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Example 4:Flexural stress calculation using transformed area method

assume the section for beam shown in figure 1 cracked calculate the flexural stresses for the given load or moment using transformed area method.

Figure 1

Transform area=As*n
Transform area=4*9=36in2

location of the neutral axis shall be calculated by equalling moment of area from both parts as shown in figure 2

X=10.9 in

now we will calculate the moment of inertia using parallel axis theorem 

flexural stress at extreme compression fiber where y=10.9in=0.908ft


flexural stress at the center of reinforcing bars where y=16.1in=1.34ft


Figure 2


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