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 DISPLACEMENTReal Loadsmmin.inVirtual loadsIxA=r²mMJo El-dxAFOR ROTATION/SLOPEReal Loadsរនី។Virtual loads1x8 =pmomETdxWhere1 = 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 virtualunit 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 elasticityI = 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 GPaSeg Origin LimitAB A 0-2BC A 2-5CDA 5-6fox 9 kN-m33 kN/mM-2m2kN/m-3 m-+-1m-mMELdx (mm)

A beam is loaded is as followsdeflection at joint A has tobe found out

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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)

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Step 1: Given data

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Step 2: calculate reactions at B&C

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Step 3: applying unit load at joint A

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Step 4: calculate deflection at A

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