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Example 3: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=As*n
Transform Area=6*8=48in2

neutral axis location as shown in figure 2

moment of inertia

Figure 2

the figure no 3 showing the shear and moment diagram for the beam in this example. from moment diagram. maximum moment =400 k-ft

Figure 3

flexural stress at extreme compression. y=10.30 in=0.86ft

flexural stress at cetner of reinforcing steel. y=17.70 in=1.475ft


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