e) What is the maximum magnitude of shear force and bending moment, neglecting the sign? Maximum magnitude of shear force, positive value: Maximum magnitude of bending moment, positive value: N*mm N f) Determine the maximum bending stress and shear stress that occurs in the beam. Maximum bending stress: Maximum shear stress: MPa MPa Show steps (Your score will not be affected.)
e) What is the maximum magnitude of shear force and bending moment, neglecting the sign? Maximum magnitude of shear force, positive value: Maximum magnitude of bending moment, positive value: N*mm N f) Determine the maximum bending stress and shear stress that occurs in the beam. Maximum bending stress: Maximum shear stress: MPa MPa Show steps (Your score will not be affected.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Can you help me with d, e & f please........
![A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-
section of the beam is shown in Figure Q4(b). Assume that LAB = 2100 mm, LBC = 2900 mm,
W=180 mm, Bo = 10 mm, and H=210 mm, ho=20 mm.
Units: use N, mm, MPa as consistent units for all calculations.
Decimal points: any decimal points are fine and all the numerical questions have a 10% error
tolerance.
Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive
marking is still used.
(a)
(b)
X
ω
LAB
B
mm4
LBC
7777
Show steps (Your score will not be affected.)
Y
Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.
N, y-direction: YA=
a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure
Q4(b)?
I =
N, y-direction: Yc=
Section BC:
Shear force equation V(x) =:
Bending moment equation M(x) =:
b) Calculate support reactions in A and C, remember the sign of the force.
Reaction force at point A:
x-direction: X=
Reaction force at point C:
x-direction: Xc=
N
N
Cross-section
Во
N*mm
N*mm
hot
N
c) Calculate the equations of shear force V(x) and bending moment M(x). Type the
mathematical expressions or constants.
Section AB:
Shear force equation V(x) =:
Bending moment equation M(x) =:
Wo
N
H
e) What is the maximum magnitude of shear force and bending
moment, neglecting the sign?
Maximum magnitude of shear force, positive value:
Maximum magnitude of bending moment, positive value:
N*mm
N
d) Select the right force and bending moment diagrams from the
options below, neglecting the axis values in the diagrams, only
look at the shape.
Maximum shear stress:
-5000
-10000
-15000
-20000
25000
220000
15000
10000
5000
-5000
-10000
Shear force (N)
15000
10000
-5000
10
00
1000
1000
MPa
3000
MPa
Shear force and moment diagram
2000
Shear force and moment diagram
2000
3000
Show steps (Your score will not be affected.)
Shear force and moment diagram
3000
2000
Shear force and moment diagram
3000
4000
f) Determine the maximum bending stress and shear stress that
occurs in the beam.
Maximum bending stress:
4000
4000
4000
5000
5000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88987a03-4211-4a24-a161-6afee14c4628%2F69148ce3-da57-4b6e-9745-0983f6de3cd9%2Fjip1qsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-
section of the beam is shown in Figure Q4(b). Assume that LAB = 2100 mm, LBC = 2900 mm,
W=180 mm, Bo = 10 mm, and H=210 mm, ho=20 mm.
Units: use N, mm, MPa as consistent units for all calculations.
Decimal points: any decimal points are fine and all the numerical questions have a 10% error
tolerance.
Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive
marking is still used.
(a)
(b)
X
ω
LAB
B
mm4
LBC
7777
Show steps (Your score will not be affected.)
Y
Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.
N, y-direction: YA=
a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure
Q4(b)?
I =
N, y-direction: Yc=
Section BC:
Shear force equation V(x) =:
Bending moment equation M(x) =:
b) Calculate support reactions in A and C, remember the sign of the force.
Reaction force at point A:
x-direction: X=
Reaction force at point C:
x-direction: Xc=
N
N
Cross-section
Во
N*mm
N*mm
hot
N
c) Calculate the equations of shear force V(x) and bending moment M(x). Type the
mathematical expressions or constants.
Section AB:
Shear force equation V(x) =:
Bending moment equation M(x) =:
Wo
N
H
e) What is the maximum magnitude of shear force and bending
moment, neglecting the sign?
Maximum magnitude of shear force, positive value:
Maximum magnitude of bending moment, positive value:
N*mm
N
d) Select the right force and bending moment diagrams from the
options below, neglecting the axis values in the diagrams, only
look at the shape.
Maximum shear stress:
-5000
-10000
-15000
-20000
25000
220000
15000
10000
5000
-5000
-10000
Shear force (N)
15000
10000
-5000
10
00
1000
1000
MPa
3000
MPa
Shear force and moment diagram
2000
Shear force and moment diagram
2000
3000
Show steps (Your score will not be affected.)
Shear force and moment diagram
3000
2000
Shear force and moment diagram
3000
4000
f) Determine the maximum bending stress and shear stress that
occurs in the beam.
Maximum bending stress:
4000
4000
4000
5000
5000
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