Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.3, Problem 3FP
To determine
Find the maximum allowable load supported by the column without buckling.
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The 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.
A 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.
400 mm
A 992 steel
800 mm
50 mm
2014-T6 aluminum alloy
Section a-a
The 2014-T6 aluminium rod AC is reinforced with the firmly bonded A992 steel tube BC. The assembly
fits snugly between the rigid supports so that there is no gap at C. An axial force of P=445 kN is
applied. The assembly is attached at D.
Determine the support reaction at CC.
Express your answer to three significant figures and include appropriate units.
Chapter 17 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 17.3 - A 50-in.-long steel rod has a diameter of 1 in....Ch. 17.3 - A 12-ft wooden rectangular column has the...Ch. 17.3 - Prob. 3FPCh. 17.3 - A steel pipe is fixed supported at its ends. If it...Ch. 17.3 - Determine the maximum force P that can be...Ch. 17.3 - The A992 steel rod BC has a diameter of 50 mm and...Ch. 17.3 - Determine the critical buckling load for the...Ch. 17.3 - Prob. 2PCh. 17.3 - The aircraft link is made from an A992 steel rod....Ch. 17.3 - Rigid bars AB and BC are pin connected at B. If...
Ch. 17.3 - A 2014-T6 aluminum alloy column has a length of 6...Ch. 17.3 - Prob. 6PCh. 17.3 - Prob. 7PCh. 17.3 - Prob. 8PCh. 17.3 - A steel column has a length of 9 m and is fixed at...Ch. 17.3 - A steel column has a length of 9 m and is pinned...Ch. 17.3 - The A992 steel angle has a cross-sectional area of...Ch. 17.3 - The 50-mm-diameter C86100 bronze rod is fixed...Ch. 17.3 - Determine the maximum load P the frame can support...Ch. 17.3 - Prob. 14PCh. 17.3 - Prob. 15PCh. 17.3 - An A992 steel W200 46 column of length 9 m is...Ch. 17.3 - Prob. 17PCh. 17.3 - Prob. 18PCh. 17.3 - Prob. 19PCh. 17.3 - Prob. 20PCh. 17.3 - Prob. 21PCh. 17.3 - The deck is supported by the two 40-mm-square...Ch. 17.3 - Prob. 23PCh. 17.3 - Prob. 24PCh. 17.3 - Prob. 25PCh. 17.3 - Prob. 26PCh. 17.3 - Prob. 27PCh. 17.3 - The linkage is made using two A992 steel rods,...Ch. 17.3 - The linkage is made using two A-36 steel rods,...Ch. 17.3 - The linkage is made using two A-36 steel rods,...Ch. 17.3 - The steel bar AB has a rectangular cross section....Ch. 17.3 - Determine if the frame can support a load of P =...Ch. 17.3 - Determine the maximum allowable load P that can be...Ch. 17.3 - Prob. 34PCh. 17.3 - Prob. 35PCh. 17.3 - The members of the truss are assumed to be pin...Ch. 17.3 - The members of the truss are assumed to be pin...Ch. 17.3 - The truss is made from A992 steel bars, each of...Ch. 17.3 - The truss is made from A992 steel bars, each of...Ch. 17.3 - The steel bar AB of the frame is assumed to be pin...Ch. 17.3 - Prob. 41PCh. 17.3 - Prob. 42PCh. 17.3 - Prob. 43PCh. 17.3 - Prob. 44PCh. 17.3 - Consider an ideal column as in Fig. 1710d, having...Ch. 17.4 - Prob. 46PCh. 17.4 - Prob. 47PCh. 17.4 - The W10 12 structural A-36 steel column is used...Ch. 17.4 - The aluminum column is fixed at the bottom and...Ch. 17.4 - Prob. 50PCh. 17.4 - The aluminum rod is fixed at its base and free and...Ch. 17.4 - Prob. 52PCh. 17.4 - Prob. 53PCh. 17.4 - Prob. 54PCh. 17.4 - The wood column is pinned at its base and top....Ch. 17.4 - Prob. 56PCh. 17.4 - Prob. 57PCh. 17.4 - Prob. 58PCh. 17.4 - Prob. 59PCh. 17.4 - Prob. 60PCh. 17.4 - Prob. 61PCh. 17.4 - Prob. 62PCh. 17.4 - The W14 53 column is fixed at its base and free...Ch. 17.4 - Prob. 64PCh. 17 - The wood column is 4 m long and is required to...Ch. 17 - Prob. 2RPCh. 17 - A steel column has a length of 5 m and is free at...Ch. 17 - Prob. 4RPCh. 17 - Prob. 5RPCh. 17 - If P = 15 kip, determine the required minimum...Ch. 17 - Prob. 7RPCh. 17 - The W200 46 wide-flange A992-steel column can be...Ch. 17 - The wide-flange A992 steel column has the cross...Ch. 17 - The wide-flange A992 steel column has the cross...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Two members are combined and they are subjected to a tensile load of 55 kN is shown below. Assuming that the bars are prevented from buckling sideways. Determine the total increase in length. Take E1 as 175GPA & E2 as 210 GPa. sec 2 Sec 1 DI 30mm D2-60mm 40 cm 70 cmarrow_forwardA 6061-T6 aluminum alloy solid circular rod of length 4 m is pinned at one end while fixed at the other end. 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.arrow_forwardMember AB is d = 6.5 m long, made of steel, and is pinned at its ends for y-y axis buckling and fixed at its ends for - axis buckling. Est = 200 GPa, oy = 360 MPa. Part A Determine the maximum load P the frame can support without buckling member AB. Express your answer to three significant figures and include appropriate units. μA Value Submit Units Request Answer ? 4 m -3m-4 F 50 mm x+x 50 mmH s 50 mmarrow_forward
- d Link 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 A B 400 mm F The factor of safety for out-of-plane buckling is 0.2807arrow_forwardDetermine the maximum force P that can be applied to the handle so that the steel control rod AB does not buckle. The rod has a diameter of 0.25 m. It is pin connected at .its ends. E = 100 MPa )2.5 نقطة( 3m 2 m A 3 marrow_forwardAssume that the wood column is pinned top and bottom for movement about the x-y axis, and ixed at the bottom and free at the top for movement about the y-y axis. Determine the maximum eccentric load P that canbe applied without causing the column to buckle or yield. Ew = 1.8(103) ksi, sY = 8 ksi.arrow_forward
- Determine the maximum load P that the frame can withstand without bending the A992 BC steel part. Due to the split ends of the element, consider that the B and C supports act as joints for buckling on the x - x axis and as fixed supports for buckling on the y-y axis. Note : A similar problem is already solved on bartl*by.i have attached its screen shot here. You can refer it.arrow_forwardThe 2014 T6 aluminum strut is foced between the two walls at A and B. It has a 2 in. by 2 in. square cross section, and it is subjected to the torsional loading shown where Ti - 22 lb-ft and T, - 42 lb-ft (Eiguce 1) TA - Value Units Submit Reavest Answer Part B Detormine the reactions at the foxed support B Express your answer to three significant figures and include appropriate units HA Ty- Value Units Figure <1 of 1 Submit Requeat Answer • Part C What is the anghe of twt at C Express your answer to three significant figures and include appropriate units. Pearsonarrow_forwardDetermine if the frame can support a load of P = 20 kN if the factor of safety with respect to buckling of member AB is F.S. = 3. 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 axis buckling. Est = 200 GPa, sY = 360 MPa.arrow_forward
- The 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 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_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License