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Problem 4 (30 pts): Deflection A diving board is simply supported with an overhang portion from...
Problem 4 (30 pts): Deflection A diving board is simply supported with an overhang portion from...
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...
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...
A diving board is simply supported with an overhang portion from C to B. A diverstanding...
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 f 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 SXSL) W ΕΙ h=2.5 int B le b-17 in- 1/3 (a) Use the method of integration to determine...
Problem Statement: Two designs for a diving board are shown in the figures below. A diver...
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...
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...
General Physics Problem 4: At a local swimming pool, the diving board is elevated h =...
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 =...
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...
Problem 2) Use the method of superposition to determine V, (the deflection of point B) of...
Problem 2) Use the method of superposition to determine V, (the deflection of point B) of the pictured 8-m long steel beam. The beam experiences a clockwise moment at point A, MA = 80KN m, and a distributed load, w = 40 kN/m acting upwards along the beam from point B to point C. The elastic modulus of steel is E = 200 GPa and the moment of inertia for this beam is 12 = 150 106 mm*. The specific...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
Matlab problem! Description The deflection of a cantilevered beam with a point load is Wx2 :),...
Matlab problem!
Description The deflection of a cantilevered beam with a point load is Wx2 :), 0<xsa Wa? ATT (3x-a), a SXSL where E= Young's Modulus (psi) I=moment of inertia (in^4) L = Length (in) a=location of point load (in) W = load (lbf)- Objectives We wish to study the deflection as function of x for a given set of system parameters.--To- accomplish this task, we will create two separate M-files. M-file-1 This function-M-file should generate a plot of y...
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 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...
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 f 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 SXSL) W ΕΙ h=2.5 int B le b-17 in- 1/3 (a) Use the method of integration to determine...
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...
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...
Problem 2) Use the method of superposition to determine V, (the deflection of point B) of the pictured 8-m long steel beam. The beam experiences a clockwise moment at point A, MA = 80KN m, and a distributed load, w = 40 kN/m acting upwards along the beam from point B to point C. The elastic modulus of steel is E = 200 GPa and the moment of inertia for this beam is 12 = 150 106 mm*. The specific...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
Matlab problem!
Description The deflection of a cantilevered beam with a point load is Wx2 :), 0<xsa Wa? ATT (3x-a), a SXSL where E= Young's Modulus (psi) I=moment of inertia (in^4) L = Length (in) a=location of point load (in) W = load (lbf)- Objectives We wish to study the deflection as function of x for a given set of system parameters.--To- accomplish this task, we will create two separate M-files. M-file-1 This function-M-file should generate a plot of y...
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