Question 7 ( 3 ptş): A Foley catheter is an indwelling urinary catheter. The catheter has an inflatable mechanism to keep the catheter staying inside the bladder. A small, non-inflatable tube connects to the balloon section (the exit is visible in yellow while the tube itself is not visible as it is embedded within the larger urine drainage tube). Assume the tubing section of the inflatable mechanism has an outer diameter 2 mm and wall thickness 0.5 mm. The balloon section has an outer diameter at 40 mm and the wall thickness at 0.1 mm when inflated with water. a) For the tubing section of the inflatable wechanism, calculate the maximum σ θθ

with an inflation pressure of 1KPa(1pt) b) Calculate σ θθ

in the balloon section of the inflatable mechanism (1 pt) c) Calculate ε θθ

in the balloon section of the inflatable mechanism, assuming LEHI material properties with E=50 MRa and ν=0.33(1pts) ?

A Foley catheter is an indwelling urinary catheter that has an inflatable mechanism to keep it inside the bladder. The catheter consists of two sections: the tubing section and the balloon section.

a) For the tubing section of the inflatable mechanism, the question asks us to calculate the maximum stress, σθθ, with an inflation pressure of 1KPa. To calculate this, we need to use the formula for stress, which is defined as the force divided by the cross-sectional area. The cross-sectional area of the tubing section can be calculated using the formula for the area of a hollow cylinder: A = π(r^2 - R^2), where r is the outer radius and R is the inner radius. In this case, the outer diameter of the tubing section is given as 2 mm, so the outer radius is 1 mm.

Again, we can use the formula for the area of a hollow cylinder to calculate the cross-sectional area. c) Finally, the question asks us to calculate the strain, εθθ, in the balloon section assuming LEHI material properties with E=50 MRa and ν=0.33. To calculate the strain, we can use the formula ε = σ/E, where σ is the stress and E is the modulus of elasticity. In summary, the question asks us to calculate the maximum stress, σθθ, in the tubing section and the balloon section of a Foley catheter, as well as the strain, εθθ, in the balloon section.

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