VII. (Based on Example 13.2) The aluminum column is braced at its top by cables so as to prevent movement at the top along the x axis. If it is assumed to be fixed at its base, determine the largest allowable load P that can be applied. Use a factor of safety for buckling of F.S.-2.5. Take Eal-70 GPa, oy =210 MPa, A=7.5×10-³ m², Ix=60×106 m², I,=25×106 m². [10%] on 4 Pay Y 5.5 m Z

VII. (Based on Example 13.2) The aluminum column is braced at its top by cables so as to prevent movement at the top along the x axis. If it is assumed to be fixed at its base, determine the largest allowable load P that can be applied. Use a factor of safety for buckling of F.S.-2.5. Take Eal-70 GPa, oy =210 MPa, A=7.5×10-³ m², Ix=60×106 m², I,=25×106 m². [10%] on 4 Pay Y 5.5 m Z

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 11.4.1P: A fixed-end column with circular cross section is acted on by compressive axial load P. The...

See similar textbooks

Similar questions

A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The column has a length L = 4 m and is designed to support an axial load of 45 kN. Find the minimum required thickness of the section if the factor of safety n = 2.5 with respect to buckling. Assume that the modulus of elasticity is 72 GPa and the proportional limit is 480 MPa.
Determine the allowable axial load Pallowfor a steel pipe column that is fixed at the base and free at the top (see figure) for each of the following lengths: L = 6 ft, 9 ft, 12 ft, and 15 ft. The column has an outside diameter d = 6.625 in. and wall thickness t = 0.280 in, (Assume E = 29,000 ksi and y= 36 ksi.)
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 rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.
1. Determine the allowable load P the frame will support without causing the circular steel member BC of diameter d to buckle. (Use n = 2.5 and C = 1). Given E=200GPA, S-500 MPa. (check only for in-plane buckling). d=65 Im P d mm You will find d (in mm) given in the data sheet for cach student.
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 5
Pravinbhai
An L-2 steel link in a forging machine is pin connected to the forks at its ends as shown. Determine the maximum load Pit can carry without buckling. Use a factor of safety with respect to buckling of F.S. = 1.75. Note from the figure on the left that the ends are pinned for buckling, whereas from the figure on the right the ends are fixed. P P 1.5 in. 24 in. P P 0.5 in.
Use FBD to solve
The 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.
A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C L d Lateral B bracing L
Must answer all the questions.