Relation between radius of curvature bending moment and flexural rigidity
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Consider the bending formula below.
M / I = E / R
Making R the subject of the formula we have
R = EI / M
Where EI is the Flexural rigidity
R the radius of curvature
M the Bending moment
From this equation we can conclude that
Since M,E and I are constants ,R is also a constant.
Therefore Radius of curvature is at any point of the elastic curve of a beam is directly proportional to the flexural rigidity EI and inversely proportional to the bending moment.
M / I = E / R
Making R the subject of the formula we have
R = EI / M
Where EI is the Flexural rigidity
R the radius of curvature
M the Bending moment
From this equation we can conclude that
Since M,E and I are constants ,R is also a constant.
Therefore Radius of curvature is at any point of the elastic curve of a beam is directly proportional to the flexural rigidity EI and inversely proportional to the bending moment.
Answered by
33
Answer:
Explanation:
Consider the bending formula below.
M / I = E / R
Making R the subject of the formula we have
R = EI / M
Where EI is the Flexural rigidity
R the radius of curvature
M the Bending moment
From this equation we can conclude that
Since M,E and I are constants ,R is also a constant.
Therefore Radius of curvature is at any point of the elastic curve of a beam is directly proportional to the flexural rigidity EI and inversely proportional to the bending moment.
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