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
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Chapter 10.3, Problem 86P
(a)
To determine
Find the largest centric live load.
(b)
To determine
Find the largest centric live load.
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To use deformation compatibility equations to calculate loads and deflections for statically indeterminate axially loaded columns.
As shown, two composite columns of steel and concrete are used to support a rigid platform. The columns are cylindrical, with a steel bar encased in concrete. The outer diameter of each column is dc
= 26 cm . The steel in the left column has a diameter of d1 = 13 cm . A load of P = 56 kN is applied with L1 = 1.8 m and L2 = 1.9 m . The height of the columns is h = 2.2 m . The moduli of elasticity for steel and concrete are Es = 200 GPa and Ec = 30 GPa , respectively.
5
Example 2.20
1.5 m
5 m
1.5 m
10 kN
": ;.
A concrete structure is subjected to a 10 kN
downward load. Determine the load on the
columns.
ĮskN
skN
M-5* 1-5 = 7.5*. m
1.5m
skN
7,5 kN. m
SKE110 INTRODUCTION TO STRUCTURES
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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. 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
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