The famous Leaning Tower of Pisa is built of stone. The body of the tower is...

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The famous Leaning Tower of Pisa is built of stone. The body of the tower is shaped like a circular tube with outer radius R, inner radius r and length L as shown in the attached picture. The stone structure is designed in such a way that it cannot withstand traction. Calculate the maximum possible tilt angle a of the tower, which is assumed to be small. a) Draw a picture showing the coordinate system, dimensions, and the force acting on the structure and its location. (1 p.) b) Derive the symbolic equation of the angle. (3 p.) c) Solve for the numerical value of the angle in degrees. (1 p.) Instructions: Describe the tower as a cantilever beam of uniform thickness and look at the point where the normal stress at the support reaches the minimum value. The self-weight (G) of the structure does not affect the result. Campanile di Pain Clevazione e Spacate R r: 5.5 m L R: 7.5 m L=56.4 m The famous Leaning Tower of Pisa is built of stone. The body of the tower is shaped like a circular tube with outer radius R, inner radius r and length L as shown in the attached picture. The stone structure is designed in such a way that it cannot withstand traction. Calculate the maximum possible tilt angle a of the tower, which is assumed to be small. a) Draw a picture showing the coordinate system, dimensions, and the force acting on the structure and its location. (1 p.) b) Derive the symbolic equation of the angle. (3 p.) c) Solve for the numerical value of the angle in degrees. (1 p.) Instructions: Describe the tower as a cantilever beam of uniform thickness and look at the point where the normal stress at the support reaches the minimum value. The self-weight (G) of the structure does not affect the result. Campanile di Pain Clevazione e Spacate R r: 5.5 m L R: 7.5 m L=56.4 m