A column is made of steel and concrete, if the normal forces on steel and concrete are 6.8kip and 145kip and the allowable stresses of steel and concrete are 36ksi and 5.5ksi, and the cross sectional areas of steel and concrete are 0.3068in^2 and 45.5456in^2, determine whether the still or concrete will fail when given a yield factor of safete of 1.69
A column is made of steel and concrete, if the normal forces on steel and concrete are 6.8kip and 145kip and the allowable stresses of steel and concrete are 36ksi and 5.5ksi, and the cross sectional areas of steel and concrete are 0.3068in^2 and 45.5456in^2, determine whether the still or concrete will fail when given a yield factor of safete of 1.69
To determine whether steel or concrete will fail for the given load and allowable stresses.
Given,
Normal force on steel, say Fs = 6.8 kip
Normal force on concrete, say Fc = 145 kip
Allowable stress of steel, = 36 ksi
Allowable stress of concrete, = 5.5 ksi
Cross-sectional area of steel, As = 0.3068 in2
Cross-sectional area of concrete, Ac = 45.5456 in2
Factor of safety for yielding of steel, FS = 1.69
In order to determine which of the material i.e. steel or concrete will fail, we need to determine the normal stresses in steel and concrete. Then comparing the normal stresses to the allowable stresses we can ascertain which material will fail.
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