Answer:
Yes, fracture will occur
Explanation:
Half length of internal crack will be 4mm/2=2mm=0.002m
To find the dimensionless parameter, we use critical stress crack propagation equation
and making Y the subject

Where Y is the dimensionless parameter, a is half length of crack, K is plane strain fracture toughness,
is critical stress required for initiating crack propagation. Substituting the figures given in question we obtain

When the maximum internal crack length is 6mm, half the length of internal crack is 6mm/2=3mm=0.003m
and making K the subject
and substituting 260 MPa for
while a is taken as 0.003m and Y is already known

Therefore, fracture toughness at critical stress when maximum internal crack is 6mm is 42.455 Mpa and since it’s greater than 40 Mpa, fracture occurs to the material
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Explanation:
The tallest tower is Burj Khalifa (828 metres) and the shortest is the Bratislava UFO (95 metres).
Answer:
the reduction in the heat gain is 2.8358 kW
Explanation:
Given that;
Shaft outpower of a motor
= 75 hp = ( 75 × 746 ) = 55950 W
Efficiency of motor
= 91.0% = 0.91
High Efficiency of the motor
= 95.4% = 0.954
now, we know that, efficiency of motor is defined as;
=
/
where
is the electric input given to the motor
so
=
/
we substitute
= 55950 W / 0.91
= 61483.5 W
= 61.4835 kW
now, the electric input given to the motor due to increased efficiency will be;
=
/
we substitute
= 55950 W / 0.954
= 58647.79 W
= 58.6477 kW
so the reduction of the heat gain of the room due to higher efficiency will be;
Q =
-
we substitute
Q = 61.4835 kW - 58.6477 kW
Q = 2.8358 kW
Therefore, the reduction in the heat gain is 2.8358 kW