Six step procedure for determining stresses in steel and concrete
In our article series for “Doubly reinforced Sections design guide”, we have covered the following:
Now we shall proceed with a simple 6 step procedure for determining compressive stresses in steel and concrete. Further in our next article, we shall also solve a numerical using the same method.
Generally, the following data is given for reference with the help of which we can determine the stresses in steel and concrete
Breadth of the beam = b
Effective depth of the beam = d
Area of tensile steel = Ast
Area of compressive steel = Asc
Modular raito = m
Bending moment = M
Six step procedure for determining the compressive stresses in steel and concrete:
Find x by using the following formula:
bx.x/2 + (1.5m – 1)Asc (x – d’) = mAst(d-x)
Find σcbc by:
σ’cbc = σcbc (x – d’)/x
Find Mr. Taking moments about tensile steel
Mr = bx σcbc/2 (d – x/3) + (1.5m – 1) Asc σcbc (d – d’)
Substitute the value of σ’cbc in terms of σcbc
Equate Mr to M and find σcbc
σcbc/ (σst/m) = x/(d – x)
σsc = 1.5m σcbc
Further, we shall solve a numerical using the above “six step procedure”.
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