width of the bar = 45 mm; thickness of the bar = 14 mm; diameter of the pin = 19 mm; yield strength of the bar material = 425 MPa; required factor of safety against yielding failure = 1.9; bearing strength of the bar material = 410 MPa; required factor of safety against bearing failure = 2.2; shear strength of the pin material = 600 MPa; and required factor of safety against shear failure = 2.3. Detrmine max allowable P

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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width of the bar = 45 mm; thickness of the bar = 14 mm; diameter of the pin = 19 mm; yield strength of the bar material = 425 MPa; required factor of safety against yielding failure = 1.9; bearing strength of the bar material = 410 MPa; required factor of safety against bearing failure = 2.2; shear strength of the pin material = 600 MPa; and required factor of safety against shear failure = 2.3.

Detrmine max allowable P

L
Bracket
P
Pin
Bar
Transcribed Image Text:L Bracket P Pin Bar
Expert Solution
Step 1

Given data:

Width of the bar, b=45 mm

Thickness of the bar: t = 14 mm

Diameter of the pin: d = 19 mm

Yield strength of the bar material: fy=425 Mpa or 425 N/mm2

Factor of safety against yielding failure: FOSy=1.9

Bearing strength of the bar material: fb=410 Mpa or 410 N/mm2

Factor of safety against bearing failure: FOSb=2.2

Shearing strength of the pin material: fs=600 Mpa or 600 N/mm2

Factor of safety against bearing shearing failure: FOSs=2.3

 

To determine the maximum allowable P, we calculate the minimum load for the failure of the connection. A connection can fail in one of the following mode:

  • Yield failure of the bar
  • Bearing failure of the bar
  • Shearing failure of the pin

A minimum value of the above will be the maximum allowable load P.

 

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