Concept:
In an over-reinforced beam, the percentage of steel is greater than the balanced reinforcement.
As loading increases,
• Concrete in compression reaches its crushing strain before the steel yields.
• Failure occurs suddenly by crushing of concrete.
This mode of failure is known as secondary compression failure.
Step 1: Understand the behaviour of an over-reinforced beam.
Since excessive steel is provided,
\[
\rho>\rho_{bal},
\]
the neutral axis shifts upward and concrete reaches its limiting strain first.
Step 2: Identify the mode of failure.
The beam fails due to crushing of concrete before yielding of steel.
Hence,
\[
\boxed{\text{Secondary compression failure}.}
\]
Therefore, the correct option is
\[
\boxed{(B)\;\text{Secondary compression failure}.}
\]