b) Given l = 1000 mm and P = 4000 N, select the internal shear force and %3D %3D moment diagram for the options below: Shear force and moment diagram 1000 -1000 -2000 BO0000 600000 400000 200000 200 400 600 800 1000 Shear force and moment diagram 1000 -1000 -2000 -200000 -400000 -600000 Shear force and moment diagram 1000 1000 -2000 le6 2.5 2.0 15 10 0.5 00 200 400 600 800 1000 Shear force and moment diagram 2500 E 2000 1500 1000 500 800000 600000 400000 200000 600 1000 200 400 800 Moment (N'mm) Shear force IN Shear force (N) Moment (N'mm) Moment (N*mm) Shear force (N) Moment (N'mm) Shear force (N) Question 5 A simply supported beam of a total length l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load P. Note that adatpive marking has been used to consider the method mark. P 21 3 3 A C В Figure Q5: A simply supported beam with a concentrated load applied a) (1) The support reaction forces at the A and C, be careful of the sign. R (mathematical expression) %3D R, (mathematical expression) (2) Give the expressions of the shear and moment at an arbitrary poistion r of AB segment, be careful of the sign. (mathematical expression) (mathematical expression) %3D (3) Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign. Vs (mathematical expression) %3D (mathematical expression) %3D II
b) Given l = 1000 mm and P = 4000 N, select the internal shear force and %3D %3D moment diagram for the options below: Shear force and moment diagram 1000 -1000 -2000 BO0000 600000 400000 200000 200 400 600 800 1000 Shear force and moment diagram 1000 -1000 -2000 -200000 -400000 -600000 Shear force and moment diagram 1000 1000 -2000 le6 2.5 2.0 15 10 0.5 00 200 400 600 800 1000 Shear force and moment diagram 2500 E 2000 1500 1000 500 800000 600000 400000 200000 600 1000 200 400 800 Moment (N'mm) Shear force IN Shear force (N) Moment (N'mm) Moment (N*mm) Shear force (N) Moment (N'mm) Shear force (N) Question 5 A simply supported beam of a total length l is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P at the location of 21/3. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load P. Note that adatpive marking has been used to consider the method mark. P 21 3 3 A C В Figure Q5: A simply supported beam with a concentrated load applied a) (1) The support reaction forces at the A and C, be careful of the sign. R (mathematical expression) %3D R, (mathematical expression) (2) Give the expressions of the shear and moment at an arbitrary poistion r of AB segment, be careful of the sign. (mathematical expression) (mathematical expression) %3D (3) Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign. Vs (mathematical expression) %3D (mathematical expression) %3D II
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:b)
Given l = 1000 mm and P = 4000 N, select the internal shear force and
%3D
%3D
moment diagram for the options below:
Shear force and moment diagram
1000
-1000
-2000
BO0000
600000
400000
200000
200
400
600
800
1000
Shear force and moment diagram
1000
-1000
-2000
-200000
-400000
-600000
Shear force and moment diagram
1000
1000
-2000
le6
2.5
2.0
15
10
0.5
00
200
400
600
800
1000
Shear force and moment diagram
2500
E 2000
1500
1000
500
800000
600000
400000
200000
600
1000
200
400
800
Moment (N'mm)
Shear force IN
Shear force (N)
Moment (N'mm)
Moment (N*mm)
Shear force (N)
Moment (N'mm)
Shear force (N)
Transcribed Image Text:Question 5
A simply supported beam of a total length l is shown in Figure Q5, where point A
is supported by a pin connection and point C is supported by a roller support.
The concentrated load is P at the location of 21/3. Determine the shear-force
and bending-moment distributions produced in the beam by the concentrated
load P.
Note that adatpive marking has been used to consider the method mark.
P
21
3
3
A
C
В
Figure Q5: A simply supported beam with a concentrated load applied
a)
(1) The support reaction forces at the A and C, be careful of the sign.
R
(mathematical expression)
%3D
R,
(mathematical expression)
(2) Give the expressions of the shear and moment at an arbitrary poistion r of
AB segment, be careful of the sign.
(mathematical expression)
(mathematical expression)
%3D
(3) Give the expressions of the shear and moment at an arbitrary poistion x of
BC segment, be careful of the sign.
Vs
(mathematical expression)
%3D
(mathematical expression)
%3D
II
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