Determine the buckling strength of a W 12 x 50 column with a length of 25 ft. For the major axis cross section (x), consider the beam to be pinned at both ends, and for the minor axis (y), consider the beam to be pinned at one end, and fixed at the other end.

Determine the buckling strength of a W 12 x 50 column with a length of 25 ft. For the major axis cross section (x), consider the beam to be pinned at both ends, and for the minor axis (y), consider the beam to be pinned at one end, and fixed at the other end.

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 11.5.1P: An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Determine the buckling strength of a W 12 x 50 column with a length of 25 ft. For the major
axis cross section (x), consider the beam to be pinned at both ends, and for the minor axis (y),
consider the beam to be pinned at one end, and fixed at the other end.

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Step 1: Introduction

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Step 2: Critical load for buckling about y - axis

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Step 3: Critical load for buckling about x - axis

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Step 4: Buckling strength

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