Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.6, Problem 27P
To determine
Find the strain in the x-direction, y-direction, and the value of shear strain in xy plane.
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The rubber block is subjected to an elongation of 0.03 in. along the x axis, and its vertical faces are given a tilt so that u = 89.3. Determine the strains Px, Py and gxy. Take nr = 0.5.
2-11. Determine the shear strain Yxy at corners D and C if
the plastic distorts as shown by the dashed lines.
3 mm
C
300 mm
D
4 mm
-400 mm
12 mm
B
A
5 mm
8 mm
12 mm
2
2-3. The rigid beam is supported by a pin at A and wires
BD and CE. If the load P on the beam causes the end C to
be displaced 10 mm downward, determine the normal strain
developed in wires CE and BD.
D
E
4 m
3 m
+ 2 m+2 m
Prob. 2-3
Chapter 8 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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- The steel shaft has a radius of 15 mm. Determine the torque T in the shaft if the two strain gages, attached to the surface of the shaft, report strains of Px = -80(10-6) and Py = 80(10-6). Also, determine the strains acting in thex and y directions. Est = 200 GPa, nst = 0.3.arrow_forwardThe A-36 steel post is subjected to the forces shown. If the strain gages a and b at point A give readings of Pa = 300(10-6) and Pb = 175(10-6), determine the magnitudes of P1 and P2.arrow_forward7-83. The pin-connected rigid rods AB and BC are inclined at e- 30° when they are unloaded. When the force Pis applied o becomes 30.2°. Determine the average normal strain in wire AC. 600 mmarrow_forward
- The force P at D causes the rigid bar CBD to rotate by 0 = 0.5°. The flexible cable AB was unstretched before the application of the force. Determine the normal strain in the cable and the horizontal displacement of point D. A 16" D B C -0-- 12" 12" Parrow_forward*7-72. A thin strip of rubber has an unstretched length of 375 mm. If it is stretched around a pipe having an outer diameter of 125 mm, determine the average normal strain in the strip.arrow_forwardThe state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy= 150(10-6). Use Mohr's circle to solve the problem. Determine the orientations of the element at which the principal strains occur. θp1= θp2=arrow_forward
- 7-73. The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the pin B through an angle of 2°. Determine the average normal strain in each wire. The wires are unstretched when the lever is in the horizontal position. 200 mm -300 mm 200 mm 300 mm 200 mmarrow_forward*2-24. The rectangular plate is subjected to the deformation shown by the dashed lines. Determine the average normal strains along the diagonal AC and side AB. B 150 mm 3 mm - 3 mm -200 mm Probs. 2-23/24arrow_forwardThe polysulfone block is glued at its top and bottom to the rigid plates. If a tangential force, applied to the top plate, causes the material to deform so that its sides are described by the equation y = 3.56 x1>4, determine the shear strain at the corners A and B.arrow_forward
- *R7-8. The square plate is deformed into the shape shown by the dashed lines. If DC has a normal strain e,-0.004, DA has a normal strain e,-0.005 and at D, yay- 0.02 rad, determine the shear strain at point E with respect to the x' and y' axes. 600 mm- B' 600 mmarrow_forwardThe A-36 steel bar consists of two segments, one ofcircular cross section of radius r, and one of square crosssection. If the bar is subjected to the axial loading of P,determine the dimensions a of the square segment so thatthe strain energy within the square segment is the same asin the circular segment.arrow_forwardF7-26. If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.02°, determine the normal strain in wires BD and CÉ. 600 mm 400 mm 600 mm 600 mmarrow_forward
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EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY