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(3.7) For the stepped torsion bar below determine the ro- tation at the point of application...
The stepped bar shown below is fixed at point D. Section AB is made of a...
The stepped bar shown below is fixed at point D. Section AB is made of a malleable cast iron alloy [E = 15,000 ksi, v= (1/4), Suc = 100 ksi] and section BCD is made of aircraft-grade aluminum [E = 10,000 ksi, v= = (1/3), Sut = Suc = 60 ksi). CD is hollow with an internal diameter of 0.3 inch. Find: 10 kips a. the largest stress in the iron and the aluminum. А b. the change in length...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown. Let P 200 N, L 180 mm, L, = 80 mm, and Ls 40 mm. Compute the maximum stress due to bending and state where it occurs. Note: The bar is braced against lateral bending and twisting. 100 mm 140 mm 1CX) mm 140 mm 2P Flat plate r3 mm t8 mm typical 12 m 24 mm-36 mm 48 mm...
The assembly, shown below in Figure Q5, consists of three titanium rods and a rigid bar AC, which is horizontal prior to application of the load. The cross-sectional area of each rod is given in Figure Q5. A vertical force, P = 20 kN, is applied to the ri
The assembly, shown below in Figure Q5, consists of three titanium rods and a rigid bar AC, which is horizontal prior to application of the load. The cross-sectional area of each rod is given in Figure Q5. A vertical force, P = 20 kN, is applied to the ring, F, as shown. Given: Eti = 350 GPa. Determine the vertical displacement of point F.
Shown below is a crank with 5 kN load. Calculate the vertical deflection at the point...
Shown below is a crank with 5 kN load. Calculate the vertical deflection at the point of the load. The material properties are E = 2003 MPa, G= 80e3 MPa. Show which segment is going through bending and which bending + torsion. (Hint: Total external strain energy = 72 PS) 5 kN Uim= att S m² dx 400 mm с 500 mm UiT J ST² dx 10 mm x 40 mm Section B 40 mm dia.
Determine the relative displacement of point D from O for the elastic steel bar of variable...
Determine the relative displacement of point D from O for the elastic steel bar of variable cross section (shown below) cause by the application of forces P1 100 kN and Ps 200 kN acting to the left, and P2 250 kN and P4 50 kN acting to the right. The respective areas for bar segments OB, BC, and CD are 1000, 2000, and 1000 mm2. Let E 200 GPa. All dimensions in the diagram are in mm. 1000一卡 -1500-一一. 2000...
P3. A rocket of mass -1.20x10'kg is launched vertically upward from point A on the earth's surface with an initial speed v, 7.00km/s a. (12) Calculate the maximum height H of point B above th...
P3. A rocket of mass -1.20x10'kg is launched vertically upward from point A on the earth's surface with an initial speed v, 7.00km/s a. (12) Calculate the maximum height H of point B above the earth's surface at which the rocket will momentarily come to rest, before it starts falling back to the earth Hint: Use conservation of energy. b. (4) Determine the gravitational acceleration a at point B. c. (9) Calculate the total mechanical energy E of the rocket....
P4. Use CONSERVATION OF ENERGY to determine how HIGH a projectile of mass m goes if...
P4. Use CONSERVATION OF ENERGY to determine how HIGH a projectile of mass m goes if STARTED with VELOCITY v0at angle q with respect to the ground. Please give all your answers below in terms of v0, q, m, and g .a) What is the KINETIC ENERGY at the start? b) What is the KINETIC ENERGY at the HIGHEST point of its flight? c) What is the GRAVITATIONAL POTENTIAL ENERGY at the start? d) What is the GRAVITATION POTENTIAL ENERGY...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
Use bisection method to determine the point of maximum deflection of the beam subject to a linearly increasing distributed load shown in the figure below
Use bisection method to determine the point of maximum deflection of the beam subject to a linearly increasing distributed load shown in the figure below (the value of x where dy/dx= 0). Then substitute this value into the equation to determine the value of the maximum deflection. Use the following parameter values in your computation: L = 600 cm, E=50,000 kN/cm2, I=30,000 cm4, and w0 =1.75 kN/cm.
The planar four-bar mechanism shown below has a driving crank O1A that turns about O1 at...
The planar four-bar mechanism shown below has a driving crank
O1A that turns about O1 at a constant rate of
(theta- dot) θ. = 10 rad/s CCW. The links O1A
and O2B are balanced and have a mass moments of inertia
about their center of mass of Iz = 0.02 kgm2 . The link
ABC has a center of mass located at point G, has a mass of m = 2
kg, and has a mass moment of inertia of...
The stepped bar shown below is fixed at point D. Section AB is made of a malleable cast iron alloy [E = 15,000 ksi, v= (1/4), Suc = 100 ksi] and section BCD is made of aircraft-grade aluminum [E = 10,000 ksi, v= = (1/3), Sut = Suc = 60 ksi). CD is hollow with an internal diameter of 0.3 inch. Find: 10 kips a. the largest stress in the iron and the aluminum. А b. the change in length...
Question 1 The stepped flat bar has a constant thickness of 8.0 mm. It carries three concentrated loads as shown. Let P 200 N, L 180 mm, L, = 80 mm, and Ls 40 mm. Compute the maximum stress due to bending and state where it occurs. Note: The bar is braced against lateral bending and twisting. 100 mm 140 mm 1CX) mm 140 mm 2P Flat plate r3 mm t8 mm typical 12 m 24 mm-36 mm 48 mm...
Shown below is a crank with 5 kN load. Calculate the vertical deflection at the point of the load. The material properties are E = 2003 MPa, G= 80e3 MPa. Show which segment is going through bending and which bending + torsion. (Hint: Total external strain energy = 72 PS) 5 kN Uim= att S m² dx 400 mm с 500 mm UiT J ST² dx 10 mm x 40 mm Section B 40 mm dia.
Determine the relative displacement of point D from O for the elastic steel bar of variable cross section (shown below) cause by the application of forces P1 100 kN and Ps 200 kN acting to the left, and P2 250 kN and P4 50 kN acting to the right. The respective areas for bar segments OB, BC, and CD are 1000, 2000, and 1000 mm2. Let E 200 GPa. All dimensions in the diagram are in mm. 1000一卡 -1500-一一. 2000...
P3. A rocket of mass -1.20x10'kg is launched vertically upward from point A on the earth's surface with an initial speed v, 7.00km/s a. (12) Calculate the maximum height H of point B above the earth's surface at which the rocket will momentarily come to rest, before it starts falling back to the earth Hint: Use conservation of energy. b. (4) Determine the gravitational acceleration a at point B. c. (9) Calculate the total mechanical energy E of the rocket....
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
The planar four-bar mechanism shown below has a driving crank
O1A that turns about O1 at a constant rate of
(theta- dot) θ. = 10 rad/s CCW. The links O1A
and O2B are balanced and have a mass moments of inertia
about their center of mass of Iz = 0.02 kgm2 . The link
ABC has a center of mass located at point G, has a mass of m = 2
kg, and has a mass moment of inertia of...
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