7th Edition

ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

Concept explainers

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

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Textbook Question

Chapter 10.1, Problem 26P

Column AB carries a centric load P of magnitude 15 kips. Cables BC and BD are taut and prevent motion of point B in the xz plane. Using Euler’s formula and a factor of safety of 2.2, and neglecting the tension in the cables, determine the maximum allowable length L. Use E = 29 × 10⁶ psi.

Fig. P10.26

Chapter 10.1, Problem 26P, Column AB carries a centric load P of magnitude 15 kips. Cables BC and BD are taut and prevent

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Chapter 10.1, Problem 25P

Chapter 10.1, Problem 27P

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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. 32P Ch. 10.2 - An axial load P is applied to the 32-mm-square...Ch. 10.2 - Prob. 34P Ch. 10.2 - Prob. 35P Ch. 10.2 - Prob. 36P Ch. 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. 39P Ch. 10.2 - Prob. 40P Ch. 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. 44P Ch. 10.2 - An axial load P is applied to the W8 28...Ch. 10.2 - Prob. 46P Ch. 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. 49P Ch. 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. 52P Ch. 10.2 - Prob. 53P Ch. 10.2 - Prob. 54P Ch. 10.2 - Axial loads of magnitude P = 175 kN are applied...Ch. 10.2 - Prob. 56P Ch. 10.3 - Using allowable stress design, determine the...Ch. 10.3 - Prob. 58P Ch. 10.3 - Prob. 59P Ch. 10.3 - A column having a 3.5-m effective length is made...Ch. 10.3 - Prob. 61P Ch. 10.3 - Bar AB is free at its end A and fixed at its base...Ch. 10.3 - Prob. 63P Ch. 10.3 - Prob. 64P Ch. 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. 69P Ch. 10.3 - Prob. 70P Ch. 10.3 - Prob. 71P Ch. 10.3 - Prob. 72P Ch. 10.3 - Prob. 73P Ch. 10.3 - For a rod made of aluminum alloy 2014-T6, select...Ch. 10.3 - Prob. 75P Ch. 10.3 - Prob. 76P Ch. 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. 79P Ch. 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. 82P Ch. 10.3 - Prob. 83P Ch. 10.3 - Two 89 64-mm angles are bolted together as shown...Ch. 10.3 - Prob. 85P Ch. 10.3 - Prob. 86P Ch. 10.3 - Prob. 87P Ch. 10.3 - Prob. 88P Ch. 10.4 - An eccentric load is applied at a point 22 mm from...Ch. 10.4 - Prob. 90P Ch. 10.4 - Prob. 91P Ch. 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. 94P Ch. 10.4 - A steel compression member of 9-ft effective...Ch. 10.4 - Prob. 96P Ch. 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. 100P Ch. 10.4 - Prob. 101P Ch. 10.4 - Prob. 102P Ch. 10.4 - Prob. 103P Ch. 10.4 - Prob. 104P Ch. 10.4 - A steel tube of 80-mm outer diameter is to carry a...Ch. 10.4 - Prob. 106P Ch. 10.4 - Prob. 107P Ch. 10.4 - Prob. 108P Ch. 10.4 - Prob. 109P Ch. 10.4 - Prob. 110P Ch. 10.4 - Prob. 111P Ch. 10.4 - Prob. 112P Ch. 10.4 - Prob. 113P Ch. 10.4 - Prob. 114P Ch. 10.4 - Prob. 115P Ch. 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. 118RP Ch. 10 - Prob. 119RP Ch. 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. 123RP Ch. 10 - Prob. 124RP Ch. 10 - A rectangular column with a 4.4-m effective length...Ch. 10 - Prob. 126RP Ch. 10 - Prob. 127RP Ch. 10 - Prob. 128RP

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