Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 9.2, Problem 4PP
The rod is subjected to an external axial force of 800 N and a uniform distributed load of 100 N/m along its length. Determine the internal normal force in the rod as a function of x.
Prob. P9-4
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explain how to find the resultant internal
loading acting on the cross section at point A. Draw all
necessary free-body diagrams, and indicate the relevant
equations of equilibrium. Do not calculate values The lettered
dimensions, angles, and loads are assumed to be known.
P7-1.
The rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of
P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly
plastic material.
Detailed solution
explain how to find the resultant internal
loading acting on the cross section at point A. Draw all
necessary free-body diagrams and indicate the relevant
equations of equilibrium. Do not calculate values The lettered
dimensions, angles, and loads are assumed to be known.
P7-1.
м
в
-a/2--/2-
Chapter 9 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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- explain how to find the resultant internal loading acting on the cross section at point A. Draw all necessary free-body diagrams, and indicate the relevant equations of equilibrium. Do not calculate values The lettered dimensions, angles, and loads are assumed to be known. P7-1. вarrow_forward9-15. The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN. determine the change in its length and its new cross-sectional dimensions at section aa. E-200 GPa,-029. 50 AN SOLN -20 mm mm s50 mm 50 mm 50 kN 200 mmarrow_forwardThe beam of negligible weight is supported horizontally by two springs. If the beam is horizontal and the springs are unstretched when the load is removed, determine the angle of tilt of the beam when the load is applied. Give your answer in degrees and to 3 significant digits. B k₁= 1 kN/m wwww 3 m 600 N/m 3 m kB = 1.5 kN/m Darrow_forward
- The rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material. Complete solution if possible.arrow_forwardThe object (W = 1000 lb) is moving between positions G and H back and forth repeatedly. The bar AD is made of steel with assumed property Sy = 80 ksi, Sn= 20 ksi. Determine the required diameter of the bar based on Soderberg criterion and N = 2. 3 ft l' -2 ft 3 ft- DGB 4 ft W 444 Harrow_forwardThe rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material.arrow_forward
- "9-8. The truss is made of three A-36 steel members. each having a cross-sectional area of 400 mm. Determine the magnitude P required to displace the roller to the right 0.2 mm. 5kN -05m -0.6marrow_forwardThe assembly consists of a steel rod CB and an aluminum rod BA, each having a diameter of 15 mm. The rod is subjected to the axial loadings at A and at the coupling B. If after applying the load coupling B displaced 1.1 mm to the right, determine the change in the dimension of the cross section of steel rod CB. The unstretched length of each segment is shown in the figure. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa Vst = 0.32 %3D В A 20 kN 7 kN 3 m - 2 m·arrow_forwardA bar having a length of 125 mm and cross-sectional area of 437.5 mm2 is subjected to an axial force of 40 kN. If 3-13. the bar stretches 0.05 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. 40 kN 40 kN -125 mm Prob. 3–13arrow_forward
- The horizontal shaft with a diameter of d-41 mm is supported by a thrust collar that rests on a 31-mm-thick plate. The thrust collar is 24-mm thick. The thrust collar has an outer diameter of Dcollar - 64 mm. Determine the load P that causes an average shear stress of 89 MPa on the cylindrical surface of contact between the shaft and the thrust collar Thrust collar area P Thrust collar Plate d Dcollararrow_forwardF8-14. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P- 50 kN. The elongation of the rod is 8 - 1.40 mm, and its diameter becomes d' - 19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield. P= 50 kN 600 mm 20 mm P= 50 kNarrow_forward8. If the allowable shear stress for each of the 10-mm-diameter steel pins at A, B, and C is Ellow = 90 MPa, and the allowable normal stress for the 13-mm-diameter rod is Glow = 150 MPa, determine the largest intensity w of the uniform distributed load that can be suspended from the beam. 1.2 m B 0.9 g Probs. 1-87/88arrow_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