Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.1, Problem 21P
The uniform brass bar AB has a rectangular cross section and is supported by pins and brackets as shown. Each end of the bar can rotate freely about a horizontal axis through the pin, but rotation about a vertical axis is prevented by the brackets. (a) Determine the ratio b/d for which the factor of safety is the same about the horizontal and vertical axes. (b) Determine the factor of safety if P = 1.8 kips, L = 7 ft, d = 1.5 in., and E 5 29 × 106 psi.
Fig. P10.21
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
PROBLEM 10.21
10.21 The uniform brass bar AB has a rectangular cross section
and is supported by pins and brackets as shown. Each end
of the bar can rotate freely about a horizontal axis through
the pin, but rotation about a vertical axis is prevented by
the brackets. (a) Determine the ratio bld for which the
factor of safety is the same about the horizontal and
vertical axes. (b) Determine the factor of safety if P = 8
L = 2m, d = 38 mm, and E = 105 GPa.
B
kN,
A 1-in.-square aluminum strut is maintained in the position shown by a pin support at A and by sets of rollers at B and C that prevent rotation of the strut in the plane of the figure. Knowing that LAB= 3 ft, LBC=4 ft, and LCD=1 ft, determine the allowable load P using a factor of safety with respect to buckling of 3.2. Consider only buckling in the plane of the figure and use E=10.4 *106 psi.
Problem#3:
#3A.
The rigid bar AB, attached to two vertical
rods as shown, is horizontal before the
load P is applied. Determine the vertical
movement of P if its magnitude is 50 kN.
Aluminum
L= 3 m
A = 500 mm²
E = 70 GPa
A
3.5 m
P
B
O
Steel
L = 4 m
A = 300 mm²
E = 200 GPa
2.5 m
#3B.
A steel rod is stretched between two rigid walls and carries a tensile load of 5000 N at 20°C.
If the allowable stress is not to exceed 130 MPa at -20°C, what is the minimum diameter of
the rod? Assume a=11.7μm/(m. °C) and E=200 GPa.
C
Chapter 10 Solutions
Mechanics of Materials, 7th Edition
Ch. 10.1 - Knowing that the spring at A is of constant k and...Ch. 10.1 - Two rigid bars AC and BC are connected by a pin at...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - The steel rod BC is attached to the rigid bar AB...Ch. 10.1 - The rigid rod AB is attached to a hinge at A and...Ch. 10.1 - The rigid bar AD is attached to two springs of...Ch. 10.1 - A frame consists of four L-shaped members...Ch. 10.1 - Determine the critical load of a pin-ended steel...Ch. 10.1 - Determine the critical load of a pin-ended wooden...
Ch. 10.1 - A column of effective length L can be made by...Ch. 10.1 - A compression member of 1.5-m effective length...Ch. 10.1 - Determine the radius of the round strut so that...Ch. 10.1 - Determine (a) the critical load for the square...Ch. 10.1 - A column with the cross section shown has a...Ch. 10.1 - A column is made from half of a W360 216...Ch. 10.1 - A column of 22-ft effective length is made by...Ch. 10.1 - A single compression member of 8.2-m effective...Ch. 10.1 - Knowing that P = 5.2 kN, determine the factor of...Ch. 10.1 - Members AB and CD are 30-mm-diameter steel rods,...Ch. 10.1 - The uniform brass bar AB has a rectangular cross...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column AB carries a centric load P of magnitude 15...Ch. 10.1 - Each of the five struts shown consists of a solid...Ch. 10.1 - A rigid block of mass m can be supported in each...Ch. 10.2 - An axial load P = 15 kN is applied at point D that...Ch. 10.2 - An axial load P is applied to the 32-mm-diameter...Ch. 10.2 - The line of action of the 310-kN axial load is...Ch. 10.2 - Prob. 32PCh. 10.2 - An axial load P is applied to the 32-mm-square...Ch. 10.2 - Prob. 34PCh. 10.2 - Prob. 35PCh. 10.2 - Prob. 36PCh. 10.2 - Solve Prob. 10.36, assuming that the axial load P...Ch. 10.2 - The line of action of the axial load P is parallel...Ch. 10.2 - Prob. 39PCh. 10.2 - Prob. 40PCh. 10.2 - The steel bar AB has a 3838-in. square cross...Ch. 10.2 - For the bar of Prob. 10.41, determine the required...Ch. 10.2 - A 3.5-m-long steel tube having the cross section...Ch. 10.2 - Prob. 44PCh. 10.2 - An axial load P is applied to the W8 28...Ch. 10.2 - Prob. 46PCh. 10.2 - A 100-kN axial load P is applied to the W150 18...Ch. 10.2 - A 26-kip axial load P is applied to a W6 12...Ch. 10.2 - Prob. 49PCh. 10.2 - Axial loads of magnitude P = 84 kN are applied...Ch. 10.2 - An axial load of magnitude P = 220 kN is applied...Ch. 10.2 - Prob. 52PCh. 10.2 - Prob. 53PCh. 10.2 - Prob. 54PCh. 10.2 - Axial loads of magnitude P = 175 kN are applied...Ch. 10.2 - Prob. 56PCh. 10.3 - Using allowable stress design, determine the...Ch. 10.3 - Prob. 58PCh. 10.3 - Prob. 59PCh. 10.3 - A column having a 3.5-m effective length is made...Ch. 10.3 - Prob. 61PCh. 10.3 - Bar AB is free at its end A and fixed at its base...Ch. 10.3 - Prob. 63PCh. 10.3 - Prob. 64PCh. 10.3 - A compression member of 8.2-ft effective length is...Ch. 10.3 - A compression member of 9-m effective length is...Ch. 10.3 - A column of 6.4-m effective length is obtained by...Ch. 10.3 - A column of 21-ft effective length is obtained by...Ch. 10.3 - Prob. 69PCh. 10.3 - Prob. 70PCh. 10.3 - Prob. 71PCh. 10.3 - Prob. 72PCh. 10.3 - Prob. 73PCh. 10.3 - For a rod made of aluminum alloy 2014-T6, select...Ch. 10.3 - Prob. 75PCh. 10.3 - Prob. 76PCh. 10.3 - A column of 4.6-m effective length must carry a...Ch. 10.3 - A column of 22.5-ft effective length must carry a...Ch. 10.3 - Prob. 79PCh. 10.3 - A centric load P must be supported by the steel...Ch. 10.3 - A square steel tube having the cross section shown...Ch. 10.3 - Prob. 82PCh. 10.3 - Prob. 83PCh. 10.3 - Two 89 64-mm angles are bolted together as shown...Ch. 10.3 - Prob. 85PCh. 10.3 - Prob. 86PCh. 10.3 - Prob. 87PCh. 10.3 - Prob. 88PCh. 10.4 - An eccentric load is applied at a point 22 mm from...Ch. 10.4 - Prob. 90PCh. 10.4 - Prob. 91PCh. 10.4 - Solve Prob. 10.91 using the interaction method and...Ch. 10.4 - A column of 5.5-m effective length is made of the...Ch. 10.4 - Prob. 94PCh. 10.4 - A steel compression member of 9-ft effective...Ch. 10.4 - Prob. 96PCh. 10.4 - Two L4 3 38-in. steel angles are welded together...Ch. 10.4 - Solve Prob. 10.97 using the interaction method...Ch. 10.4 - A rectangular column is made of a grade of sawn...Ch. 10.4 - Prob. 100PCh. 10.4 - Prob. 101PCh. 10.4 - Prob. 102PCh. 10.4 - Prob. 103PCh. 10.4 - Prob. 104PCh. 10.4 - A steel tube of 80-mm outer diameter is to carry a...Ch. 10.4 - Prob. 106PCh. 10.4 - Prob. 107PCh. 10.4 - Prob. 108PCh. 10.4 - Prob. 109PCh. 10.4 - Prob. 110PCh. 10.4 - Prob. 111PCh. 10.4 - Prob. 112PCh. 10.4 - Prob. 113PCh. 10.4 - Prob. 114PCh. 10.4 - Prob. 115PCh. 10.4 - A steel column of 7.2-m effective length is to...Ch. 10 - Determine (a) the critical load for the steel...Ch. 10 - Prob. 118RPCh. 10 - Prob. 119RPCh. 10 - (a) Considering only buckling in the plane of the...Ch. 10 - Member AB consists of a single C130 3 10.4 steel...Ch. 10 - The line of action of the 75-kip axial load is...Ch. 10 - Prob. 123RPCh. 10 - Prob. 124RPCh. 10 - A rectangular column with a 4.4-m effective length...Ch. 10 - Prob. 126RPCh. 10 - Prob. 127RPCh. 10 - Prob. 128RP
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
- Q4) The rigid link is supported by a pin at A, a steel wire BC having unstretched length of 200 mm and cross-sectional area of 22.5 mm2, and a short aluminum block having an unloaded length of 50 mm and cross-sectional area of 40 mm?. If the link is subjected to the vertical load shown, determine the rotation of the link about the pin A. E=200 Gpa, E= 70 Gpa. 200 mm В + 150 mm 100 mm 150 mm 450 N D 50 mmarrow_forwardA uniformly-distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 15-mm- diameter stainless steel rods that have an elastic modulus of E= 191 GPa. Rod (3) is a 21-mm-diameter bronze rod that has an elastic modulus of E= 100 GPa. Use a = 1.6 m and L = 3.2 m. For a load magnitude of w= 32 kN/m, calculate (a) the normal stress in each rod. (b) the vertical deflection of the rigid bar at F. (1) B Answers: (a) σ₁ = i (b) VF= i D Save for Later (2) eTextbook and Media 2a W E MPa, σ₂ = i mm MPa, and σ3 = i Attempts: 0 of 5 used MPa Submit Answerarrow_forwardEach of the five struts shown consists of a solid steel rod. (a) Know-ing that strut (1) is of a 0.8-in. diameter, determine the factor of safety with respect to buckling for the loading shown. (b) Determine the diameter of each of the other struts for which the factor of safety is the same as the factor of safety obtained in part a. Use E=29 *106 psiarrow_forward
- Aluminum L= 3 m A = 500 mm² E = 70 GPa A 3.5 m P B Steel L = 4 m A = 300 mm² E = 200 GPa 2.5 m с # 3A. The rigid bar AB, attached to two vertical rods as shown, is horizontal before the load P is applied. Determine the vertical movement of P if its magnitude is 50 kN. #3B. A steel rod is stretched between two rigid walls and carries a tensile load of 5000 N at 20°C. If the allowable stress is not to exceed 130 MPa at -20°C, what is the minimum diameter of the rod? Assume a=11.7μm/(m-°C) and E=200 GPa.arrow_forwardPROBLEMS 3.1. Block A which weighs 370 lb is supported by the flexible cables B and C. Draw the free body diagram of A. 3.2. The vertical bar A weighs 250 lb. Draw the free body dia- gram of a assuming that all surfaces of contact are smooth 3.3. Bar A which weighs 50 lb is supported by a smooth pin at one end and by a flexible cable at the other end. Draw the free body diagram of the bar. A 35⁰ Prob. 3.1 1.5' 2' 1B 100 A Trob. 3.2 BI 30 175 167 Prob. 3.3arrow_forwardActivity 2.. For the A-Frame shown, determine the components of the hinge reactions at B and C. (Ans. Bv=2.67KN, BH=1.33KN, Cv=1.67KN, CH=1.33KN) 3m 8KN 6m 2m 2m 1m 1marrow_forward
- Problem 4 A bent rod is supported by the roller at B, and the smooth collar at A. Draw a FBD of rod AB. Z x 0.8 m 0.8 m 800 N 600 N B 0.4 m 0.4 m yarrow_forwardAn aluminum strut 2.50m long has a rectangular section 60mm by 30mm. A bolt through each end secures the strut so that it acts as a hinged column about an axis perpendicular to the 60 mm dimension and as a fixed ended column about an axis perpendicular to the 30mm dimension. Determine the safe central load using a factor of safety of 2.5 and E = 70 Gpa.arrow_forwardF= 150 N In the structure shown, force F is applied at point A at an angle of 0 in the direction shown. Pins at G, E, D, B, and C are all frictionless and all members are weightless. For the given values of F and 0 determine: F 0 = 40 deg A G (a) The reactions at points G and E (b) The forces applied to member GDC at points C and D (c) The forces applied to member ABC at point B 70 m 50 m E D B Note: components of forces in x and y directions are enough. 15 m YA 60 m 20m ALL WORK MUST BE SHOWN (FBDS, EQUATIONS, etc.). CORRECT ANSWERS WITHOUT CLEAR EVIDENCE OF HOW THEY WERE OBTAINED WILL BE MARKED AS ZERO.arrow_forward
- Column ABC has a uniform rectangular cross section and is braced in the xz plane at its midpoint C. (a) Determine the ratio b/d for which the factor of safety is the same with respect to buckling in the xz and yz planes. (b) Using the ratio found in part a, design the cross section of the column so that the factor of safety will be 3.0 when P= 4.4 kN, L=1 m, and E=200 GPaarrow_forwardThe lever AB shown in the figure is attached to the horizontal axis BC that passes through the bearing and is welded onto the fixed bearing at C. The constant of torsion of the spring of the axis BC is K; that is, a couple of magnitude K is required to rotate r radián to end B of the shaft. If the shaft is known not to be twisted when the lever AB is horizontal, determine the value of θ corresponding to the position of equilibrium if P = 150N, l= 325 mm and K = 13,5 Nm/rad. Solve by potential energy methodology and determine the stability of the equilibrium position.arrow_forwardThe bars ACE and BCD are supported by a pin and slot arrangement at C. ACE is supported by a pin at A, and bar BCD is fixed to the ground at B. а. Draw a FBD of the bar ACE. Determine all support reactions at A, and determine the slot reaction at C. b. Draw a FBD of bar BCD, and determine all the support reactions at B. lolb D ft M = 150 lbft Vイ = Soeb 3 ft W=20lb ft 3 ft B 4 ft 4 ftarrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License