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2.24 A rubber bearing pad under the steel girder above is used to produce a relatively uniform bearing stress on the concrete below. The literature from the pad manufacturer suggests that strain in the particular bearing pad should not exceed 12%. Due to the dead loading of the structure's weight, the pad is already strained by 3%. Say the live loads could produce an additional 0.25 in. of vertical motion of the girder, which must be tolerated. Determine the acceptable range of pad thicknesses that keeps strains below the maximum allowable strain.

2.24 A rubber bearing pad under the steel girder above is used to produce a relatively uniform bearing stress on the concrete below. The literature from the pad manufacturer suggests that strain in the particular bearing pad should not exceed 12%. Due to the dead loading of the structure's weight, the pad is already strained by 3%. Say the live loads could produce an additional 0.25 in. of vertical motion of the girder, which must be tolerated. Determine the acceptable range of pad thicknesses that keeps strains below the maximum allowable strain.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2.24 A rubber bearing pad under the steel girder above is used to produce a relatively uniform bearing stress on the concrete below. The literature from the pad manufacturer suggests that strain in the particular bearing pad should not exceed 12%. Due to the dead loading of the structure's weight, the pad is already strained by 3%. Say the live loads could produce an additional 0.25 in. of vertical motion of the girder, which must be tolerated. Determine the acceptable range of pad thicknesses that keeps strains below the maximum allowable strain. Prob. 2.24
Transcribed Image Text:2.24 A rubber bearing pad under the steel girder above is used to produce a relatively uniform bearing stress on the concrete below. The literature from the pad manufacturer suggests that strain in the particular bearing pad should not exceed 12%. Due to the dead loading of the structure's weight, the pad is already strained by 3%. Say the live loads could produce an additional 0.25 in. of vertical motion of the girder, which must be tolerated. Determine the acceptable range of pad thicknesses that keeps strains below the maximum allowable strain. Prob. 2.24
Expert Solution
Step 1

Given Data

  • The maximum allowable strain is: εall=12%=0.12
  • Assume that the thickness of the rubber pad is: t
  • Strain caused by the dead loads is: εd=3%=0.03
  • The compression due to the live load is: C=0.25 in

To Determine

The acceptable range of pad thickness that keeps strain below the maximum alowable strain

steps

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