Problem 2 (30 points): Bored at the swimming pool and without enough solid mechanics to occupy their minds over the summer, engineering students analyze a diving board made from a 50mm x 300 mm wood...
Problem 2 (30 points): Bored at the swimming pool and without enough solid mechanics to occupy their minds over the summer, engineering students analyze a diving board made from a 50mm x 300 mm wood plank. The diving board is held down at end A by anchor bolts that can be considered as a pinned support. a) Draw the Shear and bending moment diagram for the beam (10 points) b) What maximum permissible load, Pmax, can be exerted on the beam by a diver if the allowable flexural stress in the wood is ơallow-11 MPa? Consider P to be a static load (neglect the effects of the diver bouncing on the end of the board). (10 points) c) What is the maximum deflection between points A and B due to this load? Use 12 GPa as the Young's modulus for wood. (10 points) 50 mm 300 mm 1 m
Problem 2 (30 points): Bored at the swimming pool and without enough solid mechanics to occupy their minds over the summer, engineering students analyze a diving board made from a 50mm x 300 mm wood plank. The diving board is held down at end A by anchor bolts that can be considered as a pinned support. a) Draw the Shear and bending moment diagram for the beam (10 points) b) What maximum permissible load, Pmax, can be exerted on the beam by a diver if the allowable flexural stress in the wood is ơallow-11 MPa? Consider P to be a static load (neglect the effects of the diver bouncing on the end of the board). (10 points) c) What is the maximum deflection between points A and B due to this load? Use 12 GPa as the Young's modulus for wood. (10 points) 50 mm 300 mm 1 m