Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.2, Problem 2FP
Determine the state of stress at point A on the cross section at section a–a of the cantilever beam. Show the results in a differential element at the point.
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The book is subjected to the force of 60 lb Determine the state of stress
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diameter of 0.5 in. Use the curved-beam formula to compute the bending
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(Figure 1)
Figure
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13
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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
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g=
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Part B
←
A
psi
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Ċ 129 ?
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The block is subjected to the eccentric load shown. Sketch the normal-stress distribution acting over the cross section at section a–a. Neglect the weight of the block.
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A purse hook is used to hang a handbag from the edge of a table with L = 50 mm. If the cross section at a-a
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a
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C
Follow sign convention that tension is positive and compression is negative.
Normal stress at point A, σA=
MPa
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MPa
Normal stress at point C, σc =
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y position where normal stress equals zero =
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Chapter 13 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 13.1 - A spherical gas tank has an inner radius of r =...Ch. 13.1 - A pressurized spherical tank is made of...Ch. 13.1 - The thin-walled cylinder can be supported in one...Ch. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Determine the maximum force P that can be exerted...Ch. 13.1 - Prob. 7PCh. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 13.1 - The gas pipe line is supported every 20 ft by...Ch. 13.1 - Prob. 12PCh. 13.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 13.1 - The ring, having the dimensions shown, is placed...Ch. 13.1 - Prob. 15PCh. 13.1 - Prob. 16PCh. 13.1 - Prob. 17PCh. 13.2 - In each case, determine the internal loadings that...Ch. 13.2 - The internal loadings act on the section. Show the...Ch. 13.2 - Determine the normal stress at comers A and B of...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the magnitude of the load P that will...Ch. 13.2 - Prob. 5FPCh. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the shortest distance d to the edge of...Ch. 13.2 - Determine the maximum distance d to the edge of...Ch. 13.2 - The plate has a thickness of 20 mm and the force P...Ch. 13.2 - If the load has a weight of 600 lb, determine the...Ch. 13.2 - The steel bracket is used to connect the ends of...Ch. 13.2 - Prob. 23PCh. 13.2 - The column is built up by gluing the two boards...Ch. 13.2 - Prob. 25PCh. 13.2 - The screw of the clamp exerts a compressive force...Ch. 13.2 - Prob. 27PCh. 13.2 - Prob. 28PCh. 13.2 - The joint is subjected to the force system shown....Ch. 13.2 - Prob. 30PCh. 13.2 - The 12-in.-diameter holt hook is subjected to the...Ch. 13.2 - Prob. 32PCh. 13.2 - Prob. 33PCh. 13.2 - Prob. 34PCh. 13.2 - Prob. 35PCh. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The frame supports the distributed load shown....Ch. 13.2 - Prob. 39PCh. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - Determine the normal-stress developed at points A...Ch. 13.2 - Sketch the normal-stress distribution acting over...Ch. 13.2 - Prob. 46PCh. 13.2 - The solid rod is subjected to the loading shown....Ch. 13.2 - Prob. 48PCh. 13.2 - Prob. 49PCh. 13.2 - The C-frame is used in a riveting machine. If the...Ch. 13.2 - Prob. 51PCh. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13 - The post has a circular cross section of radius c....Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - Prob. 4RPCh. 13 - If the cross section of the femur at section aa...Ch. 13 - Prob. 6RPCh. 13 - Prob. 7RPCh. 13 - Prob. 8RP
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- FI3-2 Determine the state of stress at point A on the cross section at section a-a of the cantilever beam. Show the results in a differential element at the point. 400 kN Fasm- 300 mm 100 mim 100 mim Section aarrow_forwardThe hook is subjected to the force of 80 lb. Determine the state of stress at point B at section a–a. The cross section has a diameter of 0.5 in. Use the curved-beam formula to calculate the bending stress.arrow_forwardDetermine the state of stress at point A on the cross section at section a–a of the cantilever beam. Show the results in a differential element at the point.arrow_forward
- A rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. OX= Ixy = Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(3n) from the horizontal axis representing the diameter line. 1500 N -37 Mpa 64 Mpa 3.5 Mpa 7.3 Mpa 600 N 37 Mpa -7.3 Mpa 300 mm 100 N·m 800 N 100 mm Barrow_forwardcan you determine the maximum normal tensile stress developed on the cross section when the eccentric load of P=50 kN is applied?arrow_forwardThe screw of the clamp exerts a compressive force of 500 lb on the wood blocks. Determine the maximum normal stress along section a–a. The cross section is rectangular, 0.75 in. by 0.50 in.arrow_forward
- Please help, thank you. :) The masonry pier is subjected to the 800-kN load. Ifx=0.25m and y=0.5m, determine the normal stress ateach corner A, B, C, D and plot the stress distributionover the cross section. Neglect the weight of thepier. Specify if it is in tension or compression. A = 13.5 m2 Ix = 22.781 m4 Iy = 10.125 m4arrow_forwardWhat is true answerarrow_forwardQUESTION 1 Force F= 4 kN and length a = 5 m. The radius of the bar is 0.09 m. Determine %3D • the internal loading at the section shown • the state of stress at point Cand show the result on a volume elemen located at this point. A C 1 m 1 marrow_forward
- The beam has a rectangular cross section and is subjected to the loading shown. Determine the state of stress at point B. Show the results in a differential element at the point.arrow_forwardThe screw of the clamp exerts a compressive force of 500 lb on the woodblocks. Sketch the stress distribution along section a–a of the clamp. The cross section is rectangular, 0.75 in. by 0.50 in.arrow_forwardQuestion 1: A member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 98 kNm mm A= 208 mm B= 158 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are 1 AB³ 12 |(10-) m* 1 ВАЗ — 12 I, |(10) m* = For the bending about z axis, c = m Mc O pax MPа Iz For the bending about y axis, c = m Mc MPа Iy max z MPa KN=M Omax Y MPa. M KN-M MPa O max Z Omax Y MPaarrow_forward
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