Brian is a male professional ballet dancer who is looking for a new home. As a part of the decision-making process, you need determine the following:...

Brian is a male professional ballet dancer who is looking for a new home. As a part of the decision-making process, you need determine the following:

(i)The area in mm2 which Brian's feet take up on the floor.

(ii)The pressure Brian will place on the floor when he is practicing his pirouettes. 

(iii)The work that the floor has to do to stop Brian's leaps. 

(iv)The Live Load Q as per the Limit State Design Method for Brian's dance routines based on the assumed velocity of his movements and leaps.

Assumptions

Size of average male foot - 320 mm x 100 mm

Ball of male foot - 155 mm x 100 mm

Mass of average-sized male ballet dancer = 80 kg

Maximum velocity Brian can attain is 5.88* m/s and he attains this velocity in 4.5 seconds from a stopped position; generally, he can continue at this velocity of 5.88 m/s or greater for at least 20 seconds. 

Brian's leaps - 1.5 m above the ground and landing on the ball of one foot.

Maximum point loading is based on 1.8kN per 350 mm²

Floor capacity is 1.5kPa or 153kg/m²