M20 concrete as per IS 456: 2000 refers to concrete with a design mix having
Step 1: Understanding M20 concrete.
The designation M20 in IS 456:2000 indicates that the characteristic compressive strength of the concrete is 20 MPa.
Step 2: Definition of characteristic strength.
As per IS 456, the characteristic strength of concrete is defined as the strength of material below which not more than 5% of the test results are expected to fall.
This means the characteristic strength is a 5th percentile strength value, not an average.
Step 3: Specimen type.
In India, compressive strength is tested using 150 mm cubes, not cylinders (cylinders are more common in US/Europe). Hence the reference is to cube strength.
Step 4: Conclusion.
Therefore, M20 concrete refers to a mix having a 5-percentile cube strength of 20 MPa.
\[
\boxed{\text{M20 concrete has a 5-percentile cube strength of 20 MPa.}}
\]
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of 800 mm\(^2\) area at an effective cover of 40 mm. Consider M20 concrete and Fe415 steel. Let the stress block considered for concrete in IS 456:2000 be replaced by an equivalent rectangular stress block, with no change in (a) the area of the stress block, (b) the design strength of concrete (at the strain of 0.0035), and (c) the location of neutral axis at flexural collapse.
The ultimate moment of resistance of the beam (in kN.m) is ___________ (round off to the nearest integer).
Consider the beam section shown in the figure, with \( y \) indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that \( y = 18.75 \, {mm} \), when the section has not yielded at the top and bottom fibres. Further, \( y \) decreases to 5 mm, when the entire section has yielded. The shape factor of the section is ........ (rounded off to 2 decimal places).

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:
1. \( P<Q \)
2. \( S>P>T \)
3. \( R<T \)
If integers 1 through 5 are used to construct such a number, the value of P is:


