b. The cantilever beam shown in Figure 4 has a length L= 4 m. The width (w) and depth (t) of the beam are 80 mm and 35 mm respectively. A spring of stiffness, k = 25 N/mm supports the beam at the free end. The spring is initially unstressed and is always in contact with the beam. When a load of P= 450 N drops through a height of h=50 mm at the free end, 65% of the energy is absorbed elastically by the system consisting of the beam and spring. Take the Young's modulus of the beam as E= 80 x10' N/mm² . Determine: i. The deflection at the end of the beam. ii. The load carried by the beam. The load carried by the spring. The maximum flexural stress in the beam for this loading. The amounts of energy absorbed by the beam and spring. 111. iv. V.

b. The cantilever beam shown in Figure 4 has a length L= 4 m. The width (w) and depth (t) of the beam are 80 mm and 35 mm respectively. A spring of stiffness, k = 25 N/mm supports the beam at the free end. The spring is initially unstressed and is always in contact with the beam. When a load of P= 450 N drops through a height of h=50 mm at the free end, 65% of the energy is absorbed elastically by the system consisting of the beam and spring. Take the Young's modulus of the beam as E= 80 x10' N/mm² . Determine: i. The deflection at the end of the beam. ii. The load carried by the beam. The load carried by the spring. The maximum flexural stress in the beam for this loading. The amounts of energy absorbed by the beam and spring. 111. iv. V.

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

b. The cantilever beam shown in Figure 4 has a length L=4m. The width (w) and depth (t) of the
beam are 80 mm and 35 mm respectively. A spring of stiffness, k= 25 N/mm supports the beam at
the free end. The spring is initially unstressed and is always in contact with the beam. When a load of
P= 450 N drops through a height of h=50 mm at the free end, 65% of the energy is absorbed
elastically by the system consisting of the beam and spring. Take the Young's modulus of the beam
as E= 80 x10° N/mm².
Determine:
i.
The deflection at the end of the beam.
11.
The load carried by the beam.
iii.
The load carried by the spring.
iv.
The maximum flexural stress in the beam for this loading.
The amounts of energy absorbed by the beam and spring.
V.
|Load, P
W.
B
L
Not drawn to scale.
Figure 4

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