BIIn Figure 6, column BD has a square cross section.It is pinned at B and fixed against rotation at D.However, there is no restraint on the horizontaldisplacement of point D. Derive a symbolic formulafor the critical load of column BD, as a function ofE (the Young's modulus of the material that makescolumn BD), I (the moment of inertia of the crosssection of BD) and L (the length of column BD).10 in.--40 in.-45 in.35 in.0.625 in.0.625 in.E

Solution: Given Data: To Find: The formula for the critical load of column BD.

B In Figure 6, column BD has a square cross section. It is pinned at B and fixed against rotation at D. However, there is no restraint on the horizontal 10 in. 40 in.- displacement of point D. Derive a symbolic formula for the critical load of colunmn BD, as a function of E (the Young's modulus of the material that makes column BD), I (the moment of inertia of the cross section of BD) and L (the length of column BD). 45 in. 35 in. 0.625 in. 0.625 in. D

B In Figure 6, column BD has a square cross section. It is pinned at B and fixed against rotation at D. However, there is no restraint on the horizontal 10 in. 40 in.- displacement of point D. Derive a symbolic formula for the critical load of colunmn BD, as a function of E (the Young's modulus of the material that makes column BD), I (the moment of inertia of the cross section of BD) and L (the length of column BD). 45 in. 35 in. 0.625 in. 0.625 in. D

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 11.2.11P: The figure shows an idealized structure consisting of an L-shaped rigid bar structure supported by...

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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

BI
In Figure 6, column BD has a square cross section.
It is pinned at B and fixed against rotation at D.
However, there is no restraint on the horizontal
displacement of point D. Derive a symbolic formula
for the critical load of column BD, as a function of
E (the Young's modulus of the material that makes
column BD), I (the moment of inertia of the cross
section of BD) and L (the length of column BD).
10 in.-
-40 in.-
45 in.
35 in.
0.625 in.
0.625 in.
E

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