Topic: Strength of Materials
Shaft AB is 3 meter long and its free at the left end and fixed torsionally at the right end. It is subjected to variable torque as shown in the figure. The intensity of the torsional loading is given by q = 2x. The internal torque T, as a function of x is
- A. T = x²
- B. T = 2x^2
- C. T = 4x^2
- D. T = 16x^2
Answer: A. T = x²
Explanation: The internal torque T at a cross-section located at distance x from the free end is obtained by integrating the intensity of the distributed torsional load q with respect to x. Since q = 2x, the torque function is T = integral(2x dx) = 2x^2 / 2 = x².