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 10.2, Problem 37P
Solve Prob. 10.36, assuming that the axial load P is applied 10 mm from the geometric axis of the column.
10.36 A brass pipe having the cross section shown has an axial load P applied 5 mm from its geometric axis. Using E = 120 GPa, determine (a) the load P for which the horizontal deflection at the midpoint C is 5 mm, (b) the corresponding maximum stress in the column.
Fig. P10.36
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A steel column of 7.2-m effective length is to support an 83-kNeccentric load P at a point D, located on the x axis as shown.Using the allowable-stress method, select the wide-flange shapeof 250-mm nominal depth that should be used. Use E = 200 GPa and sy =250 MPa.
Knowing that the average normal stress in member EF of the Pratt bridge truss shown must not exceed 8.56 ksi for the given loading, determine the cross-sectional area (in sq. in) of this member that will yield the most economical and safe design if h = 14.3 ft and P = 89.28 kips.
detailed answer pls, need answer asap
A compression member of 1.5-m effective
length consists of a solid 30-mm-diameter brass
rod. In order to reduce the weight of the
member by 25%, the solid rod is replaced by a
hollow rod of the cross section shown.
15 mm
Determine (a) the percent reduction in the
critical load, (b) the value of the critical load for
the hollow rod. Use E = 200 GPa.
30 mm
30 mm
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
- A 7/8-in.-diameter rod BC is attached to the lever AB and to the fixed support at C. Lever AB has a uniform cross section 38 in. thick and 1 in. deep. For the loading shown, determine the deflection of point A. Use E=29 *106 psi and G=11.2 *106 psi.arrow_forwardKnowing that the average normal stress in member EF of the Pratt bridge truss shown must not exceed 8.36 ksi for the given loading, determine the cross-sectional area (in sq. in) of this member that will yield the most economical and safe design if h = 14.2 ft and P = 87.28 kips.arrow_forwardA column with the cross section shown has a 13.5-ft effective length. Using a factor of safety equal to 2.8, determine the allowable centric load that can be applied to the column. Use E= 29 x106 psi.arrow_forward
- A) Using the ultimate stress found earlier, determine the minimum diameter of post BD required for the post not to fail. B) Using the ultimate stress found earlier, determine the minimum diameter of post CE required for the post not to fail.arrow_forwardProblem 13.1 Two wooden members of 80mm x 120mm uniform rectangular cross section are joined by the simple glued scarf splice shown. The angle of the joint is ß = 30 degrees and the glued joint has a capacity of 410 kPa against tension stresses and 680 kPa against shear stresses. Determine the largest centric load P that can be applied. P 80 mm 120 mm Parrow_forwardShow all work and unitsarrow_forward
- An Euler column is safely to carry a compressive load of 60 kN. The cross sectional area is A=1452 mm². The radii of gyrations are rx= 14.75 mm and ry= 41.6 mm. Knowing E= 200 GPa and that the ends are simply-supported all around, determine the maximum allowable length L. Use F.S.= 1.92. P=60x10³ N Parrow_forwardDetermine (a) the critical load for the brass stut, (b) the dimension d for which the aluminum strut will have the same critical load, (c) the weight of the aluminum strut as a percent of the weight of the brass strut.arrow_forward2] The I-beam column shown below is to support a normal load of value P. The column has a cross- sectional area of 14,500 mm2. Determine the minimum required dimension a (mm) so that the bearing stress between the base plate and the concrete slab does not exceed 8000 kPa and the average normal stress in the steel column must not exceed 75000 kPa. Assume that b 42 cm. 9.arrow_forward
- Two 6-in.-wide wooden boards are to be joined by splice plates that will be fully glued on the contact surfaces. The glue to be used can safely provide a shear strength of 130 psi. Determine the smallest allowable length L that can be used for the splice plates for an applied load of P = 18 kips. Note that a gap of 0.5 in. is required between boards (1) and (2). P 6 in. (1) 0.5 in. O 27.22 in. O 21.27 in. O 32.88 in. O 29.62 in. O 23.58 in. (2)arrow_forwardA sawn lumber column with a 7.5* 5.5-in. cross section has an 18-ft effective length. Knowing that for the grade of wood used the adjusted allowable stress for compression parallel to the grain isσC= 1200 psi and that the adjusted modulus E= 470 *103 psi, determine the maximum allowable centric load for the column.arrow_forwardThe length of the 332332 -in.-diameter steel wire CD has been adjusted so that with no load applied, a gap of 116116 in. exists between the end B of the rigid beam ACB and contact point E. Knowing that E = 29 × 106 psi, determine where a 57-lb (w) block should be placed on the beam in order to cause contact between B and E. For contact, x < in.arrow_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