A beam 6 m long rests on two supports with equal overhangs on either side and carries a u.d.l. of $30 \mathrm{kN} / \mathrm{m}$ run over the entire length. Calculate the length of overhangs if the maximum bending moment is to be as small as possible. Draw the BMD and SFD indicating all salient values.
Explanation
The length of overhangs is given by the formula x = (M_max * L) / (w * L^2). The BMD is a parabolic curve with a maximum value of M_max = x * w * L^2. The SFD is a triangular curve with a maximum value of V_max = w * L.
⬆ Related Topic
📘 Syllabus
View KERALA UNIVERSITY Class 3 Syllabus →
📝 Practice Questions
Practice Previous Year Questions →
🤖 Practice with AI
Generate Practice Question Paper →
📚 Related Concepts
- (a) List down any four key characteristics of Light Rail Transit System (LRT).
- (i) Ruling gradient (ii) Pusher gradient (iii) Momentum gradient (iv) Grade compensation on curves
- (c) What is meant by interlocking of signals and points? List down any three essential regulations.
- (d) Describe the operation of centralized train control system (CTC).
- (e) What are the important wave characteristics? Write down the inter- relationship among these characteristics.