QB5 BEAM BENDING A cantilever beam of length 8 m is loaded with three point loads as shown in Figure QB5. a) Calculate the vertical reactions and bending moment at support, A. b) Derive the equation for determining the Shear Force and Bending moments along the entire length, hence determine the values of the Shear Forces and Bending moments at points A,B,C and D c)Sketch the Shear Force diagram and the Bending Moment diagrams by inspection. Compare with your results for Bending moments and Shear Force in part (b)
QB5 BEAM BENDING A cantilever beam of length 8 m is loaded with three point loads as shown in Figure QB5. a) Calculate the vertical reactions and bending moment at support, A. b) Derive the equation for determining the Shear Force and Bending moments along the entire length, hence determine the values of the Shear Forces and Bending moments at points A,B,C and D c)Sketch the Shear Force diagram and the Bending Moment diagrams by inspection. Compare with your results for Bending moments and Shear Force in part (b)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![QB5 BEAM BENDING
A cantilever beam of length 8 m is loaded with three point loads as shown in Figure QB5.
a) Calculate the vertical reactions and bending moment at support, A.
b) Derive the equation for determining the Shear Force and Bending moments along the
entire length, hence determine the values of the Shear Forces and Bending moments at
points A,B,C and D
c)Sketch the Shear Force diagram and the Bending Moment diagrams by inspection.
results for Bending moments and Shear Force in part (b)
Compare with your
50 kN
20 kN
40 kN
2m
1m
1m
c'
D
Fig QB5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35d9d3c6-89a1-4c6e-acf1-f5d34ad74059%2F7a37cc21-8460-4465-ac31-337a081ee169%2Fdq6qm6t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QB5 BEAM BENDING
A cantilever beam of length 8 m is loaded with three point loads as shown in Figure QB5.
a) Calculate the vertical reactions and bending moment at support, A.
b) Derive the equation for determining the Shear Force and Bending moments along the
entire length, hence determine the values of the Shear Forces and Bending moments at
points A,B,C and D
c)Sketch the Shear Force diagram and the Bending Moment diagrams by inspection.
results for Bending moments and Shear Force in part (b)
Compare with your
50 kN
20 kN
40 kN
2m
1m
1m
c'
D
Fig QB5
![QA3- RELATIVE MOTION
A helicopter is flying North-West at 80 m/s relative to the ground and the wind velocity is 15 m/s from
the East. The helicopter's main rotor lies in a horizontal plane, has a radius of 6 m, and is rotating at
20 rad/s in a clockwise sense looking down on it.
a) Calculate the helicopter's air speed and apparent heading through the air (i.e. both relative to the
air).
b) Calculate the maximum and minimum velocities of the blade-tips relative to the air.
Hint: In both parts, draw sketches to visualise what's happening. In the second part, only consider
the helicopter's motion through the air and the blade-tips' motion relative to the helicopter (i.e.
the air becomes your main reference frame, not the ground).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35d9d3c6-89a1-4c6e-acf1-f5d34ad74059%2F7a37cc21-8460-4465-ac31-337a081ee169%2Fte68aof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QA3- RELATIVE MOTION
A helicopter is flying North-West at 80 m/s relative to the ground and the wind velocity is 15 m/s from
the East. The helicopter's main rotor lies in a horizontal plane, has a radius of 6 m, and is rotating at
20 rad/s in a clockwise sense looking down on it.
a) Calculate the helicopter's air speed and apparent heading through the air (i.e. both relative to the
air).
b) Calculate the maximum and minimum velocities of the blade-tips relative to the air.
Hint: In both parts, draw sketches to visualise what's happening. In the second part, only consider
the helicopter's motion through the air and the blade-tips' motion relative to the helicopter (i.e.
the air becomes your main reference frame, not the ground).
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