21 A simply supported beam of circular cross-section made up of hot rolled steel is subjected toa fluctuating load that varies from -F to +3F.Determine the minimum ultimate strength of thebeam material which can withstand the fluctuatingloads. The variable forces on the beam inducecorresponding fluctuating stresses between + 82N/mm2 to -36 N/mm2. Assume the followingvalues: Yield strength = 0.55 ultimate strength,endurance stress = 0.45 ultimate strength. Take afactor of safety = 2. Use Soderberg relation in yourdesign,i) Calculate the mean stress in N/mm2 and variablestress in N/mm²ii) Calculate the Ultimate Strength in N/mm2iii) Calculate the endurance strength in N/mm2

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Answered: i) Calculate the mean stress in N/mm2…

i) Calculate the mean stress in N/mm2 and variable stress in N/mm² ii) Calculate the Ultimate Strength in N/mm2 ii) Calculate the endurance strength in N/mm2

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

21 A simply supported beam of circular cross-
section made up of hot rolled steel is subjected to
a fluctuating load that varies from -F to +3F.
Determine the minimum ultimate strength of the
beam material which can withstand the fluctuating
loads. The variable forces on the beam induce
corresponding fluctuating stresses between + 82
N/mm2 to -36 N/mm2. Assume the following
values: Yield strength = 0.55 ultimate strength,
endurance stress = 0.45 ultimate strength. Take a
factor of safety = 2. Use Soderberg relation in your
design,
i) Calculate the mean stress in N/mm2 and variable
stress in N/mm²
ii) Calculate the Ultimate Strength in N/mm2
iii) Calculate the endurance strength in N/mm2

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