Which of the following correctly represents Stephanie Saylor Foundat

Question 4 / 40: Which of the following correctly represents Euler's expression for the critical loading force at which bending begins for a long column? Here, E is Young's modulus, L_eff is a measure of column length, A is the cross-sectional area of the column, and I is the area moment of inertia.

A $$F_{cr} = EI \pi^2/L^2_{eff}$$

B $$F_{cr} = EI \pi^3/L^2_{eff}$$

C $$F_{cr} = EI /L^2_{eff}$$

D $$F_{cr} = EI \pi^2/L^3_{eff}$$

E $$F_{cr} = EI \pi^2/L_{eff}$$

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Explanation:

The value of L_eff depends upon the column length and the termination or boundary conditions for the column. You may wish to review the reading for sub-subunit 3.3.4.

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Mechanics I ME102

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/

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