Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17, Problem 4RP
To determine
Find the maximum load on the column.
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kips.
Determine the Euler Buckling axial compressive load of W 12 x 72 section having a length of L=48 ft and fixed ends, Pe=
Assume that the column is made of A441 steel with E = 29 x 103 ksi, and assume that the normal stress generated by P is still within the elastic range of the material.
Reminder: use the minimum moment of inertial of the cross section. Please calculate your answer to 1 decimal place.
Lft
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The wing spar ABD of a light plane is made from 2014-T6 aluminum and has a cross-
sectional area of 800 mm², a height of 79 mm, and a moment of inertia about its
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through the cross-section at half of its height. Connection is made along the central
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Determine the absolute maximum bending stress in the spar.
0.6 m
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0.9 m
B
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5. Two C310x45 channels are latticed together so they have equal moments
of inertia about the principal axes. Determine the minimum length of
column having this section, assuming pinned ends, E = 200 GPa, and a
proportional limit of 240 MPa. What safe load will the column carry for the
length of 12 m with a factor of safety of 2.5?
For C310x45, take I = 67.3x10-6 m4
%3D
Ans L = 9.89 m, F = 738 kN
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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- 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_forwardDetermine the critical load, Per, required to cause failure of a 21 ft long column made of A-36 structural steel with a moment of inertia of 2.19 in about the y-y axis, 16.4 in* about the x-x axis, and a cross sectional area of A = 2.68 in?. Assume that the column behaves as if it is fixed at its base, and fixed at the top. Be sure to check both buckling possibilities, and the crushing failure mode when determining the failure load. isearrow_forward4. Repeat problem 3 assuming that the column is made of wood for which E = 10 GPa. Ans. 81.34 mm 5. Two C310x45 channels are latticed together so they have equal moments of inertia about the principal axes. Determine the minimum length of column having this section, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for the length of 12 m with a factor of safety of 2.5? For C310x45, take I = 67.3×10-6 m4 Ans L = 9.89 m, F = 738 kNarrow_forward
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- A column of 6.7-m effective length is obtained by connecting four L89 x 89 x 9.5-mm steel angles with lacing bars as shown. Using allowable stress design, determine the allowable centric load for the column. Use oy= 345 MPa and E= 200 GPa. Neglect the effect of the lacing bars on the moment of inertia. (Round the final answer to the nearest whole number.) | 89 mm mm The allowable centric load is kN.arrow_forwardThe rigid arm AB is attached to the end of the solid circular steel rod BC. The rod is supported by bearings at B and a fixed support at C. The bearings at B prevent rod BC from translating up, down, left, or right, but the bearings do allow rod BC to rotate freely about the x axis at B. It is required that the vertical deflection of point A not exceed 0.25 in. when a load of P = 700 lb is applied at A. Determine the minimum diameter needed for rod BC. Use a = 18 in. and b = 45 in. The modulus of rigidity of the rod is G = 11×106 psi. A P Answer: dmin = i a B b in. Carrow_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 Pis 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 b y d Cross sectionarrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License