Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 8.2, Problem 8.21P
Also, plot the normal-stress distribution over the cross section.
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Calculate non-zero stress components (normal and shear) at points A, B
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Given:
loading F
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Young's modulus E = 70 GPa, Poisson's ratio v = 0.25
15-mm D.
-100 mm
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Terss = To + AVPD
A cast iron beam is of T-section as shown in Fig. The beam is simply supported on a span of 6 m. The beam carries a uniformly distributed load of 2 kN/m length on the entire span. Determine the maximum tensile and maximum compressive stresses.
Chapter 8 Solutions
Mechanics of Materials
Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - The thin-walled cylinder can be supported in one...Ch. 8.1 - If the inner diameter of the tank is 22 in., and...Ch. 8.1 - Prob. 8.5PCh. 8.1 - 8–6. If the flow of water within the pipe in Prob....Ch. 8.1 - A boiler is constructed of 8-mm-thick steel plates...Ch. 8.1 - 88. The steel water pipe has an inner diameter of...Ch. 8.1 - The steel water pipe has an inner diameter of 12...Ch. 8.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 8.1 - Two hemispheres having an inner radius of 2 ft and...Ch. 8.1 - A pressure-vessel head is fabricated by welding...Ch. 8.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 8.1 - The ring, having the dimensions shown, is placed...Ch. 8.1 - The inner ring A has an inner radius r1 and outer...Ch. 8.1 - *8–16. A closed-ended pressure vessel is...Ch. 8.1 - In order to increase the strength of the pressure...Ch. 8.2 - Show the results on the left segment.Ch. 8.2 - Show the stress that each of these loads produce...Ch. 8.2 - Fundamental Problems F81. Determine the normal...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the magnitude of the load P that will...Ch. 8.2 - Determine the state of stress at point B. Show the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the shortest distance d to the edge of...Ch. 8.2 - 8–19. Determine the maximum and minimum normal...Ch. 8.2 - *8–20. Determine the maximum and minimum normal...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - 8–22. The clamp is made from members AB and AC,...Ch. 8.2 - 8–23. The clamp is made from members AB and AC,...Ch. 8.2 - Prob. 8.24PCh. 8.2 - 8–25. The bearing pin supports the load of 700 lb....Ch. 8.2 - Determine the maximum normal stress on the cross...Ch. 8.2 - If the wood has an allowable normal stress of...Ch. 8.2 - *8–28. The cylindrical post, having a diameter of...Ch. 8.2 - 8–29. Determine the maximum load P that can be...Ch. 8.2 - If the force of 100 N is applied to the handles,...Ch. 8.2 - 8–31. Determine the smallest distance d to the...Ch. 8.2 - *8–32. The horizontal force of P = 80 kN acts at...Ch. 8.2 - 8–33. The control lever is subjected to a...Ch. 8.2 - 8–34. The control lever is subjected to a...Ch. 8.2 - 8–35. The tubular shaft of the soil auger is...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point B on the...Ch. 8.2 - Determine the state of stress acting at point D....Ch. 8.2 - Determine the state of stress acting at point E....Ch. 8.2 - Prob. 8.40PCh. 8.2 - Prob. 8.41PCh. 8.2 - 8–42. Determine the state of stress at point A on...Ch. 8.2 - 8–43. Determine the state of stress at point B on...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Prob. 8.46PCh. 8.2 - Prob. 8.47PCh. 8.2 - Prob. 8.48PCh. 8.2 - Prob. 8.49PCh. 8.2 - The coiled spring is subjected to a force P. If we...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - Determine the smallest force P that can be applied...Ch. 8.2 - 8–53. The 1-in.-diameter rod is subjected to the...Ch. 8.2 - 8–54. The 1-in.-diameter rod is subjected to the...Ch. 8.2 - 8–55. Determine the state of stress at point A on...Ch. 8.2 - *8–56. Determine the state of stress at point B on...Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Determine the stress components at points C and D...Ch. 8.2 - 8–59. If P = 60 kN, determine the maximum normal...Ch. 8.2 - *8–60. Determine the maximum allowable force P, if...Ch. 8.2 - If the force at the ram on the clamp at D is P= 8...Ch. 8.2 - Determine the maximum ram force P that can be...Ch. 8.2 - and an outer radius of 3.00 in. If the face of the...Ch. 8.2 - for points E and F.Ch. 8.2 - 8–65. Determine the state of stress at point A on...Ch. 8.2 - 8–66. Determine the state of stress at point B on...Ch. 8.2 - 8–67. The metal link is subjected to the axial...Ch. 8.2 - *8–68. The bar has a diameter of 40 mm. If it is...Ch. 8.2 - 8–69. Solve Prob. 8-68 for point B.
Ch. 8.2 - Determine the stress components at point A. Sketch...Ch. 8.2 - for the stress components at point B.Ch. 8.2 - Determine the state of stress at point A at...Ch. 8.2 - Determine the state of stress at point B at...Ch. 8 - If it supports a cable loading of 800 lb,...Ch. 8 - Determine the state of stress at point E on the...Ch. 8 - Determine the state of stress at point F on the...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...Ch. 8 - 8–78. Solve Prob. 8–77 if the bar has a circular...Ch. 8 - The suspender arm AE has a square cross-sectional...Ch. 8 - Prob. 8.80RPCh. 8 - 8–81. The hydraulic cylinder has an inner diameter...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - 8-83. Air pressure in the cylinder is increased by...Ch. 8 - *8-84. Determine the maximum force P that can be...Ch. 8 - and is used to support the vertical reactions of...Ch. 8 - and is used to support the vertical reactions of...
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- Calculate the stresses on the given round hollow frame.arrow_forwardFor the bar in the way the loading status is seen determine the strain energy on the rod so that the shear stress on the rod is maximum 120 MPa.( Part of BC is hollow)arrow_forwardDraw Mohr's circle for the state of stress defined by 01= 80 MPa, o2 = -20 MPa and t12= 40 MPa. (1 points) %3Darrow_forward
- Determine the maximum tensile and compressive stresses in portion BC of the beam, under loading conditions of two vertical forces that applied on it. The beam has cross section as shown in figure. 100KN | 100KN 200 mm 25 mm 25 mm 150 um 25 mm 1500 mm 500 mm 500 mm 100 mmarrow_forwardPlot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?arrow_forward10 The stress components at a point are given by: Ox = Oy = 0z = 50 MPa, try = 10, tv = 20, t = 15 MPa. %3D Calculate the strain components. Take E = 200 GPa and v = 0-30. %3D %3Darrow_forward
- The book is subjected to the force of 60 lb Determine the state of stress at point A at section a-a. The cross section is circular and has a diameter of 0.5 in. Use the curved-beam formula to compute the bending stress (Figure 1) Figure 1.5 in. 13 45° B 1 of 1 > ▾ Part A Determine the normal stress. Express your answer using three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. g= Value Submit Part B ← A psi Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ✓ Correct < Return to Assignment Ċ 129 ? Determine the shear stress Express your answer using three significant figures and include the appropriate units. T= 0 psi Previous Answers Provide Feedbackarrow_forwardUsing the Maximum Strain Criterion, determine the uniaxial failure stress, Ox, for off-axis loading of the unidirectional laminar in Fig. if the material is AS/3501 graphite/epoxy and the angle 0=30 .arrow_forward69. A disc of 600 mm diameter and uniform thickness is rotating at 3000 rpm. Calculate the maximum stress developed in the disc. If a hole of 100 mm dianmeter is drilled at the centre of the disc, then determine maximum radial and hoop stresses developed. Take vs 0-28 and p = 7800 kg/m.arrow_forward
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Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license