Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.4, Problem 2FP
To determine
Mention the proportional limit and the ultimate stress on the stress-strain curve.
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7-4. A point on a thin plate is subjected to the two successive states of stress shown. Determine theresultant state of stress represented on the element oriented as shown on the right.
1. State of efforts in the coordinate axis marked in the problem.
2. Principal maximum and minimum forces and maximum shear force in the plane.
3. Angle at which the principal stresses meet.
4. Drawing of Mohr's circle, marking the line that corresponds to the stress state of point 1.
The state of stress at the point can also be represented in termsof the maximum in-plane shear stress.True or False?
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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- F8-11. The material for the 50-mm-long specimen has the stress-strain diagram shown. If P - 150 kN is applied and then released, determine the permanent elongation of the specimen. a (MPa) 20 mm 500 450 e (mm/mm) 0.00225 0.03arrow_forwardF3-11. The material for the 50-mm-long specimen has the stress-strain diagram shown. If P = 150 kN is applied and then released, determine the permanent elongation of the specimen. P 20 mm o (MPa) 200 P 500 450 e (mm/mm) 0.00225 0.03 F3-10/11arrow_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_forward
- F8-10. The material for the 50-mm-long specimen has the stress-strain diagram shown. If P - 100 kN, determine the elongation of the specimen. a (MPa) 20 mm 500 450 e (mm/mm) 0.00225 0.03arrow_forwardThe plastic block is subjected to an axial compressive force of 600 N. Assuming that the caps at the top and bottom distribute the load uniformly throughout the block, determine the average normal and average shear stress acting along section a–a.arrow_forwardThe frame supports the distributed load shown. Determine the state of stress acting at point D. Show the results on a differential element at this point.arrow_forward
- F7-11. Determine the average normal stress developed at points A, B, and C. The diameter of each segment is indicated in the figure. 10 mm 5 mm 5 mm B. 300 N 900 N s00 N C 200 Narrow_forwardThe 150 mm by 150 mm block of aluminum supports a compressive load of 6 kN. Determine the average normal and shear stress acting on the plane through section a–a. Show the results on a differential volume element located on the plane.arrow_forwardThe bar has a diameter of 40 mm. Determine the state of stress at point A and show the results on a differential volume element located at this point.arrow_forward
- 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.arrow_forwarddraw fbd and show solutionarrow_forwardDetermine the maximum normal stress in the bar. The diameter is 1.5cm.F1 = 7KN F2 = 6KN F3 = 2KN F1 = 9KNarrow_forward
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