Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.4, Problem 52P
To determine
Find the maximum allowable eccentric load P on the column for buckling and yielding not to take place.
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The aluminum rod is fixed at its base and free at its top. If the eccentric load P = 200 kN is applied, determine the greatest allowable length L of the rod so that it does not buckle or yield. Eal = 72 GPa, sY = 410 MPa.
Assume that the wood column is pinned top and bottom for movement about the x-y axis, and ixed at the bottom and free at the top for movement about the y-y axis. Determine the maximum eccentric load P that canbe applied without causing the column to buckle or yield. Ew = 1.8(103) ksi, sY = 8 ksi.
The brass rod is ixed at one end and free at the other end. If the length of the rod is L = 2 m, determine the greatest allowable load P that can be applied so that the rod does not buckle or yield. Also, determine the largest sidesway delection of the rod due to the loading. Ebr = 101 GPa, sY = 69 MPa.
Chapter 17 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 17.3 - A 50-in.-long steel rod has a diameter of 1 in....Ch. 17.3 - A 12-ft wooden rectangular column has the...Ch. 17.3 - Prob. 3FPCh. 17.3 - A steel pipe is fixed supported at its ends. If it...Ch. 17.3 - Determine the maximum force P that can be...Ch. 17.3 - The A992 steel rod BC has a diameter of 50 mm and...Ch. 17.3 - Determine the critical buckling load for the...Ch. 17.3 - Prob. 2PCh. 17.3 - The aircraft link is made from an A992 steel rod....Ch. 17.3 - Rigid bars AB and BC are pin connected at B. If...
Ch. 17.3 - A 2014-T6 aluminum alloy column has a length of 6...Ch. 17.3 - Prob. 6PCh. 17.3 - Prob. 7PCh. 17.3 - Prob. 8PCh. 17.3 - A steel column has a length of 9 m and is fixed at...Ch. 17.3 - A steel column has a length of 9 m and is pinned...Ch. 17.3 - The A992 steel angle has a cross-sectional area of...Ch. 17.3 - The 50-mm-diameter C86100 bronze rod is fixed...Ch. 17.3 - Determine the maximum load P the frame can support...Ch. 17.3 - Prob. 14PCh. 17.3 - Prob. 15PCh. 17.3 - An A992 steel W200 46 column of length 9 m is...Ch. 17.3 - Prob. 17PCh. 17.3 - Prob. 18PCh. 17.3 - Prob. 19PCh. 17.3 - Prob. 20PCh. 17.3 - Prob. 21PCh. 17.3 - The deck is supported by the two 40-mm-square...Ch. 17.3 - Prob. 23PCh. 17.3 - Prob. 24PCh. 17.3 - Prob. 25PCh. 17.3 - Prob. 26PCh. 17.3 - Prob. 27PCh. 17.3 - The linkage is made using two A992 steel rods,...Ch. 17.3 - The linkage is made using two A-36 steel rods,...Ch. 17.3 - The linkage is made using two A-36 steel rods,...Ch. 17.3 - The steel bar AB has a rectangular cross section....Ch. 17.3 - Determine if the frame can support a load of P =...Ch. 17.3 - Determine the maximum allowable load P that can be...Ch. 17.3 - Prob. 34PCh. 17.3 - Prob. 35PCh. 17.3 - The members of the truss are assumed to be pin...Ch. 17.3 - The members of the truss are assumed to be pin...Ch. 17.3 - The truss is made from A992 steel bars, each of...Ch. 17.3 - The truss is made from A992 steel bars, each of...Ch. 17.3 - The steel bar AB of the frame is assumed to be pin...Ch. 17.3 - Prob. 41PCh. 17.3 - Prob. 42PCh. 17.3 - Prob. 43PCh. 17.3 - Prob. 44PCh. 17.3 - Consider an ideal column as in Fig. 1710d, having...Ch. 17.4 - Prob. 46PCh. 17.4 - Prob. 47PCh. 17.4 - The W10 12 structural A-36 steel column is used...Ch. 17.4 - The aluminum column is fixed at the bottom and...Ch. 17.4 - Prob. 50PCh. 17.4 - The aluminum rod is fixed at its base and free and...Ch. 17.4 - Prob. 52PCh. 17.4 - Prob. 53PCh. 17.4 - Prob. 54PCh. 17.4 - The wood column is pinned at its base and top....Ch. 17.4 - Prob. 56PCh. 17.4 - Prob. 57PCh. 17.4 - Prob. 58PCh. 17.4 - Prob. 59PCh. 17.4 - Prob. 60PCh. 17.4 - Prob. 61PCh. 17.4 - Prob. 62PCh. 17.4 - The W14 53 column is fixed at its base and free...Ch. 17.4 - Prob. 64PCh. 17 - The wood column is 4 m long and is required to...Ch. 17 - Prob. 2RPCh. 17 - A steel column has a length of 5 m and is free at...Ch. 17 - Prob. 4RPCh. 17 - Prob. 5RPCh. 17 - If P = 15 kip, determine the required minimum...Ch. 17 - Prob. 7RPCh. 17 - The W200 46 wide-flange A992-steel column can be...Ch. 17 - The wide-flange A992 steel column has the cross...Ch. 17 - The wide-flange A992 steel column has the cross...
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- The wood column is pinned at its base and top. If L = 5 ft, determine the maximum eccentric load P that can be applied without causing the column to buckle or yield. Ew = 1.8(103) ksi, sY = 8 ksi.arrow_forwardThe aluminum column is ixed at the bottom and free at the top. Determine the maximum force P that can be applied at A without causing it to buckle or yield. Use a factor of safety of 3 with respect to buckling and yielding. Eal = 70 GPa, sY = 95 MPa.arrow_forwardThe steel bar AB of the frame is assumed to be pin connected at its ends for y–y axis buckling. If P = 18 kN, determine the factor of safety with respect to buckling about the y–y axis. Est = 200 GPa, sY = 360 MPa.arrow_forward
- The brass rod is ixed at one end and free at the other end. If the eccentric load P = 200 kN is applied, determine the greatest allowable length L of the rod so that it does not buckle or yield. Ebr = 101 GPa, sY = 69 MPa.arrow_forwardA steel pipe is fixed supported at its ends. If it is 5 m long and has an outer diameter of 50 mm and a thickness of 10 mm, determine the maximum axial load P that it can carry without buckling. Est = 200 GPa, sY = 250 MPa.arrow_forwardA 6061-T6 aluminum alloy solid circular rod of length 4 m is pinned at one end while fixed at the other end. If it is subjected to an axial load of 15 kN and F.S. = 2 against buckling, determine the minimum required diameter of the rod to the nearest mmarrow_forward
- A 100-mm-long rod has a diameter of 15 mm. If an axial tensile load of 10 kN is applied to it, determine the change in its diameter. E = 70 GPa, n = 0.35.arrow_forwardThe tube is made of copper and has an outer diameter of 35 mm and a wall thickness of 7 mm. Determine the eccentric load P that it can support without failure.The tube is pin supported at its ends. Ecu = 120 GPa, sY = 750 MPa.arrow_forwardDetermine if the frame can support a load of P = 20 kN if the factor of safety with respect to buckling of member AB is F.S. = 3. Assume that AB is made of steel and is pinned at its ends for x–x axis buckling and fixed at its ends for y–y axis buckling. Est = 200 GPa, sY = 360 MPa.arrow_forward
- The 10-ft wooden column has the dimensions shown. Determine the critical load if the bottom is fixed and the top is pinned. Ew = 1.6(103) ksi, sY = 5 ksi.arrow_forwardDetermine the maximum allowable load P that can be applied to member BC without causing member AB to buckle. Assume that AB is made of steel and is pinned at its ends for x–x axis buckling and fixed at its ends for y–y axisbuckling. Use a factor of safety with respect to buckling of F.S. = 3. Est = 200 GPa, sY = 360 MPa.arrow_forwardA 6061-T6 aluminum alloy solid circular rod of length 4 m is pinned at both of its ends. If it is subjected to an axial load of 15 kN and F.S. = 2 against buckling, determine the minimum required diameter of the rod to the nearest mm.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License