_forward
- If the plate distorts as shown by the dashed lines, determine (a) the shear strain Yy at corners C and D, and (b) the average normal strain that occurs along the diagonals ху AC and DB. y 5 mm, 2 mm 4 mm 2 mm; C 300 mm 2 mm D А 400 mm 3 mmarrow_forwardDetermine 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 Xarrow_forward9aarrow_forward
- The material distorts into the dashed position shown. Determine the average normal strains Px, Py and the shear strain gxy at A, and the average normal strain along line BE.arrow_forwardThe block is deformed into the position shown by the dashed lines with d= 107 mm Determine the average normal strain along line ABarrow_forwardanswer this ; The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross-section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are y= mm ; z= mm; The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side ( AB ) of the cross section can be calculated as Distance = mmarrow_forward
- The plate distorts as shown by the dashed lines. The dimensions are L= 410 mmmm, H= 320 mm, d1= 3 mm, d2= 5 mm, d3= 12 mm, d4= 9 mm, d5= 3 mm, and d6= 7 mm. A) Determine the shear strain γxy at corner C. B) Determine the shear strain γxy at corner D.arrow_forwardIn its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A’-B’-C’-D. The deformation is such that the normal strain in AB is: ϵAB = 0.033 and that in CB is: ϵCB=0.031. Calculate the normal strain in BD (correctly up to four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB.arrow_forwardq1 The steel block shown in is subjected to a compressive force on all directions. Determine the change in length of Z-direction if the change in length of Y- direction is (-1.3mm). E for steel =210*10° N/mm? and u=0.28). 20cm 10cm F Scm Farrow_forward
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