Write the equation of motion for free vibration of a reinforced concrete cantilever beam of length 2.00 m, cross-sectional dimensions 200 x 450 mm, carrying a point load of 20 kN at its free end. An initial displacement x is applied downwards at the free end of the beam as shown in Fig. 2.40. Ignore the weight of the beam and assume modulus of elasticity of the material to be 25000 MPa. 20 kN 手一 200 m Fig. 2.40

Write the equation of motion for free vibration of a reinforced concrete cantilever beam of length 2.00 m, cross-sectional dimensions 200 x 450 mm, carrying a point load of 20 kN at its free end. An initial displacement x is applied downwards at the free end of the beam as shown in Fig. 2.40. Ignore the weight of the beam and assume modulus of elasticity of the material to be 25000 MPa. 20 kN 手一 200 m Fig. 2.40

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

Write the equation of motion for free vibration of a reinforced concrete
cantilever beam of length 2.00 m, cross-sectional dimensions 200 x 450
mm, carrying a point load of 20 kN at its free end. An initial displacement
x is applied downwards at the free end of the beam as shown in Fig. 2.40.
Ignore the weight of the beam and assume modulus of elasticity of the
material to be 25000 MPa.
3.
20 kN
200 m
Fig. 2.40

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