Calculate the average pressure at the bottom of the women’s high-heeled dress shoe and a women’s athletic walking shoe.
Answer to Problem 15P
The average pressure at the bottom of the women’s high-heeled dress shoe is
The average pressure at the bottom of the women’s athletic walking shoe is
Explanation of Solution
Given information:
Weight of the women is
Calculation:
The weight of the women is carried by both shoes. Hence, the weight (Force) acting on each shoe is as follows:
Sketch the profile of high-heeled dress shoe in inches as shown in Figure 1.
Refer to Figure 1.
The profile of contact area is divided into two equal parts and each part is divided into 8 trapezoids of equal heights.
Consider the area of top portion as
Apply trapezoidal rule as shown below.
Calculate the area of top portion
Calculate the area of bottom portion
Calculate the total area of high-heeled dress shoe as shown below.
Substitute
Calculate the average pressure at the bottom of high-heeled dress shoe as shown below.
Substitute
Hence, the average pressure at the bottom of the women’s high-heeled dress shoe is
Sketch the profile of athletic walking shoe in inches as shown in Figure 2.
Refer to Figure 2.
The profile of contact area is divided into two equal parts and each part is divided into 12 trapezoids of equal heights.
Consider the area of top portion as
Calculate the area of top portion
Calculate the area of bottom portion
Calculate the total area of athletic walking shoe as shown below.
Substitute
Calculate the average pressure at the bottom of athletic walking shoe as shown below.
Substitute
Therefore, the average pressure at the bottom of the women’s athletic walking shoe is
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