Step by step, he followed Khurmi’s method. First, find the reaction. Then the shear force diagram. Then the maximum bending moment at the fixed end. He calculated the moment of inertia for a square section. Then the section modulus. Then stress.
He closed the book and looked at the worn cover: R. S. Khurmi – Strength of Materials . Underneath, in faded letters: “For B.E., B.Tech., and Competitive Exams.”
“Come on, Khurmi saab,” Arjun whispered, flipping to Chapter 6: Shear Force and Bending Moment Diagrams . R S Khurmi Strength Of Materials
And then, in a small note at the bottom of a page—something he’d skipped for months—Khurmi had written in italics: “In practical design, stress concentration at the fixed support often doubles the nominal stress. Always check the joint detail.”
He paused. The number was high—too high for mild steel. Step by step, he followed Khurmi’s method
“Factor of safety,” he muttered, and flipped to Chapter 14: Theories of Failure .
Arjun froze. He had assumed a perfect weld. But his actual support had a sharp internal corner—a classic stress raiser. He added the stress concentration factor from Table 14.3. The theoretical stress doubled. Then he applied the factor of safety. The beam would fail at 80% of the rated load. Then the maximum bending moment at the fixed end
Arjun had always hated this book. It was too thick, too dry, and the problems were sadistically progressive—just when you understood simple tension, it hit you with compound stress and principal planes . But tonight, desperation forced respect.
The tube light buzzed. The beam, in his notebook, stood strong.