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J. B. Johnson formula
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Design of Machine Elements - 1
Q. Which formula is used if slenderness ratio L
e
/ K < X, where X = √ ( 2π
2
E / S
yc
)?
- Published on 14 Sep 15
a.
Euler's formula
b.
J. B. Johnson formula
c.
Rankine formula
d.
None of the above
ANSWER: J. B. Johnson formula
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Discussion
Sravanthi
-Posted on 30 Oct 15
1) J. B. Johnson formula
- J. B. Johnson formula is used for short and moderate columns.
- If slenderness ratio ( L
e
/ K) < X, then the column is short and J. B. Johnson formula is used.
- X = √ ( 2π
2
E / S
yc
)
2) Euler's formula
- If slenderness ratio ( L
e
/ K) > X, then the column is long and Euler's formula is used.
- Euler formula: P
cr
= (π
2
E A) / ( L
e
/ K)
2
➨
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