Designing a Simply Supported RCC Beam for Concentrated Live Loads

Introduction

When designing a simply supported RCC beam for concentrated live loads, it is essential to consider various factors such as the span of the beam, the magnitude and location of the loads, the concrete grade, and the reinforcement type. In this case, we are tasked with designing a simply supported RCC beam with a span of 8m for three concentrated live loads of 20kN, 60kN, and 20kN acting at specific locations along the span.

Design Process

To design a simply supported RCC beam of span 8m for three concentrated live loads of 20kN, 60kN, and 20kN acting at l/3, l/2, and 3l/4 from one end of the beam respectively, the beam needs to be designed by calculating the maximum bending moment, shear force, and deflection. The design should be verified against the relevant design codes and standards.

Explanation

To design a simply supported RCC beam of span 8m for three concentrated live loads of 20kN, 60kN, and 20kN acting at l/3, l/2, and 3l/4 from one end of the beam respectively, the following steps can be followed:

1. Calculate the reactions at the supports using the principles of statics.
2. Calculate the maximum bending moment at the critical sections of the beam using the principles of structural analysis.
3. Calculate the maximum shear force at the critical sections of the beam using the principles of structural analysis.
4. Check the deflection of the beam to ensure it meets the specified limits.
5. Select an appropriate beam size and reinforcement based on the calculated bending moment and shear force.

Based on the given information, the design of the simply supported RCC beam can be carried out using the principles of structural analysis and the relevant design codes and standards.