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

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Exercise 4
XXXXXXXXX
A
Exercise 5
3L
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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Transcribed Image Text:✓ Exercise 4 XXXXXXXXX A Exercise 5 3L 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 More tools
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