b. The cantilever beam shown in Figure 4 has a length L=4 m. The width (w) and depth (1) 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 =80x10' N/mm².

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.32P: The compound beam shown in the figure consists of a cantilever beam AB (length L) that is...
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What is the load carried by the spring and the maximum flexural stress?

b. The cantilever beam shown in Figure 4 has a length L=4 m. The width (w) and depth (f) 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= 80x10' N/mm.
Determine:
i. The deflection at the end of the beam.
ii. The load carried by the beam.
iii.
The load carried by the spring.
The maximum flexural stress in the beam for this loading.
v. The amounts of energy absorbed by the beam and spring.
iv.
|Load, P
W.
Not drawn to scale.
Figure 4
Transcribed Image Text:b. The cantilever beam shown in Figure 4 has a length L=4 m. The width (w) and depth (f) 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= 80x10' N/mm. Determine: i. The deflection at the end of the beam. ii. The load carried by the beam. iii. The load carried by the spring. The maximum flexural stress in the beam for this loading. v. The amounts of energy absorbed by the beam and spring. iv. |Load, P W. Not drawn to scale. Figure 4
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