Using your answer from the problem above, find the dimensions of I in the equation 1²EI Рer L2 This equation describes the "critical load" for a column being compressed. If the applied force to the column reaches the critical load, the column will buckle, and fail. Each term means the same thing it did in the previous problem, except for , which is just the irrational number you're used to. It has no dimensions.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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2) Using your answer from the problem above, find the dimensions of I in the equation
T²EI
Pcr
L2
This equation describes the "critical load" for a column being compressed. If the applied
force to the column reaches the critical load, the column will buckle, and fail. Each term
means the same thing it did in the previous problem, except for t, which is just the
irrational number you're used to. It has no dimensions.
Transcribed Image Text:2) Using your answer from the problem above, find the dimensions of I in the equation T²EI Pcr L2 This equation describes the "critical load" for a column being compressed. If the applied force to the column reaches the critical load, the column will buckle, and fail. Each term means the same thing it did in the previous problem, except for t, which is just the irrational number you're used to. It has no dimensions.
In Mechanics of Materials, there are many equations that describe physical relationships
between materials, structural components, and the loads that are applied to them. The
following relationship
PL
8 =
AE
describes the elongation of a beam due to an axial load placed on it. For example, this
equation would apply when a column is being compressed. 8 is the elongation (a length),
P is the applied load (a force), L is the length of the member, A is the cross-sectional
area of the member (an area) and E is called the modulus of elasticity, a property of the
material that the object is made from. Use the equation to determine the dimensions of
E
Transcribed Image Text:In Mechanics of Materials, there are many equations that describe physical relationships between materials, structural components, and the loads that are applied to them. The following relationship PL 8 = AE describes the elongation of a beam due to an axial load placed on it. For example, this equation would apply when a column is being compressed. 8 is the elongation (a length), P is the applied load (a force), L is the length of the member, A is the cross-sectional area of the member (an area) and E is called the modulus of elasticity, a property of the material that the object is made from. Use the equation to determine the dimensions of E
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