Analysis of RCC Deep Beam by Considering Shear Effect

The present study deals with analysis of deep beams using Euler's elementary beam theory and Timoshenko method. The analysis of variation of flexural and normal shear stresses for different l/d ratio was performed. Validation of lever arm obtained from Timoshenko method with the IS code recommendations for deep beams for different l/d ratio was done. After analysis it was observed that the deep beam action is seen at l/d = 4 which is less than the specified value l/d = 2. From the variation of strain component 'u' it is clear that variation of 'u' through the depth is non linear for l/d ratio less than or equal 4. From the variation of strain component 'v', it is observed that the maximum value of 'v' through the depth is at top of the fiber which linearly decreases along the depth and the value of 'v' decreases with decrease in l/d ratio. From flexural stresses variation it is clear that as the l/d ratio decreases, neutral axis start shifting towards the bottom face of the beam section. Bending stress variation is non linear when l/d ratio is less than or equal to 4. This shows that bending theory is not applicable for deep beams. It is observed that Shear effect is more in beams having l/d ratio less than or equal to 4. So we can conclude that analysis done by Timoshenko theory provides more realistic behavior of beam sections having more depth.