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 + 88 N/mm2 to –38 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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.9.4P: Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the...
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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 + 88 N/mm2 to –38 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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