An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 7.2 m is made of steel with Young's modulus, E = 183.7 x 10⁹ N/m². The second moment of area of the beam 1 = 5.4 x 10-4 m4. The stiffness of the spring, k₁ = 1.9 x 10³ N/m. The mass due to the load being lifted, m₁ = 4.3 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) ww/

An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 7.2 m is made of steel with Young's modulus, E = 183.7 x 10⁹ N/m². The second moment of area of the beam 1 = 5.4 x 10-4 m4. The stiffness of the spring, k₁ = 1.9 x 10³ N/m. The mass due to the load being lifted, m₁ = 4.3 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) ww/

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

is my entered value correct ? please correct me if I'm mistaken

An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 7.2 m is made of steel with Young's modulus, E = 183.7 x 10⁹ N/m². The second
moment of area of the beam 1 = 5.4 x 10-4 m4. The stiffness of the spring, k₁ = 1.9 x 10³ N/m. The mass due to the load being lifted, m₁ = 4.3 x 10² kg. The beam mass is negligible
compared with the load.
You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express
your answer to 2dp)
Flg. Q3
Answer: 43.11
ΑΛΛΛΛΛΗ
ᏤᏤᏤᏤᏤᏤ
m₁

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