Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 8.3FP
Determine the state of stress at point A on the cross section of the beam at section a–a. Show the results in a differential element at the point.
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FI3-2 Determine the state of stress at point A on the
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400 kN
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300 mm
100 mim
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Section a
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.
Chapter 8 Solutions
Mechanics of Materials (10th Edition)
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 - Air pressure in the cylinder is increased by...Ch. 8.1 - Determine the maximum force P that can be exerted...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 - The gas pipe line is supported every 20 ft by...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 - Two hemispheres having an inner radius of 2 ft and...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 - The plate has a thickness of 20 mm and P acts...Ch. 8.2 - Plot the distribution of normal stress acting...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - If the allowable normal stress for the steel is...Ch. 8.2 - If the applied force P = 1.50 kip, determine the...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 - Determine the maximum normal stress along section...Ch. 8.2 - Sketch the stress distribution along section aa of...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...Ch. 8.2 - If the force of 100 N is applied to the handles,...Ch. 8.2 - Determine the stress components at point A on the...Ch. 8.2 - Determine the stress components at point B on the...Ch. 8.2 - Determine the normal stress developed at points A...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...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 - If it is subjected to the force system shown,...Ch. 8.2 - Solve Prob.840 for point B.Ch. 8.2 - Determine the stress components acting on the...Ch. 8.2 - Determine the stress components acting on the...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - He is supported uniformly by two bars, each having...Ch. 8.2 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...Ch. 8.2 - Determine the state of stress at point C, and show...Ch. 8.2 - Determine the maximum radius e at which the load P...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 - The coiled spring is subjected to a force P. If we...Ch. 8.2 - The pins at C and D are at the same location as...Ch. 8.2 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...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 - Determine the stress components in the support...Ch. 8.2 - Determine the stress components in the support...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 - Determine the stress components at points A and B...Ch. 8.2 - Solve Prob.8-65 for points C and D.Ch. 8.2 - Due to internal gearing, this causes the block to...Ch. 8.2 - Determine the state of stress at point A and show...Ch. 8.2 - Solve Prob.868 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 - The suspender arm AE has a square cross-sectional...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...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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- 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.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_forwardX 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 has a diameter of d = 3 mm and the hook is supporting a purse with a mass of 3 kg, determine the normal stress profile. For what value of y (using the coordinates pictured for section a-a) with the normal stress be zero. If it is never zero enter "nde" for "not defined". N -L→ a. a AB C Follow sign convention that tension is positive and compression is negative. Normal stress at point A, σA= MPa Normal stress at point B, σB = MPa Normal stress at point C, σc = MPa y position where normal stress equals zero = mm Section a-a darrow_forward
- The beveled gear is subjected to the loads shown.Determine the stress components acting on the shaftat point B, and draw the results on a stress elementat this point. The shaft has a diameter of 1 in. and isfixed to the wall at C. A = 0.7854 in2 J = 0.098175 in4 I = 0.049087 in4 (QB)z = 0 (QB)x = 0.0833 in3arrow_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_forwardDo it clearlyarrow_forward
- ) If the load has a weight of 600 lb, determine the maximum normal stress developed on the cross section of the supporting member at section a-a. Also, plot the normal stress distribution over the cross section. -1.5 ft- 1 in. 4 Section a-aarrow_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_forwardThe beam is subjected to the load at its end. Determine the maximum principal stress at point B.arrow_forward
- Take the section AB, construct the FBD and label the internal loadings, determine the normal stress and shear stress at point A. Draw stress element to represent the state of stress at point A. 30 kN -75 mm 60 kN 150 mm B.arrow_forwardThe elbow of the pipe has an outer radius of 0.75 in. and an inner radius of 0.63 in. If the assembly is subjected to the moments of M = 25 lb # in., determine the maximum stress at section a–a.arrow_forwardA 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_forward
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