Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 31P
The nonuniform loading causes a normal strain in the shaft that can be expressed as εx = ksin (
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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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- If a force is applied to the end B of the member and causes a normal strain in the cable of 0.0050 mm/mm, determine the displacement of point B.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_forwardThe 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. Aarrow_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 0.00317 mm>mm, determine the displacement of point B. Originally the cable is unstretched.arrow_forwardThe undeformed length of the bar is 300mm. It is subjected to a Shear Strain Defined by; y = kx (y is the symbol of shear strain). Find the magnitude of delta Y.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_forward
- A thin strip of rubber has an unstretched length of 15 in. If it is stretched around a pipe having an outer diameter of 5 in. determine the average normal strain in the strip.arrow_forwardThe 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa = 650(10-6), ϵb = -550(10-6), and ϵc =470(10‑6). Determine (a) the in-plane principal strains and (b) maximum in plane shear strain.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_forward
- 600 mm B 800 mm 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. Hint: After determining the stretched length of AB, use law of cosines to determine 0; then use to determine the arc length over which point B displaces. Answer (UNITS!!!!): Displacement of point B is:arrow_forwardIf the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ - Δs Δs′ b instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, P - P= = P P′.arrow_forwardThe rectangular plate is deformed into the shape shown by the dashed lines. If AC has a normal strain Eac=0.00118mm⁄mm, AB has a normal strain Eab=0.00154mm⁄mm and at B, Yb=−0.00346 rad, determine the average normal strain along line BC. pls inlclude diagramarrow_forward
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