A splitting tensile test is performed on a cylinder of diameter D and length L. If the ultimate load is P, then splitting tensile strength of the concrete is given by
- AP/ πDL
- B2P/ πDLCorrect
- C4PL/ πDL
- D4PD/ πL³
Solution
Concept
Splitting Tensile Strength of Concrete
Formula
2P / (πDL)
Step-by-step solution
1. Identify the given values for ultimate load (P), diameter (D), and length (L). 2. Substitute the values into the formula: Tensile Strength = (2 × P) / (π × D × L). 3. Calculate the final value to obtain the splitting tensile strength.
Explanation
In a splitting tensile test, a cylindrical concrete specimen is loaded in compression along its length until it splits. The theoretical formula used to calculate the splitting tensile strength of the concrete from the ultimate applied compressive load (P), diameter (D), and length (L) is 2P / (πDL). Option B correctly states this standard formula.
Shortcut
Remember the phrase "2 P over Pi-D-L" (2P / πDL): splitting a cylinder requires doubling the load (2P) divided by its longitudinal cross-sectional area factor (πDL).
Common mistake
A common mistake is selecting Option A (P/πDL) by forgetting the multiplier of 2, confusing the splitting tensile strength formula with simple average stress (load divided by projected area). Another frequent error is confusing the arrangement of D and L in the denominator.
Correct answer: B) 2P/ πDL