Circular Bar Civil Engineering (CE) Notes | EduRev

Advanced Solid Mechanics - Notes, Videos, MCQs & PPTs

Civil Engineering (CE) : Circular Bar Civil Engineering (CE) Notes | EduRev

The document Circular Bar Civil Engineering (CE) Notes | EduRev is a part of the Civil Engineering (CE) Course Advanced Solid Mechanics - Notes, Videos, MCQs & PPTs.
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Circular bar 

As discussed, for illustration, we consider a bar with solid circular cross section of radius R, as shown in figure 9.6. From the general expression for

Circular Bar Civil Engineering (CE) Notes | EduRev

 

Figure 9.7: Shear stresses in a bar with solid circular cross section subjected to end torsion

torsion of a thick walled close section (9.17), we find that the shear stresses in the bar is given by,

 

Circular Bar Civil Engineering (CE) Notes | EduRev                     (9.18)

where we have computed Circular Bar Civil Engineering (CE) Notes | EduRev Thus, we find that the shear stress varies linearly with the radial distance, as shown in figure 9.7.

Then, the angle of twist per unit length, Ω is also obtained from (9.17) as,

 

Circular Bar Civil Engineering (CE) Notes | EduRev              (9.19)

Having determined the angle of twist per unit length, the entire displacement eld corresponding to an applied torque, T given by equation (9.8) is known.
The same is plotted in figure 9.8.

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