Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 13.3, Problem 40P
To determine
The factor of safety for buckling about y-y axis.
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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.
The 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.
The column shown below, made from medium carbon steel AISI 1040 (E = 207 GPa and Sy = 290 MPa), has an outer diameter of 50 mm and a wall thickness of 5 mm. If the pipe is held in place by a guy wire, determine the largest horizontal force P that can be applied without causing the pipe to buckle. Use the following correlations if needed,
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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- The link AB of the pliers has the cross section dimensions 3mm x 20mm, and is made of steel with elastic modulus E= 190 GPa. Determine the value of the force F that would cause failure of the link by buckling. 30 mm B. -70 mm 30 mm 30 mm 30 mmarrow_forwardA steel pipe is fixed supported at its ends. If it is 5 m long and has an outer diameter of 50 mm and a thickness of 10 mm, determine the maximum axial load P that it can carry without buckling. Est = 200 GPa, sY = 250 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_forward
- The 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_forwardA detailed view is shown for the connection B in the concrete trough. The tension in cable B is 450 lb. Determine the shear stress acting in the shackle's 3/8 in. bolt. (Express your answer using three significant figures.) T = ksiarrow_forward2. The steel pipe (E = 200 GPa) has an outer radius of 20 mm and an inner radius of 15 mm. If it fits snugly between the fixed walls before it is loaded, determine the reaction at the walls when it is subjected to the load shown. A B 300 mm- 8 kN 8 kN 700 mmarrow_forward
- The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b = 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7mm to the left? A Answer: P = i (3) eTextbook and Media Save for Later B b D kN Attempts: 0 of 5 used Submit Answerarrow_forwardThe pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b = 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7 mm to the left? A Answer: P = i (3) eTextbook and Media Save for Later B b D kN Attempts: 0 of 5 used Submit Answerarrow_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_forward
- A 100-mm-long rod has a diameter of 15 mm. If an axial tensile load of 10 kN is applied to it, determine the change in its diameter. E = 70 GPa, n = 0.35.arrow_forwardDetermine the maximum load P the frame can support without buckling member AB. Assume that AB is made of steel and is pinned at its ends for y–y axis buckling and fixed at its ends for x–x axis buckling. Est = 200 GPa, sY = 360 MPa.arrow_forwardDetermine the magnitude of the maximum load P (kN) that can be applied to A without buckling in member (1).arrow_forward
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