A column with both ends pinned is 3 m long and has a tubular section with an outer diameter of 30 mm and wall thickness of 5 mm. Find which material given in Tables A.1 through A.4 produces the highest buckling load. Also, give the buckling loads for AISI 1080 steel (quenched and tempered at 800C), aluminum alloy 2014, and molybdenum

A column with both ends pinned is 3 m long and has a tubular section with an outer diameter of 30 mm and wall thickness of 5 mm. Find which material given in Tables A.1 through A.4 produces the highest buckling load. Also, give the buckling loads for AISI 1080 steel (quenched and tempered at 800C), aluminum alloy 2014, and molybdenum

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.16P: An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with...

See similar textbooks

Similar questions

Rigid column ABCD has an elastic support at B with translational stiffness ß. Find an expression for the critical load Pcrof the column.
Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.
A fixed-end column with circular cross section is acted on by compressive axial load P. The IS-ft-long-column has an outer diameter of 5 in., a thickness of 0.5 in., and is made of aluminum with a modulus of elasticity of 10,000 ksi. Find the buckling load of the column.
An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic connection at C with stiffness ßR. The column has a roller support at B and a pin support at D. Find an expression for the critical load Pcr of the column.
A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.
The figure shows an idealized structure consisting of two rigid bars with pinned connections and linearly elastic rotational springs. Rotational stiffness is denoted ßR. Determine the critical load Pcrfor the structure.
A wide-flange steel column (E = 30 × l06 psi) of W12 × 87 shape (see figure) h as a length L = 28 ft. It is supported only at the ends and may buckle in any direction. Calculate the allowable load Pallowbased upon the critical load with a factor of safety n = 2.5. Consider the following end conditions: (a) pinned-pinned, (b) fixed-free, (c) fixed-pinned, and (d) fixed-fixed.
An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRIat C. There is a roller support at B and an elastic support at D with translationa1 spring stiffness ß and rotational stiffness ßR2. Find the critical buckling loads for each of the two buckling modes of the column. Assume that L = 3 m, ß = 9 kN/m, and ßR]= ßR1= ßL2. Sketch the buckled mode shapes.
A long slender column ABC is pinned at ends A and C and compressed by an axial force F (sec figure). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W 250 × 67) with E = 200 GPa. The distance between lateral supports is L = 5.5 m. Calculate the allowable load P using a factor of safety n = 2.4, taking into account the possibility of Eu 1er buckling about cither principal centroidal axis (i.e., axis 1-1 or axis 2-2).
An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRat C. There is an elastic support at B with translational spring stiffness ß and a pin support at D. Find the critical buckling loads for each of the two buckling modes of the column in terms of ßL. Assume that ßR= ßL2. Sketch the buckled mode shapes.
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
Calculate the critical load PCTfor a W 8 × 35 steel column (see figure) having a length L = 24 ft and E = 30 × 106 psi under the following conditions: The column buckles by bending about its strong axis (axis 1-1). the column buckles by bending about its weak axis (axis 2-2). In both cases, assume that the column has pinned ends.