Homework Answers
Given data:-
Beam effective depth (d) = 18"
Beam width (b) = 14"
Area of steel (As) = 4.68 in2
f'c = 5 ksi
fy = 75 ksi
Determine :- Cracked moment of inertia
Assumed modular ratio (n) = 9
We know that location of neutral axis of singly reinforced beam is given by as
----------------------------------Eq.1
Put all knowing data in Eq.1
Solving above equation and calculeting location of neutral axis (x)
Location of neutral axis (x) = 7.82 inch
Cracked moment of inertia of singly reinforced beam is given by
---------------------------------------Eq.2
Where b = 14"
n =9
As= 4.68 in2
x = 7.82 inch
d = 18"
Put all data in Eq.2
Ans.
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