MAXIMUM SLANDERNESS RATIO, STRENGTH OF AXIAL COMPRESSION MEMBER AND MAXIMUM PERMISSIBLE STRESS REQUIRED AT THE TIME OF DESIGN OF COMPRESSION MEMBER
1) Maximum slenderness ratio for compression members
The slenderness ration should not exceed the values given in
below table
Sr.no
|
Types of member
|
Maximum slenderness ratio
|
1
|
A member carrying compressive load from dead load and
super imposed load.
|
180
|
2
|
A member normally carrying tension but subjected to
reversal of stress due to earthquake or wind forces.
|
350
|
2) strength of axial compression member
the strength of axial compression member is given by
the below formula
\[{P_{ac} = ~A_{e}~X~σ_{ac}}~\] \[Where,\] \[P_{ac} = ~axial ~compressive ~load \] \[A_{e} = ~Effective ~Area \] \[σ_{ac} = ~permissible ~stress ~in ~axial ~compression~ \] \[~(which ~depends ~upon ~the ~slenderness ~ration ~and ~yield ~stress ~of ~steel) \]
\[{P_{ac} = ~A_{e}~X~σ_{ac}}~\] \[Where,\] \[P_{ac} = ~axial ~compressive ~load \] \[A_{e} = ~Effective ~Area \] \[σ_{ac} = ~permissible ~stress ~in ~axial ~compression~ \] \[~(which ~depends ~upon ~the ~slenderness ~ration ~and ~yield ~stress ~of ~steel) \]
3)maximum permissible stress in axial compression
its is one of the main formulas to remember at the time of
designing the compression member.
the maximum permissible stress in axial compression is
depends on the slenderness ratio and yield stress of the steel . every
expressions are discussed further in detail.
\[f_{cc} = {{π^2} X {E} \over {λ^2}}\] \[Where,\] \[λ = ~slenderness ~ratio\] \[E = ~modulus ~of ~elasticity \]
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