For the column shown in Figure 2, determine the maximum load P if the factor of safety is 3. Thecolumn is fixed at the bottom (point A) and fixed at the top (point C). At point B, located exactlyhalfway between A and C, the column is braced in the y-direction.Given: E = 200 GPaOy = 500 MPaс7 m-20 mm350 mm10 mm20 mm300 mm X

To find: The maximum load P Given: Factor of safety (FOS)=3 E=200 GPa , σY=500 MPa

Answered: is fixed at the bottom (point A) and…

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is fixed at the bottom (point A) and fixed at the top (p between A and C, the column is braced in the y-direction

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 11.4.14P

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

For the column shown in Figure 2, determine the maximum load P if the factor of safety is 3. The
column is fixed at the bottom (point A) and fixed at the top (point C). At point B, located exactly
halfway between A and C, the column is braced in the y-direction.
Given: E = 200 GPa
Oy = 500 MPa
с
7 m-
20 mm
350 mm
10 mm
20 mm
300 mm X

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