Please answer the following and fill up the table using Principle of virtual work method only. Please draw an fbd on the real beam & virtual beam. Formulas are provided in the other picture used as guide. Thanks
Please answer the following and fill up the table using Principle of virtual work method only. Please draw an fbd on the real beam & virtual beam. Formulas are provided in the other picture used as guide. Thanks
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer the following and fill up the table using Principle of virtual work method only. Please draw an fbd on the real beam & virtual beam. Formulas are provided in the other picture used as guide. Thanks
![FOR DISPLACEMENT
Real Loads
mmin.in
Virtual loads
IxA=
r²mM
Jo El
-dx
A
FOR ROTATION/SLOPE
Real Loads
រនី។
Virtual loads
1x8 =
pmom
ET
dx
Where
1 = external virtual unit load acting on the beam in the stated direction of A.
m = internal virtual moment in the beam/frame, expressed as a f(x) and caused by the external virtual
unit load.
A = external displacement of the point caused by the real loads acting on the beam/frame.
M = internal moment in the beam/frame, expressed as f(x) and caused by real loads.
E = modulus of elasticity
I = moment of inertia of the CSA about the neutral axis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07c69857-616f-4104-9533-0d686edb08a9%2F8b0156e5-9e47-4792-9468-1230d59c5807%2Fvhpfo0s_processed.png&w=3840&q=75)
Transcribed Image Text:FOR DISPLACEMENT
Real Loads
mmin.in
Virtual loads
IxA=
r²mM
Jo El
-dx
A
FOR ROTATION/SLOPE
Real Loads
រនី។
Virtual loads
1x8 =
pmom
ET
dx
Where
1 = external virtual unit load acting on the beam in the stated direction of A.
m = internal virtual moment in the beam/frame, expressed as a f(x) and caused by the external virtual
unit load.
A = external displacement of the point caused by the real loads acting on the beam/frame.
M = internal moment in the beam/frame, expressed as f(x) and caused by real loads.
E = modulus of elasticity
I = moment of inertia of the CSA about the neutral axis
![What is the vertical displacement at Joint A in mm?
I=15.5 x 10 mm¹ and E= 200 GPa
Seg Origin Limit
AB A 0-2
BC A 2-5
CD
A 5-6
fox 9 kN-m
33 kN/m
M
-2m
2kN/m
-3 m-
+-1m-
mM
EL
dx (mm)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07c69857-616f-4104-9533-0d686edb08a9%2F8b0156e5-9e47-4792-9468-1230d59c5807%2Fpz2nqjmv_processed.png&w=3840&q=75)
Transcribed Image Text:What is the vertical displacement at Joint A in mm?
I=15.5 x 10 mm¹ and E= 200 GPa
Seg Origin Limit
AB A 0-2
BC A 2-5
CD
A 5-6
fox 9 kN-m
33 kN/m
M
-2m
2kN/m
-3 m-
+-1m-
mM
EL
dx (mm)
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