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 2.19P
Determine the shear strain γxy at corners D and C 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
B
mm
8 mm
mm
The 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.
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_forwardDetermine the shear strain gxy at corners A and B if the plastic distorts as shown by the dashed lines.arrow_forwardProblem #3: Determine the shear strain yry at corners A and B if the plastic distorts as shown by the dashed line. 12 mm 4 mm 8 mm 3 mm 300 mm 2 mm D |A -400 mm- 5 mm using = newarrow_forward
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- answer 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_forwardThe block is deformed into the position shown by the dashed lines with d= 107 mm Determine the average normal strain along line ABarrow_forwardTwo fully loaded tractor trailers travel over the bridge putting substantial loading on the structure. As they pass over the middle of the bridge, one of the vertical supporting pillars, which is fixed at its bottom, deforms as shown below. The weight of the trucks causes point T to move to point T'—a distance of 2.5 cm along the x-axis. If the pillar has an original height of 27 m , find the shear strain at point T.arrow_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_forwardThe 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 non-homogeneous equation y” – 2y’ = t + dt, then determine this solutionarrow_forward
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