Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 13.3, Problem 35P
To determine
The minimum diameter of the rod.
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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.
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.
The 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 m
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 critical axial buckling load for an 8 3/4 x 12 inches glue-laminated column braced at 10ft from the bottom in the y axis for a total height of 25ft. Assume pin connections at top and bottom. Fc= 1750 psi, E= 1.8x106 psi. (Western cross-section glu-lam data is in the text).arrow_forwardLink 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_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_forward
- 5. Determine the greatest load P the frame will support without causing the A-36 steel member BC to buckle. Due to the forked ends on the member, consider the supports at B and C to act as pins for x-x axis buckling and as fixed supports for y-y axis buckling. Given E = 200 Gpa. -1.2 m- -1.2 m- 0.9 m 75 mm 25 mm Figure 5arrow_forwardIf load P = 22.1 kips, determine the normal force in bar (1).arrow_forwardDetermine the radius of the round strut so that the round and square struts have the same cross-sectional area, and compute the critical load for each. Use E=200 GPa.arrow_forward
- Downvote for incorrect answer The connection is made using a bolt and nut and two washers. If the allowable bearing stress of the washers on the boards is (b)allow 2 ksi, and the allowable tensile stress within the bolt shank S is (allow 18 ksi, determine the maximum = allowable tension in the bolt shank. The bolt shank has a diameter of 0.31 in., and the washers have an outer diameter of 0.75 in. and inner diameter (hole) of 0.50 in.arrow_forwardThe stress–strain diagram for a material can be approximated by the two line segments shown. If a bar having a diameter of 80 mm and a length of 1.5 m is made from this material, determine the critical load provided one end is pinned and the other is fixed. Assume that the load acts through the axis of the bar. Use Engesser’s equation.arrow_forwardProblem 2 AW14X30A-36 steel column is pin connected at its ends and has a length of 10ft.Determine the maximum eccentric and load P so the column does not buckle or yield. Comparethis a critical load applied through the centroidarrow_forward
- Compute the internal diameter of the 10 m length hollow cast iron column. If the externaldiameter is two times the internal diameter and the safe compressive load on a hollowcast iron column with one end rigidly fixed and other end hinged is 60 kN. Use Euler’sformula with a factor of safety of 3 and E = 90 kN/mm2arrow_forwardA rectangular wooden column has the cross section shown. If a = 3 in. and the column is subjected to an axial force of P = 15 kip, determine the maximum length the column can have to safely support the load. The column is pinned at its top and ixed at its base.arrow_forwardTwo metal bars are fastened together at the bolted flange connection shown. There are 2 total bolts 12.7 mm. The flange is - connecting the two metal bars together and each bolt has diameter dbolt oriented at angle 55° with respect to longitudinal axis of the metal bars. If an axial force F = 40 kN is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of 1020HR steel and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. SF overall F = = 2.576 Ꮎ ? X 0% = Farrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License