Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14.4, Problem 14.51P
The A-36 steel bolt is required to absorb the energy of a 2-kg mass that falls along the 4-mm-diameter bolt shank that is 150 mm long. Determine the maximum height h of release so the stress in the bolt does not exceed 150 MPa.
Probs. 14–49/50/51
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The d = 13-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load Pis applied to the
rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 31
mm, and the head has a thickness of t= 10 mm. If the normal stress produced in the rod by load Pis 150 MPa, determine
(a) the bearing stress acting between the support plate and the rod head.
(b) the average shear stress produced in the rod head.
(c) the punching shear stress produced in the support plate by the rod head.
Support
Plate
- Hole diameter D
P
Rod
Нead
a
Calculate the cross-sectional area of the rod.
Answer: Arod = i
mm2
The composite aluminum 2014-T6 bar is made from two segments having diameters of 7.5 mm and 15 mm. Determine the maximum height h from which the 10-kg collar should be dropped so that it produces a maximum axial stress in the bar of smax = 200 MPa.
The C83400-red-brass rod AB and 2014-T6- aluminum rod BC are joined at the collar B and fixed connected at their ends. If there is no load in the members when T1 = 50°F, determine the average normal stress in each member when T2 = 120°F. Also, how far will the collar be displaced? The cross-sectional area of each member is 1.75 in2.
Chapter 14 Solutions
Mechanics of Materials (10th Edition)
Ch. 14.2 - A material is subjected to a general state of...Ch. 14.2 - The strain-energy density for plane stress must be...Ch. 14.2 - The A-36 steel bar consists of two segments, one...Ch. 14.2 - Determine the torsional strain energy in the A992...Ch. 14.2 - Using bolts of the same material and...Ch. 14.2 - If P = 60 kN, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - Determine the torsional strain energy in the A992...Ch. 14.2 - Determine the torsional strain energy in the A-36...Ch. 14.2 - The shaft assembly is fixed at C. The hollow...
Ch. 14.2 - Determine the total axial and bending strain...Ch. 14.2 - If P = 10 kip, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - Consider the thin-walled tube of Fig.5-26 . Use...Ch. 14.2 - Determine the bending strain energy in the A992...Ch. 14.2 - Determine the bending strain energy in the beam....Ch. 14.2 - Prob. 14.17PCh. 14.2 - Prob. 14.18PCh. 14.2 - Determine the bending strain energy in the 2-in...Ch. 14.2 - Determine the total strain energy in the steel...Ch. 14.2 - Determine the bending strain energy in the beam....Ch. 14.2 - The bolt has a diameter of 10 mm, and the arm AB...Ch. 14.2 - Determine the bending strain energy in the...Ch. 14.2 - Determine the bending strain energy in the simply...Ch. 14.3 - Determine the vertical displacement of joint D. AE...Ch. 14.3 - Determine the horizontal displacement of joint C....Ch. 14.3 - Determine the horizontal displacement of joint A....Ch. 14.3 - AE is constant. Prob. 1428Ch. 14.3 - Determine the vertical displacement of point C of...Ch. 14.3 - Determine the vertical displacement of end B of...Ch. 14.3 - Determine the vertical displacement of point S on...Ch. 14.3 - EI is constant. Prob. 1432Ch. 14.3 - The A992 steel bars are pin connected at C and D....Ch. 14.3 - The A992 steel bars are pin connected at C. If...Ch. 14.3 - Determine the slope of the beam at the pin support...Ch. 14.3 - The cantilevered beam has a rectangular...Ch. 14.3 - The rod has a circular cross section with a moment...Ch. 14.3 - The rod has a circular cross section with a moment...Ch. 14.3 - Determine the vertical displacement of point B on...Ch. 14.3 - Prob. 14.40PCh. 14.3 - Determine the vertical displacement of end B of...Ch. 14.4 - A bar is 4 m long and has a diameter of 30 mm....Ch. 14.4 - Determine the diameter of a red brass C83400 bar...Ch. 14.4 - Prob. 14.44PCh. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - Prob. 14.47PCh. 14.4 - Prob. 14.48PCh. 14.4 - Prob. 14.49PCh. 14.4 - Prob. 14.50PCh. 14.4 - The A-36 steel bolt is required to absorb the...Ch. 14.4 - Prob. 14.52PCh. 14.4 - The composite aluminum 2014T6 bar is made from two...Ch. 14.4 - The composite aluminum 2014-T6 bar is made from...Ch. 14.4 - When the 100-lb block is at h = 3 ft above the...Ch. 14.4 - If the bar has a diameter of 20 mm, determine the...Ch. 14.4 - The collar has a mass of 5 kg and falls dawn the...Ch. 14.4 - The tugboat has a weight of 120 000 lb and is...Ch. 14.4 - The W10 12 beam is made from A-36 steel and is...Ch. 14.4 - The weight of 175 lb is dropped from a height of 4...Ch. 14.4 - The weight of 175 lb, is dropped from a height of...Ch. 14.4 - Determine the maximum height h from which an 80-lb...Ch. 14.4 - The 80-lb weight is dropped from rest at a height...Ch. 14.4 - The 75-lb block has a downward velocity of 2 ft/s...Ch. 14.4 - The 75-lb block has a downward velocity of 2 ft/s...Ch. 14.4 - Prob. 14.66PCh. 14.4 - The overhang beam is made of 2014T6 aluminum....Ch. 14.4 - If the beam is a W1015, determine the maximum...Ch. 14.4 - If the maximum allowable bending stress for the...Ch. 14.4 - A 40-lb weight is dropped from a height of h = 2...Ch. 14.4 - The car bumper is made of...Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - Determine the horizontal displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint E....Ch. 14.6 - Determine the horizontal displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the horizontal displacement of joint B...Ch. 14.6 - Determine the vertical displacement of joint C of...Ch. 14.6 - Determine the horizontal displacement of joint C....Ch. 14.6 - Determine the vertical displacement of joint D....Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - The truss is made from A992 steel rods having a...Ch. 14.6 - Determine the horizontal displacement of joint D....Ch. 14.6 - Determine the horizontal displacement of joint E....Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - The beam is made of southern pine for which Ep =...Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - Determine the slope at point C. El is constant....Ch. 14.7 - Determine the slope at point A. El is constant....Ch. 14.7 - Determine the displacement of point C of the beam...Ch. 14.7 - Determine the slope at B of the beam made from...Ch. 14.7 - The beam is made of Douglas fir. Determine the...Ch. 14.7 - Determine the displacement at pulley B. The A992...Ch. 14.7 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 structural steel beam has a moment of...Ch. 14.7 - Determine the displacement at point C of the...Ch. 14.7 - Determine the slope at A of the shaft. El is...Ch. 14.7 - Determine the slope of end C of the overhang beam....Ch. 14.7 - Determine the displacement of point D of the...Ch. 14.7 - Determine the slope at A of the 2014T6 aluminum...Ch. 14.7 - Prob. 14.104PCh. 14.7 - Prob. 14.105PCh. 14.7 - Determine the displacement at point C of the W14 ...Ch. 14.7 - Determine the slope at A of the W14 26 beam made...Ch. 14.7 - Determine the slope at A. El is constant. Prob....Ch. 14.7 - Determine the slope at C of the overhang white...Ch. 14.7 - Determine the displacement at point D of the...Ch. 14.7 - Determine the maximum deflection of the beam...Ch. 14.7 - The beam is made of oak, for which Eo = 11 GPa....Ch. 14.7 - Determine the slope of the shaft at the bearing...Ch. 14.7 - Determine the horizontal and vertical...Ch. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - The L-shaped frame is made from two segments, each...Ch. 14.7 - The L-shaped frame is made from two segments, each...Ch. 14.7 - Determine the vertical displacement of the ring at...Ch. 14.7 - Determine the horizontal displacement at the...Ch. 14.9 - Solve Prob. 1473 using Castiglianos theorem. 1473....Ch. 14.9 - Solve Prob. 1474 using Castiglianos theorem. 1474....Ch. 14.9 - Prob. 14.125PCh. 14.9 - Prob. 14.126PCh. 14.9 - Prob. 14.127PCh. 14.9 - Solve Prob. 1478 using Castiglianos theorem. 1478....Ch. 14.9 - Solve Prob. 1481 using Castiglianos theorem. 1481....Ch. 14.9 - Solve Prob. 1482 using Castiglianos theorem. 1482....Ch. 14.9 - Solve Prob. 1485 using Castiglianos theorem. 1485....Ch. 14.9 - Solve Prob. 1486 using Castiglianos theorem. 1486....Ch. 14.10 - Solve Prob. 1490 using Castiglianos theorem. 1490....Ch. 14.10 - Solve Prob. 1491 using Castiglianos theorem. 1491....Ch. 14.10 - Prob. 14.135PCh. 14.10 - Solve Prob. 1493 using Castiglianos theorem. 1493....Ch. 14.10 - Solve Prob. 1495 using Castiglianos theorem. 1495....Ch. 14.10 - Solve Prob. 1496 using Castiglianos theorem. 1496....Ch. 14.10 - Prob. 14.139PCh. 14.10 - Prob. 14.140PCh. 14.10 - Prob. 14.141PCh. 14.10 - Solve Prob. 14119 using Castiglianos theorem....Ch. 14.10 - Prob. 14.143PCh. 14.10 - Solve Prob. 14105 using Castiglianos theorem....Ch. 14 - A = 2300 mm2, I = 9.5(106) mm4. R141Ch. 14 - If the spring at B has a stiffness k = 200 kN/m....Ch. 14 - The spring at B has a stiffness k = 200 kN/m....Ch. 14 - If they each have a diameter of 30 mm, determine...Ch. 14 - and a length of 10 in. It is struck by a hammer...Ch. 14 - Determine the total axial and bending strain...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - El is constant. Use the method of virtual work....Ch. 14 - using Castiglianos theorem. R149. The cantilevered...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The assembly consists of three disks A, B, and C that are used to support the load of 140 kN. Determine the smallest diameter d1 of the top disk, the largest diameter d2 of the opening, and the largest diameter d3 of the holein the bottom disk. The allowable bearing stress for the material is (sb)allow = 350 MPa and allowable shear stress is tallow = 125 MPa.arrow_forwardThe railcar docklight is supported by the 1/8-in.-diameter pin at A. If the lamp weighs 4.1 lb, and the extension arm AB has a weight of 0.6 lb/ft. 3 ft -1.25 in Part A Determine the average shear stress in the pin needed to support the lamp. Hint:The shear force in the pin is caused by the couple moment required for equilibrium at A. Express your answer to three significant figures and include appropriate units. Value Unitsarrow_forwardThe column is subjected to an axial force of 8 kN which is applied through the centroid of the cross-sectional area. Determine the average normal stress acting at sectiọn a-a. Show the free body diagram. 8kN 75m |0 mim 75 mm 10 mm 10 mm 70 mm 70 mm aarrow_forward
- Determine the maximum value of Pmax that can be supported by the structure.arrow_forwardThe d = 13-mm-diameter solid rod passes through a D=21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 12 mm. The rod head has a diameter of a = 28 mm, and the head has a thickness of t = 8 mm. If the normal stress produced in the rod by load P is 150 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head b Calculate the cross-sectional area of the rod. Answer: Arod mm²arrow_forwardThe assembly consists of three disks A, B, and C that are used to support the load of 140 kN. Determine the smallest diameter d₁ of the top disk, and the largest diameter d₂ of the opening, and the largest diameter d3 of the hole in the bottom disk. The allowable bearing stress for the material is (b) allow = 350 MPa and the allowable shear stress is Tallow=125 MPa. C B d₁ -| A 140 kN 20 mm 10 mm d3 d2arrow_forward
- If the structure yields at 200MPa, using the maximum distortion energy theory, determine the state of stress in points A and B and say if will failarrow_forwardThe bell-crank mechanism is in equilibrium for an applied load of F1 = 11 kN applied at A. Assume a = 250mm, b = 100mm, c = 90mm, and θ = 40°. Pin B is in a double-shear connection and has a diameter of 29 mm. The bell crank has a thickness of 31 mm. Determine the shear stress in pin B. and the the bearing stress in the bell crank at B.arrow_forwardA railway car wheel rolls on a rail. Both rail and wheel are made of steel for which E = 210 GPa and v= 0.3. The wheel has a radius of R₁ = 0.4 m, and the cross radius of the rail top surface is R₂ = 0.3 m (Fig. 13-14). Determine the size of the contact area and the maximum contact pressure if compressive load P is 90 kN. PI R ₂ RI Fig. 13.14.arrow_forward
- The d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 9 mm. If the normal stress produced in the rod by load P is 200 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head Calculate the cross-sectional area of the rod. Answer: Arodi mm²arrow_forwardThe rigid beam is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. If each bar has a cross-sectional area of 450 mm2, determine the maximum value of P if the allowable stress is (sallow)st = 200 MPa for the steel and (sallow)al = 150 MPa for the aluminum. Est = 200 GPa, Eal = 70 GPa.arrow_forwardThe 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
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