Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.3, Problem 7P
To determine
Find the factor of safety for buckling of column.
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A 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 mm.
A 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.
Determine 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.
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 linkage is made using two A-36 steel rods, each having a circular cross section. Determine the diameter of each rod to the nearest 1 8 in. that will support the 900-lb load. Assume that the rods are pin connected at their ends. Use a factor of safety with respect to buckling of F.S. = 1.8.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_forwardThe distributed load is supported by two pin-connected columns, each having a solid circular cross- section. If AB is made up of aluminum and CD of steel, determine the required diameter of each column so that both will buckle at the same time. (Esteel = 200 GPa, Sy,steel = 250 MPa, Eal = 70 GPa and Sy,al = 100 MPa). 18 kN/m 3 m 0.75 m 0.75 marrow_forward
- Link OB is 20 mm wide and 10 mm thick and is made from low-carbon steel with Sy= 200 MPa. The pin joints are constructed with sufficient size and fit to provide good resistance to out-of-plane bending. Determine the factor of safety for out-of-plane buckling. 800 mm where F=1250 N B 400 mm F The factor of safety for out-of-plane buckling isarrow_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_forwardAn A992 steel W200 * 46 column of length 9 m is fixed at one end and free at its other end. Determine the allowable axial load the column can support if F.S. = 2 against buckling.arrow_forward
- An A992 steel W200 x 46 column of length 9 m is fixed at one end and free at its other end. Determine the allowable axial load the column can support if F.S. = 2 against buckling.arrow_forwardA column of 22-ft effective length is to be made by welding two 9 *0.5-in. plates to a W8 * 35 rolled steel shape as shown. Determine the allowable centric load if a factor of safety 2.3 is required. Use E=29 *106 psiarrow_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
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License