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Example 2:Flexural stress calculation using transformed area method for rectangular beam

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=n*As
As=4*.79=3.16 in2
Transform area=3.16*10=31.6in2

now we will determine the location of the neutral axis as shown in figure 2

X=7.32 in

moment of inertia using parallel axis theorem 

now we will calculate the moment applied to beam
Maximum moment for simply supported beam

now we will calculate flexural stress at extreme compression fiber. y=7.32 in =0.61ft


now we will calculate flexural stress at center of reinforcing steel. y=10.18 in =0.85ft

Figure 2


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