For the commonly used cross-sections such as Circular, I-section, T-section, H section, this Area calculator tool will help you find the cross-sectional area.
Area of Cross-section of a Circular shaft

Area of Cross-section of an I-Section

Area of Cross-section of a T-Section

Area of Cross-section of H-Section

Formulas for the above commonly used Cross-sections are given here.
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