Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 13.6, Problem 102P
To determine
the maximum length of the column.
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Prior to the application of the P = 120 kip load, the gap between C and the rigid wall at D was as depicted as below. Determine the support reaction at D (in kip) after force P has been applied. The assembly is made of solid cylinders: AB is Stainless 304 steel alloy, and BC is 6061-T6 aluminum alloy.
Consider the wooden member subjected to a tensile load P = 11.0 kN. Determine the magnitude of the normal force at the inclined section shown.
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ANSWER: 1.80cm and 2.48cm
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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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- Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. If F1 = 30 kips, F2 = 10 kips, F3 = 26 kips, and F4 = 37 kips, determine the absolute value of the axial load in rod (2).arrow_forwardTwo solid cylindrical rods support a load of P = 17 kN as shown. Determine the axial load in rod (1).arrow_forwarda b c d F 5 m 1.5 m 2.1 m 2.4 m 26 kN The structure above is subjected to a load at point C. Using the table below, determine the forces acting at the support pins and at pin B on member ABC. Forces: (Denote tension forces with positive values; compressive forces with negative values.) FAX = ? FAY = ?arrow_forward
- A rectangular wooden column has the cross section shown. If a = 3 in. and the column is 12 ft long, determine the allowable axial force P that can be safely supported by the column if it is pinned at its top and ixed at its base.arrow_forwardThe structural steel column is fixed at its base and free at its upper end. Assume L = 13.0 ft, a = 0.99 in., b = 7.5 in., c = 9.48 in., d = 9.48 in., and t = 0.79 in. At the top of the column, a load P is applied to the stiffened seat support at an eccentricity of e from the centroidal axis of the wide-flange shape. Using the allowable stress method, determine the maximum allowable eccentricity e if (a) P = 18 kips and (b) P = 32 kips. Apply the AISC equations given in Section 16.5 and assume that E = 29,000 ksi and oy = 50 ksi. eccentricity e a P y . d L Cross sectionarrow_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 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_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 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 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= 65 GPa. The steel rod has a diameter of 18 mm and an elastic modulus of E= 215 GPa. Assume a = 3.2 m, b = 1.3 m, and c = 1.4 m. What is the magnitude of load P that is necessary to displace point A 10 mm to the left? (1) (3) A 4 Answer: P = i B (2) D KNarrow_forwardThe rigid bar of negligible weight is supported as shown. The middle helical spring is made of 22 mm diameter steel spring and has an outside diameter of 100 mm with 10 turns and the two side springs are made of 32 mm steel spring and has an outside diameter of 250 mm with 8 turns. Before the load P is applied, the side springs are 25 mm longer than the middle spring. If the applied load P = 15 kN and the rigid bar remains horizontal, determine the stress in each spring. Use G = 83 GPa for steel and G = 42 GPa for bronze.arrow_forward
- Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. If F1 = 30 kips, F2 = 15 kips, F3 = 22 kips, and F4 = 39 kips, determine the absolute value of the axial load in rod (2). A F, V (1) ▼ F, F, 1T F3 F4 F (3) Darrow_forwardThe pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 18 mm and an elastic modulus of E = 71 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assume a = 3.5 m, b = 1.4 m, and c = 1.1 m. What is the magnitude of load P that is necessary to displace point A 13 mm to the left? B Answer: P = i KNarrow_forwardThe bars AB, AC, and AD are pinned together as shown in the Horizontal movement of the pin at A is prevented by the rigid horizontal strut AE. Calculate the axial force in the strut caused by the 10-kip load. For each steel bar, A = 0.3 in.2 and E = 29 x 106 psi. For the aluminum bar, A = 0.6 in.2 and E = 10 x 106 psi.arrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License