Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.7, Problem 13.124P
To determine
The value of maximum allowable eccentric load on the column.
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Check if the wood column is adequate for supporting the eccentric load of P = 800 lb applied at its top. It is fixed at its base and free at its top. Use the NFPA equations of Sec. 13.6 and Eq. 13–30.
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Select the lightest W shape that will act as a column of 7 m long with both end hinged and support an axial load of12KN with the safety factor of 2.2, assume the proportional limit for steel is 200 Mpa and E=208 Gpa
Chapter 13 Solutions
Mechanics of Materials (10th Edition)
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 column consists of a rigid member that is...Ch. 13.3 - The aircraft link is made from an A992 steel rod....Ch. 13.3 - Rigid bars AB and BC are pin connected at B. If...
Ch. 13.3 - A 2014-T6 aluminium alloy column has a length of 6...Ch. 13.3 - Solve Prob. 13-5 if the column is pinned at its...Ch. 13.3 - The W12 50 is made of A992 steel and is used as a...Ch. 13.3 - The W12 50 is made of A992 steel and is used as a...Ch. 13.3 - A steel column has a length of 9 m and is fixed at...Ch. 13.3 - A steel column has a length of 9 m and is pinned...Ch. 13.3 - The A992 steel angle has a cross-sectional area of...Ch. 13.3 - The 50-mm-diameter C86100 bronze rod is fixed...Ch. 13.3 - Determine the maximum load P the frame can support...Ch. 13.3 - The W8 67 wide-flange A-36 steel column can be...Ch. 13.3 - Prob. 13.15PCh. 13.3 - Prob. 13.16PCh. 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 - The A-36 steel pipe has an outer diameter of 2 in....Ch. 13.3 - The A-36 steel pipe has an outer diameter of 2 in....Ch. 13.3 - The deck is supported by the two 40-mm-square...Ch. 13.3 - The deck is supported by the two 40-mm-square...Ch. 13.3 - The beam is supported by the three pin-connected...Ch. 13.3 - The W14 30 A992 steel column is assumed pinned at...Ch. 13.3 - The A992 steel bar AB has a square cross section....Ch. 13.3 - The linkage is made using two A992 steel rods,...Ch. 13.3 - The linkage is made using two A992 steel rods,...Ch. 13.3 - The linkage is made using two A-36 steel rods,...Ch. 13.3 - The linkage is made using two A-36 steel rods,...Ch. 13.3 - The steel bar AB has a rectangular cross section....Ch. 13.3 - Determine if the frame can support a load of P =...Ch. 13.3 - Determine the maximum allowable load P that can be...Ch. 13.3 - Prob. 13.34PCh. 13.3 - Prob. 13.35PCh. 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 - The truss is made from A992 steel bars, each of...Ch. 13.3 - The truss is made from A992 steel bars, each of...Ch. 13.3 - Prob. 13.40PCh. 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 wood column is fixed at its base and free at...Ch. 13.5 - The W10 12 structural A-36 steel column is used...Ch. 13.5 - The W10 12 structural A-36 steel column is used...Ch. 13.5 - The aluminium column is fixed at the bottom and...Ch. 13.5 - Prob. 13.50PCh. 13.5 - Prob. 13.51PCh. 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. 13.54PCh. 13.5 - The wood column is pinned at its base and top. If...Ch. 13.5 - Prob. 13.56PCh. 13.5 - Prob. 13.57PCh. 13.5 - Prob. 13.58PCh. 13.5 - Prob. 13.59PCh. 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. 13.63PCh. 13.5 - A W14 30 structural A-36 steel column is pin...Ch. 13.5 - Prob. 13.65PCh. 13.5 - The 6061-T6 aluminum alloy solid shaft is fixed at...Ch. 13.5 - The 6061-T6 aluminum alloy solid shaft is fixed at...Ch. 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 - Prob. 13.70PCh. 13.5 - The stress-strain diagram for a material can be...Ch. 13.5 - The stress-strain diagram for a material can be...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. 13.5 - Prob. 13.77PCh. 13.6 - Determine the largest length of a W10 12...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Take Y = 50 ksi.Ch. 13.6 - Determine the longest length of a W8 31...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 13.83PCh. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 13.85PCh. 13.6 - Prob. 13.86PCh. 13.6 - Prob. 13.87PCh. 13.6 - Prob. 13.88PCh. 13.6 - Using the AISC equations, check if a column having...Ch. 13.6 - The beam and column arrangement is used in a...Ch. 13.6 - Prob. 13.91PCh. 13.6 - Prob. 13.92PCh. 13.6 - The 1-in.-diameter rod is used to support an axial...Ch. 13.6 - The 1-in.-diameter rod is used to support an axial...Ch. 13.6 - Prob. 13.95PCh. 13.6 - Prob. 13.96PCh. 13.6 - Prob. 13.97PCh. 13.6 - Prob. 13.98PCh. 13.6 - The tube is 0.25 in. thick, is made of 2014-T6...Ch. 13.6 - Prob. 13.100PCh. 13.6 - A rectangular wooden column has the cross section...Ch. 13.6 - Prob. 13.102PCh. 13.6 - Prob. 13.103PCh. 13.6 - The bar is made of aluminum alloy 2014-T6....Ch. 13.6 - Prob. 13.105PCh. 13.6 - Prob. 13.106PCh. 13.7 - The W8 15 wide-flange A-36 steel column is...Ch. 13.7 - Solve Prob.13-107 if the column is fixed at its...Ch. 13.7 - Prob. 13.109PCh. 13.7 - Prob. 13.110PCh. 13.7 - The W8 15 wide-flange A992 steel column is fixed...Ch. 13.7 - The W8 15 wide-flange A992 steel column is fixed...Ch. 13.7 - The W12 22 wide-flange A-36 steel column is fixed...Ch. 13.7 - Prob. 13.114PCh. 13.7 - Prob. 13.115PCh. 13.7 - Prob. 13.116PCh. 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. 13.7 - Prob. 13.121PCh. 13.7 - Prob. 13.122PCh. 13.7 - Prob. 13.123PCh. 13.7 - Prob. 13.124PCh. 13.7 - The 10-in.-diameter utility pole supports the...Ch. 13.7 - Using the NFPA equations of Sec 13.6. and Eq....Ch. 13.7 - Prob. 13.127PCh. 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 column consists of a 2.5 m long hollow tube with an outside diameter equal to 1.5 times that of the inside diameter. The column must carry an axial load of 40 KN without buckling. Use a factor of safety of 5 and calculate the dimensions of the tube if one end is fixed and the other end is free. Use the Euler formula and take ?=200 ???.arrow_forwardDetermine if the following column is long or short, and then determine the critical load on a steel column having a rectangular cross-section, 12mm by 18mm and length of 250 mm. it is fixed on both ends and made from a steel that has the following properties: E=209 Gpa and Sy=290 Mpa. What is the Slenderness ratio, The Cc, The long or short column, The critical load.arrow_forward5. An A-36 (Fy= 250 MPa) steel column has a length of 5 m and is fixed at both ends. If the cross-sectional area has the dimensions shown, determine the critical load. 10 mm 1 - -10 mm 50 mm E100 mmHarrow_forward
- The W150x22 column is made of A-992 steel and has length L of 4.69 m. Determine the critical load if its bottom end is fixed supported and its top is free to move about the strong axis and is pinned about the weak axis. O 2216.02 kN O 86.82 kN O 708.76 kN O 176.45 kN O 986.7 kN O 347.29 kN O 1085.85 kN O 271.46 kNarrow_forwardA 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_forwardA 20-ft-long column is made of aluminum alloy 2014-T6. If it is pinned at its top and bottom, and a compressive load P is applied at point A, determine the maximum allowable magnitude of P using the equations of Sec. 13.6 and Eq. 13–30.arrow_forward
- Problem 13.12 2 of 4 I Review The 57-mm-diameter C86100 bronze rod is fixed supported at A and has a gap of 2 mm from the wall at B. B 1 m 2 mm Part A Determine the increase in temperature AT that will cause the rod to buckle. Assume that the contact at B acts as a pin. Use Epr = 103 GPa. Express your answer to three significant figures and include appropriate units. HA AT = Value Units Submit Request Answer Provide Feedback Next >arrow_forwardDetermine the largest load P that can be applied to the structure shown below. All members are made of A-36 steel and you are to consider a factor of safety of 2.8. Only consider in the plane of the structure. P 20-mm diameter 15-mm diameter A Q 0.5 m B 1 m 0.5 marrow_forwardThe 10-ft-long bar is made of aluminum alloy 2014-T6. If it is fixed at its bottom and pinned at the top, determine the maximum allowable eccentric load P that can be applied using the formulas in Sec. 13.6 and Eq. 13–30.arrow_forward
- An 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_forwardThe W360 X 57 column is made of A-36 steel. Determine the critical load if its bottomend is fixed supported and its top is free to move about the strong axis and is pinnedabout the weak axis.arrow_forwardThe column shown is fabricated from two C250 x 30 standard steel shapes (see Appendix B for its cross-sectional properties) that are oriented back-to-back with a gap of 33 mm between the two channels. The column is fixed at its base and free to translate in the y direction at its upper end. Translation in the z direction, however, is restrained at its upper end. A load Pis applied at an offset distance of 430 mm from the channel flanges. Use the AISC equations given in Section 16.5, and assume that L= 4.1 m, s = 33 mm, E = 200 GPa, oy = 275 MPa, and (Gallow )h = 145 MPa. Offset distance e Lateral bracing in z direction C250 x 30 y C250 x 30 Cross section.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License