✓Exercise 4XXXXXXXXXAExercise 53LeExercise 3A simple beam AB is subjected to couples Mo and 2Mo acting as shown in the Figure below. Determinethe angles of rotation and Og at the ends of the beam and the deflection 8 at point D where the loadMo is applied.40AAComment HighlightADLMoConsider a cantilever beam ABC shown in Figure below, supporting a triangular distributed load on thelength "BC" of the beam. If the beam has a total length "L" and its flexural rigidity "EI" is assumed tobe constant, draw the diagram of the cantilever beam and use the Moment- Area Method to determinethe angle of rotation Og and deflection at the free end "B".MΕΙeDraw2MoEPBConsider a simply supported beam ABC of the total length L and a constant flexural rigidity Elin Figure Q2. The beam supports a concentrated load P, located at half length of the beam.Use the Moment-Area method to determine:(a) The diagram of the beam, through drawing.M(b) The areas A₁ and A₂ when the diagram is divided into two areas.ΕΙ(c) The equation of the angle of rotation c at point 'C'.(d) The equation of maximum deflection &c at point 'C'.QBTText…III2LgoqLFONFill & Sign(3)(4)(5)(7)1More tools

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Exercise 3 A simple beam AB is subjected to couples Mo and 2Mo acting as shown in the Figure below. Determine the angles of rotation and at the ends of the beam and the deflection 8 at point D where the load M, is applied. ܟܪܐ . Mo D L 3 2M0 E 13 B

Exercise 3 A simple beam AB is subjected to couples Mo and 2Mo acting as shown in the Figure below. Determine the angles of rotation and at the ends of the beam and the deflection 8 at point D where the load M, is applied. ܟܪܐ . Mo D L 3 2M0 E 13 B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.7.2P: The cantilever beam ACB shown in the figure supports a uniform load of intensity q throughout its...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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Exercise 4
XXXXXXXXX
A
Exercise 5
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e
Exercise 3
A simple beam AB is subjected to couples Mo and 2Mo acting as shown in the Figure below. Determine
the angles of rotation and Og at the ends of the beam and the deflection 8 at point D where the load
Mo is applied.
40
A
A
Comment Highlight
A
D
L
Mo
Consider a cantilever beam ABC shown in Figure below, supporting a triangular distributed load on the
length "BC" of the beam. If the beam has a total length "L" and its flexural rigidity "EI" is assumed to
be constant, draw the diagram of the cantilever beam and use the Moment- Area Method to determine
the angle of rotation Og and deflection at the free end "B".
M
ΕΙ
e
Draw
2Mo
E
P
B
Consider a simply supported beam ABC of the total length L and a constant flexural rigidity El
in Figure Q2. The beam supports a concentrated load P, located at half length of the beam.
Use the Moment-Area method to determine:
(a) The diagram of the beam, through drawing.
M
(b) The areas A₁ and A₂ when the diagram is divided into two areas.
ΕΙ
(c) The equation of the angle of rotation c at point 'C'.
(d) The equation of maximum deflection &c at point 'C'.
Q
B
T
Text
…III
2
L
go
q
L
FON
Fill & Sign
(3)
(4)
(5)
(7)
1
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Step 1: Disclaimer:

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Step 2: Given Data and to find:

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Step 3: To determine the angles of rotation at the ends of the beam and deflection at point D .

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Step 4: Diagram for deflection of centre :

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Step 5: Angle of rotation:

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Step 6: Distance between D and D1:

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