Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 13.5, Problem 65P
To determine
The value of maximum allowable eccentric load P on the strut for buckling and yielding not to take place.
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*R17-8. The W200 × 46 wide-flange A992-steel column
can be considered pinned at its top and fixed at its base.
Also, the column is braced at its mid-height against weak
axis buckling. Determine the maximum axial load the
column can support without causing it to buckle.
6 m
6 m
The W200 * 46 wide-flange A992-steel column can be considered pinned at its top and fixed at its base. Also, the column is braced at its mid-height against weak axis buckling. Determine the maximum axial load the column can support without causing it to buckle.
Determine the maximum allowable intensity www of the distributed load that can be applied to member BCBCBC without causing member ABABAB to buckle. Assume that ABABAB is made of steel and is pinned at its ends for x−xx−xx-x axis buckling and fixed at its ends for y−yy−yy-y axis buckling. Use a factor of safety with respect to buckling of 2.24. EstEst = 200 GPaGPa, σYσY = 360 MPaMPa.
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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- A 2014-T6 aluminum alloy column has a length of 6 m and is fixed at one end and pinned at the other. If the cross-sectional area has the dimensions shown, determine the critical load. sY = 250 MPa.arrow_forwardThe truss is made from A992 steel bars, each of which has a circular cross section. If the applied load P = 10 kip, determine the diameter of member AB to the nearest 1/8 in. that will prevent this member from buckling. The members are pin connected at their ends.arrow_forwardThe A992 steel column can be considered pinned at its top and bottom and braced against its weak axis at the mid-height. Determine the maximum allowable force P that the column can support without buckling. Apply a F.S. = 2 against buckling. Take A = 7.4(10-3) m2, Ix = 87.3(10-6) m4, and Iy = 18.8(10-6) m4.arrow_forward
- The truss is made from A992 steel bars, each of which has a circular cross section with a diameter of 1.5 in. Determine the maximum force P that can be applied without causing any of the members to buckle. The members are pin connected at their ends.arrow_forwardThe W360 x 57 column is made of A-36 steel and isfixed supported at its base. If it is subjected to an axial loadof P = 75 kN, determine the factor of safety with respect tobuckling.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
- A W12 * 26 structural A992 steel column is pin connected at its ends and has a length L = 11.5 ft. Determine the maximum eccentric load P that can beapplied so the column does not buckle or yield. Compare this value with an axial critical load P applied through the centroid of the column.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_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_forward
- The W12 * 50 is made of A992 steel and is used as a column that has a length of 20 ft. If its ends are assumed pin supported, and it is subjected to an axial load of 150 kip, determine the factor of safety with respect to buckling.arrow_forwardThe 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.arrow_forwardThe aircraft link is made from an A992 steel rod. Determine the smallest diameter of the rod, to the nearest 1/16 in., that will support the load of 4 kip without buckling. The ends are pin connected.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License