Question
Download Solution PDFThe value of maximum shear force in a rectangular section of a beam having a depth of 150 mm is 50 kN. Calculate the width of the beam section if the allowable maximum shear stress of the material is 5 MPa.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The maximum shear stress of a rectangular beam section is:
τmax = 1.5τavg
τmax = 1.5 \(\frac{V}{bd}\)
Here, V = Total force on the beam
b = Width of the beam
d = depth of the beam
The maximum shear stress of a circular beam section is:
τmax = 1.33τavg
Calculation:
Given that,
Shear force = 50 kn
Depth of the beam = 150 mm
Maximum shear stress = 5 Mpa
τmax = 1.5τavg
τmax = 1.5 \(\frac{V}{bd}\)
5 = \(\frac{1.5\times50\times1000}{150\times b}\)
b = 100 mm
So the width of the beam = 100 mm
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