A diving board is simply supported with an overhang portion from C to B. A diverstanding...
Problem 4 (30 pts): Deflection A diving board is simply supported with an overhang portion from C to B. A diverstanding at the free end B has weight W = 205 lb. Assume the diving board has constant properties El with length L=8 fi and E = 10,000 ksi. Use these bending moment equations to answer the questions below: M(x) = -2Wx (0 SX S1/3) M2(x) = Wx - WL, (L/3 SX SL) W ΕΙ h-2.5 in. B kb 17...
Problem 4 (30 pts): Deflection A diving board is simply supported with an overhang portion from C to B. A diver standing at the free end B has weight W = 205 lb. Assume the diving board has constant properties El with length L = 8 ft and E = 10,000 ksi. Use these bending moment equations to answer the questions below: M(x) = -2Wx, (0 < x < 1/3) M2(x) = Wx-WL , (L/ 3XL) W y EI A...
Problem 4 (30 pts): Deflection A diving board is simply supported with an overhang portion from C to B. A diver standing at the free end B has weight W = 205 lb. Assume the diving board has constant properties El with length L = 8 ft and E = 10,000 ksi. Use these bending moment equations to answer the questions below: M(x) = -2Wx, (0 < x < 1/3) M2(x) = Wx-WL , (L/ 3XL) W y EI A...
Question 2. Determine the displacement, in millimetres, and the rotation, in degrees, at the free end of the beam. E = 200 GPa and I = 512 x 10 mm. Use the tables in the back of the book (Appendix D, page 821). 69.9 KN 102 kNem 3.5m 3.5m Cantilevered Beam Slopes and Deflections Slope Deflection Elastic Curve ...PZ 2ΕΙ -PL 3EI -Px2 -(3L - x) 6E7 Uma P -Pr? 0 SXsL/2 2 (3L – 2x) 12 EI -PZ SEI...
Problem Statement: Two designs for a diving board are shown in the figures below. A diver umping 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. Assume the board is 60 cm wide. 1500 N Strap provides 2.0-- 3.0 simple support Diving board Pipe roller (a) 1500 N Rigid clamp block 2.0 m- -3.0 m Diving...
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...
A beam ABC with an overhang from B to C is constructed of a C 10 x 30 channel section (see figure). The beam supports its own weight (30 lb/ft) plus a uniform load of intensity q acting on the overhang. The allowable stresses in tension and compression are 18 ksi and 12 ksi, respectively. Determine the allowable uniform load qallow (lb/ft) if the distance L equals 3.0 ft. The moment of inertia, I = 3.94 in4.
In Appendix C, see the simply supported beam with a uniformly distributed load. Be careful with units and the sign convention. For this calculation, the overhung part of the beam from C to D can be ignored, and the beam is treated as a simply supported beam of length 2L1. Be careful with units and the sign convention. The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [ E = 200 GPa; I = 351...
General Physics Problem 4: At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of vo = 4.8 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver's initial motion, and the vertical y-axis pointing up....
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...