Mechanics of Materials Project
1
ME 3120 Mechanics of Materials Summer 2014 Project 2 Two designs for a diving board are shown in the figures below. The diving board is 60 cm wide. A diver jumping at the end of the board exerts a force of 1500N. Assume in design (a) the strap provides a simple support, while in design (b) the rigid clamp block provides a cantilever support. (1) Compare the two designs with regard to the shearing force, bending moment, and deflection of the end. Express the deflection in terms of the beam stiffness EI. (2) For each of the proposed designs, complete the design by selecting/specifying the following: • Factor of safety • Material • Thickness of the board Justify any assumptions you make (3) Calculate the deflection and slope at the end of the board in each of your designs. How do they compare with what you may have seen in diving competitions? (b) (a) Rigid Clamp block Strap provides simple support 2.0m 2.0m 3.0m 3.0m 1500 N 1500 N Diving board Diving board Pipe roller Pipe roller
description
Mechanics of Materials Project
Transcript of Mechanics of Materials Project
ME 3120 Mechanics of Materials Summer 2014
Project 2 Two designs for a diving board are shown in the figures below. The diving board is 60 cm wide. A diver jumping at the end of the board exerts a force of 1500N. Assume in design (a) the strap provides a simple support, while in design (b) the rigid clamp block provides a cantilever support. (1) Compare the two designs with regard to the shearing force, bending moment, and deflection
of the end. Express the deflection in terms of the beam stiffness EI. (2) For each of the proposed designs, complete the design by selecting/specifying the following:
• Factor of safety • Material • Thickness of the board
Justify any assumptions you make (3) Calculate the deflection and slope at the end of the board in each of your designs. How do
they compare with what you may have seen in diving competitions?
(b)
(a)
Rigid Clamp block
Strap provides simple support
2.0m
2.0m 3.0m
3.0m1500 N
1500 N
Diving board
Diving boardPipe roller
Pipe roller
