Shown below is a horizontal beam that is fixed at the left end and is cyclically operated at the rightend by a vertical actuator that deflects it 3 mm up and 10 mm down, both from the horizontal position.The frequency of cycling is 2 Hz. The beam is 250 mm long and has a rectangular cross section of20 mm width. The beam's material is a steel with Sut = 440 MPa, Syt = 370 MPa, and a fully modifiedSe = 250 MPa.%3D%3D(a) Using a factor of safety of 1.5, determine the thickness of the beam (h) for a life of 1,000hours.(b) Suppose a small hole of 4 mm diameter is drilled at the mid-width of the beam at a distance150 mm from the left end.The beam thickness is the same as that determined in Part (a).Can the beam survive 1,000 cycles of cyclic operation now? Justify your answer withcalculations.h250 mmActuator

Answered: Image /qna-images/answer/6f91c2c1-cc69-48ee-9a06-6e52164fabc9.jpg

Shown below is a horizontal beam that is fixed at the left end and is cyclically operated at the right end by a vertical actuator that deflects it 3 mm up and 10 mm down, both from the horizontal position. The frequency of cycling is 2 Hz. The beam is 250 mm long and has a rectangular cross section of 20 mm width. The beam's material is a steel with Sut = 440 MPa, Syt = 370 MPa, and a fully modified Se = 250 MPa. (a) Using a factor of safety of 1.5, determine the thickness of the beam (h) for a life of 1,000 hours. (b) Suppose a small hole of 4 mm diameter is drilled at the mid-width of the beam at a distance 150 mm from the left end. The beam thickness is the same as that determined in Part (a). Can the beam survive 1,000 cycles of cyclic operation now? Justify your answer with calculations. 250 mm Actuator

Shown below is a horizontal beam that is fixed at the left end and is cyclically operated at the right end by a vertical actuator that deflects it 3 mm up and 10 mm down, both from the horizontal position. The frequency of cycling is 2 Hz. The beam is 250 mm long and has a rectangular cross section of 20 mm width. The beam's material is a steel with Sut = 440 MPa, Syt = 370 MPa, and a fully modified Se = 250 MPa. (a) Using a factor of safety of 1.5, determine the thickness of the beam (h) for a life of 1,000 hours. (b) Suppose a small hole of 4 mm diameter is drilled at the mid-width of the beam at a distance 150 mm from the left end. The beam thickness is the same as that determined in Part (a). Can the beam survive 1,000 cycles of cyclic operation now? Justify your answer with calculations. 250 mm Actuator

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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Question

Shown below is a horizontal beam that is fixed at the left end and is cyclically operated at the right
end by a vertical actuator that deflects it 3 mm up and 10 mm down, both from the horizontal position.
The frequency of cycling is 2 Hz. The beam is 250 mm long and has a rectangular cross section of
20 mm width. The beam's material is a steel with Sut = 440 MPa, Syt = 370 MPa, and a fully modified
Se = 250 MPa.
%3D
%3D
(a) Using a factor of safety of 1.5, determine the thickness of the beam (h) for a life of 1,000
hours.
(b) Suppose a small hole of 4 mm diameter is drilled at the mid-width of the beam at a distance
150 mm from the left end.
The beam thickness is the same as that determined in Part (a).
Can the beam survive 1,000 cycles of cyclic operation now? Justify your answer with
calculations.
h
250 mm
Actuator

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