Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 13, Problem 10RP
The wide-flange A992 steel column has the cross section shown. If it is fixed at the bottom and free at the top, determine if the column will buckle or yield when the load P = 10 kN is applied at A. Use a factor of safety of 3 with respect to buckling and yielding.
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The wide-flange A992 steel column has the cross section shown. If it is fixed 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 safetyof 3 with respect to buckling and yielding.
The wide-flange A992 steel column has the cross section shown. If it is fixed at the bottom and free at the top, determine if the column will buckle or yield when the load P = 10 kN is applied at A. Use a factor of safety of 3 with respect to buckling and yielding.
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.
Chapter 13 Solutions
Mechanics of Materials
Ch. 13.3 - A 50-in long steel rod has a diameter of 1 in....Ch. 13.3 - A 12-ft wooden rectangular column has the...Ch. 13.3 - The A992 steel column can be considered pinned at...Ch. 13.3 - A steel pipe is fixed supported at its ends. If it...Ch. 13.3 - Determine the maximum force P that can be...Ch. 13.3 - The A992 steel rod BC has a diameter of 50 mm and...Ch. 13.3 - Determine the critical buckling load for the...Ch. 13.3 - The 10-ft wooden rectangular column has the...Ch. 13.3 - The 10-fl wooden column has the dimensions shown....Ch. 13.3 - Determine the maximum force P that can be applied...
Ch. 13.3 - Prob. 34PCh. 13.3 - Prob. 35PCh. 13.3 - The members of the truss are assumed to be pin...Ch. 13.3 - Solve Prob. 1336 for member AB, which has a radius...Ch. 13.3 - Prob. 40PCh. 13.3 - The ideal column has a weight w (force/length) and...Ch. 13.3 - The ideal column is subjected to the force F at...Ch. 13.3 - The column with constant El has the end...Ch. 13.3 - Consider an ideal column as in Fig.13-10 c, having...Ch. 13.3 - Consider an ideal column as in Fig. 13-10d, having...Ch. 13.5 - The aluminium column is fixed at the bottom and...Ch. 13.5 - Prob. 50PCh. 13.5 - Prob. 51PCh. 13.5 - The aluminum rod is fixed at its base and free and...Ch. 13.5 - Assume that the wood column is pin connected at...Ch. 13.5 - Prob. 54PCh. 13.5 - Prob. 59PCh. 13.5 - The wood column is pinned at its base and top. If...Ch. 13.5 - The brass rod is fixed at one end and free at the...Ch. 13.5 - The brass rod is fixed at one end and free at the...Ch. 13.5 - Prob. 65PCh. 13.5 - The W14 53 structural A992 steel column is fixed...Ch. 13.5 - The W14 53 column is fixed at its base and free...Ch. 13.5 - The stress-strain diagram for the material of a...Ch. 13.5 - Construct the buckling curve, P/A versus L/ r, for...Ch. 13.5 - The stress-strain diagram of the material can be...Ch. 13.5 - The stress-strain diagram of the material can be...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Take Y = 50 ksi.Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 83PCh. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 97PCh. 13.6 - Prob. 98PCh. 13.6 - The tube is 0.25 in. thick, is made of 2014-T6...Ch. 13.6 - Prob. 100PCh. 13.6 - A rectangular wooden column has the cross section...Ch. 13.6 - Prob. 102PCh. 13.7 - The W8 15 wide-flange A-36 steel column is...Ch. 13.7 - Prob. 110PCh. 13.7 - A 20-ft-long column is made of aluminum alloy...Ch. 13.7 - A 20-ft-long column is made of aluminum alloy...Ch. 13.7 - The 2014-T6 aluminum hollow column is fixed at its...Ch. 13.7 - The 2014-T6 aluminum hollow column is fixed at its...Ch. 13 - The wood column has a thickness of 4 in. and a...Ch. 13 - The wood column has a thickness of 4 in. and a...Ch. 13 - A steel column has a length of 5 m and is free at...Ch. 13 - The square structural A992 steel tubing has outer...Ch. 13 - If the A-36 steel solid circular rod BD has a...Ch. 13 - If P = 15 kip, determine the required minimum...Ch. 13 - The steel pipe is fixed supported at its ends. If...Ch. 13 - The W200 46 wide-flange A992-steel column can be...Ch. 13 - The wide-flange A992 steel column has the cross...Ch. 13 - The wide-flange A992 steel column has the cross...
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- 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.arrow_forwardR17-10. The wide-flange A992 steel column has the cross section shown. If it is fixed at the bottom and free at the top, determine if the column will buckle or yield when the load P = 10 kN is applied at A. Use a factor of safety of 3 with respect to buckling and yielding. -20 mm 150 mm 패-10mm 10 mm 100 mm 4 m 100 mm 10 mmarrow_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 mm.arrow_forward
- 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.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
- The 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_forwardThe 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.arrow_forwardThe 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_forward
- The A-36 steel pipe has an outer diameter of 2 in. If it is held in place by a guywire, determine its required inner diameter to the nearest 1 8 in., so that it can support a maximum vertical load of P = 4 kip without causing the pipe to buckle. Assume the ends of the pipe are pin connected.arrow_forwardThe 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_forwardThe A992 steel bar AB has a square cross section. If it is pin connected at its ends, determine the maximum allowable load P that can be applied to the frame. Use a factor of safety with respect to buckling of 2.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License