Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 24P
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain εx′ along the x′ axis.
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Chapter 2 Solutions
Mechanics of Materials
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 - Prob. 2PCh. 2.2 - The square deforms into the position shown by the...Ch. 2.2 - Prob. 9PCh. 2.2 - Prob. 13PCh. 2.2 - Part of a control linkage for an airplane consists...
Ch. 2.2 - Prob. 16PCh. 2.2 - A thin wire, lying along the x axis, is strained...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 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 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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- The block is deformed into the position shown by the dashed lines with d= 107 mm Determine the average normal strain along line ABarrow_forwardWhen force P is applied to the rigid arm ABC, point B displaces vertically downward through a distance of 0.2 mm. Determine the normal strain in wire CD.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
- Determine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.arrow_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_forwardThe block is deformed into the position shown by the dashed lines. Determine the average normal strain along with line AB.arrow_forward
- 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 mmarrow_forwardIf a horizontal load applied to the bar AC causes point A to be displaced to the right by an amount ΔL, determine the normal strain in the wire AB. Originally, u = 45°.arrow_forwardThe wire AB is unstretched when u = 45°. If a load is applied to the bar AC, which causes u to become 47°, determine the normal strain in the wire.arrow_forward
- Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If a force is applied to the end B of the member and causes a normal strain in the cable of 0.004 mm>mm, determine the displacement of point B. Originally the cable is unstretched.arrow_forwardIf 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_forwardConsider the given loading on a pipe. A rectangular rosette (45 degree apart) is placed on a point (K) which is located on the half length of the pipe as shown below. Note that the second gage (b) is parallel to the z-axis . When the load is applied, the strain gages read εa=80 µS, εb=60 µS, εc=20 µS. The pipe have an elastic modulus of Est=201 GPa. a. Determine the in-plane principal strains and the principal strain directions for the given set of strains (Use Mohr circle)arrow_forward
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