Question
Download Solution PDFDetermine the load factor and factor of safety of a two-span continuous beam as shown in the figure below:
The plastic moment and elastic moment of the beam are 150 kN-m and 100 kN-m respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given Data:
Mp = 150 kN-m
Me = 100 kN-m
Collapse load for the each span of the given beam is
Wu = 6Mp/L1
Total Collapse load for the given beam is
Wu = (6Mp/L1)+(6Mp/L2) = 12Mp/5 = 12×150/5 = 360 kN
Working load on the given beam is
Ww = 30 + 30 = 60 kN
Load Factor is
= Wu/Ww = 360/60 = 6
Shape factor = Mp/Me = 150/100 = 1.5
FOS = Load factor/Shape factor = 6/1.5 = 4
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