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 27P
To determine
Find the diameter of the rod to the nearest
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A column consists of a 2.5 m long hollow tube with an outside diameter equal to 1.5 times that of the inside diameter. The column must carry an axial load of 40 KN without buckling. Use a factor of safety of 5 and calculate the dimensions of the tube if one end is fixed and the other end is free. Use the Euler formula and take ?=200 ???.
The linkage is made using two A992 steel rods,
each having a circular cross section. The linkage
needs to
support a
load of
12 ft
9 ft
B
P
-5 ft-
P = 10 kip. Assume that the rods are pin
connected at their ends. Use a factor of safety
with respect to buckling of 1.8.
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
B
400 mm
F
The factor of safety for out-of-plane buckling is
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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- The aircraft link is made from an A992 steel rod. Determine the smallest diameter of the rod, to the nearest 1/16 in., that will support the load of 4 kip without buckling. The ends are pin connected.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_forwardDetermine the longest length of a W8 * 31 structural A992 steel section if it is pin supported and is subjected to an axial load of 130 kip. Use the AISC equations.arrow_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_forwardThe rigid pipe is supported by a pin at A and an A-36 guy wire BD. The wire has a diameter of 0.27 in. Determine the load P if the end C is displaced 0.075 in. downward.arrow_forwardI Review The linkage is made using two A992 steel rods, each having a circular cross section of diameter 2- in. 12 ft 9 t Assume that the rods are pin connected at their ends. Use a factor of safety with respect to buckling of 1.8. Part A Determine the largest load it can support without causing any rod to buckle. Express your answer to three significant figures and include appropriate units. Ti HẢ P = Value Units Submit Request Answerarrow_forward
- What is 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 =76 MPa. Select 3m 2m one: 10.65 A kN O 8.49 kN 5 m 5.05 kN O 3.84 kN O 14.03 kNarrow_forwardSelect the lightest W shape that will act as a column of 7 m long with both end hinged and support an axial load of12KN with the safety factor of 2.2, assume the proportional limit for steel is 200 Mpa and E=208 Gpaarrow_forwardThe ultimate stress for a hollow steel column which carries an axial load of 1.9MN is 480N/mm if the external diameter of the column is 200mm determine the internal diameter. Take the factor of safety as 4arrow_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_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_forwardGrant Kiehl - Emch213 4. 1-93. The rods AB and CD are made of steel. Determine their smallest diameter so that they can support the dead loads shown. The beam is assumed to be pin connected at A and C. Use the LRFD method, where the resistance factor for steel in tension is ø = 0.9, and the dead load factor is yp = 1.4. The failure stress is ofail = 345 MPa. 6 KN 5 kN 4 kN - 2 m -- 2 m- 3 m 3 marrow_forward
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Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License