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Problem 2: For the cantilever beam shown below, complete the following using the moment- area method...
A propped cantilever beam is loaded as shown. Assume that EI = 250,000 kN-m2, and use...
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given...
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given as the first step of the solution. MA-17.75 kN-m 0.5 kN/m 4 kN-m A-O 1 A-1.5 KN 2 m 3 m 2 m 5 m ND: a) Draw the shear (V) and moment (M) diagrams. b) Label all significant values on the shear and moment diagrams (i.e. at Om, 2m, 5m, 7m)
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given...
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given as the first step of the solution. MA-17.75 kN-m 0.5 kN/m 4 kN-m A-O 1 A-1.5 KN 2 m 3 m 2 m 5 m ND: a) Draw the shear (V) and moment (M) diagrams. b) Label all significant values on the shear and moment diagrams (i.e. at Om, 2m, 5m, 7m)
Consider a cantilever beam under a concentrated force and moment as shown below. The deflections ofthe...
Consider a cantilever beam under a concentrated force and moment as shown below. The deflections ofthe beam under the force F (y) and moment M (y) are given by: 2. y' Mo L-x) , and y2 Me , where EI is the beam's flexural rigidity. The slope of the beam, 0, is the derivative of the deflection. Write a program that asks the user to input beam's length L, flexural rigidity EI (you may consider this as a single parameter,...
For the uniform cantilever beam and loading shown, use the moment-area method to determine 1· The...
For the uniform cantilever beam and loading shown, use the moment-area method to determine 1· The slope at B. 2. The deflection at C. 2Mo L/2 L/2
For the cantilever beam with a constant El and loading shown, using the superposition method to...
For the cantilever beam with a constant El and loading shown, using the superposition method to determine 1) the deflection at B; 2) the slope at B. MWL Mo= 6
Using the moment-area method determine the deflection at point C of the beam shown below
Using the moment-area method determine the deflection at point C of the beam shown below. Supports in A and B are pin and roller, respectively. Consider EI =const.
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine t...
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo
Problem-1 (15 points) A cantilever beam ACB...
A cantilever beam is shown in the figure below. Using the second-order integration method (moment-curvature equation):...
A cantilever beam is shown in the figure below. Using the second-order integration method (moment-curvature equation): (a) Determine the equation of the deflection curve v(x) and draw the curve (6) Determine the deflection ve and the slope OB at B. Consider Young's Modulus E = 210x10° Pa. 2N А 200 mm B > 10 m 100 mm
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to...
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to a moment couple at B. Use the double integration method to compute the vertical deflection of the beam at free end A 100 kN-m 2 m
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given as the first step of the solution. MA-17.75 kN-m 0.5 kN/m 4 kN-m A-O 1 A-1.5 KN 2 m 3 m 2 m 5 m ND: a) Draw the shear (V) and moment (M) diagrams. b) Label all significant values on the shear and moment diagrams (i.e. at Om, 2m, 5m, 7m)
The cantilever beam below is loaded as shown. The complete FBD with support reaction is given as the first step of the solution. MA-17.75 kN-m 0.5 kN/m 4 kN-m A-O 1 A-1.5 KN 2 m 3 m 2 m 5 m ND: a) Draw the shear (V) and moment (M) diagrams. b) Label all significant values on the shear and moment diagrams (i.e. at Om, 2m, 5m, 7m)
Consider a cantilever beam under a concentrated force and moment as shown below. The deflections ofthe beam under the force F (y) and moment M (y) are given by: 2. y' Mo L-x) , and y2 Me , where EI is the beam's flexural rigidity. The slope of the beam, 0, is the derivative of the deflection. Write a program that asks the user to input beam's length L, flexural rigidity EI (you may consider this as a single parameter,...
For the uniform cantilever beam and loading shown, use the moment-area method to determine 1· The slope at B. 2. The deflection at C. 2Mo L/2 L/2
For the cantilever beam with a constant El and loading shown, using the superposition method to determine 1) the deflection at B; 2) the slope at B. MWL Mo= 6
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo
Problem-1 (15 points) A cantilever beam ACB...
A cantilever beam is shown in the figure below. Using the second-order integration method (moment-curvature equation): (a) Determine the equation of the deflection curve v(x) and draw the curve (6) Determine the deflection ve and the slope OB at B. Consider Young's Modulus E = 210x10° Pa. 2N А 200 mm B > 10 m 100 mm
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to a moment couple at B. Use the double integration method to compute the vertical deflection of the beam at free end A 100 kN-m 2 m
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