The cantilever beam is supported by a pin at A and a roller at B. The Shear Force Diagram and Bending Moment Diagram are shown below the Free Body Diagram. The cross section of the beam is also shown. A. State the values of the support/reactions, Force AY and Force BY. Include units. B. Calculate the maximum tension stress in the beam. State the location of the maximum tension stress. C. State the location and value of the maximum compression stress in the beam. D. Calculate the maximum shear stress in the beam. State the location of the maximum shear stress. Ay 5 KN/m 25 kN Beam Cross Section B Ax By D - 2m -- 4m 4m 25 10 100 mm 30 SFD(KN) 20 100 (KN'm)BMD unu 007
The cantilever beam is supported by a pin at A and a roller at B. The Shear Force Diagram and Bending Moment Diagram are shown below the Free Body Diagram. The cross section of the beam is also shown. A. State the values of the support/reactions, Force AY and Force BY. Include units. B. Calculate the maximum tension stress in the beam. State the location of the maximum tension stress. C. State the location and value of the maximum compression stress in the beam. D. Calculate the maximum shear stress in the beam. State the location of the maximum shear stress. Ay 5 KN/m 25 kN Beam Cross Section B Ax By D - 2m -- 4m 4m 25 10 100 mm 30 SFD(KN) 20 100 (KN'm)BMD unu 007
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Show all units and step by step solution.
Formula attached.
Transcribed Image Text:Stress and Moment of Inertia
Conversions
Formulas
F
IkN = 1000N
axial
A
Im = 1000mm
IMPA = 1000kPa
IkN/m = IN/mm
My
O bending
I
IkN.m = 1000,00ON.mm
V
A
VQ
T =-
IT
bh
I rec tan gle
12
EA,
y ΣΑ
ΣΑ
-= -
ΣΑ
1, = 1 + Ad²
xe
1, = E(!.)+E(4d²)
Transcribed Image Text:The cantilever beam is supported by a pin at A and a roller at B. The Shear Force Diagram and Bending
Moment Diagram are shown below the Free Body Diagram. The cross section of the beam is also shown.
A. State the values of the support/reactions, Force AY and Force BY. Include units.
B. Calculate the maximum tension stress in the beam. State the location of the maximum tension stress.
C. State the location and value of the maximum compression stress in the beam.
D. Calculate the maximum shear stress in the beam. State the location of the maximum shear stress.
Ay
5 kN/m
25 kN
Beam Cross Section
B
Ax
By
D
- 2m --
4m.
4m
25
10
100 mm
30
SFD(KN)
20
100
(KN'm)BMD
unu 007
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