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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Formula attached.

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: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)
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
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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