Determine the value of the maximum shear stress, Mechanical Engineering

Determine the value of the maximum shear stress:

A circular beam of 100 mm diameter is subjected to a shear force of 5 kN. Determine the value of the maximum shear stress & also draw the shear stress distribution diagram.

747_Determine the value of the maximum shear stress.png

            Beam Cross-section                 Shear Stress Distribution

Figure

Solution

Diameter of beam = 100 mm

Area of cross section of beam = (π/4) × (100)2 = 7854 mm2

Shear force, F = 5 kN = 5000 N

We have,

              τ max    =  (4/3) × (F/ Cross-sectional area)

∴          τ max = ( 4/3) × (5000 /7854)= 0.849 N/mm2    3         

Average shear stress = 0.6366 N/mm2           

Minimum shear stress = 0.849 N/mm2

Posted Date: 1/21/2013 7:48:43 AM | Location : United States






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