The distribution of torsion shear stress is uniform in __________a)Par...
The distribution of torsion shear stress is uniform in circular sections where the magnitude of the shear stress is proportional to the distance from the center and in case of non circular sections involving warping of the cross section, approximate formula have been proposed based on elastic analysis.
The distribution of torsion shear stress is uniform in __________a)Par...
Torsion shear stress refers to the shear stress that occurs in a structural member due to the application of torsional forces. When a member is subjected to torsion, it experiences shear stress that varies along its cross-section. The distribution of torsion shear stress can be different depending on the shape of the cross-section.
The correct answer to the given question is option C, trapezoidal sections. In trapezoidal sections, the distribution of torsion shear stress is uniform. This means that the shear stress is constant at every point along the cross-section.
To understand why the distribution of torsion shear stress is uniform in trapezoidal sections, let's consider the following points:
1. Torsion in trapezoidal sections: When a trapezoidal section is subjected to torsion, the applied torque causes the section to twist. This twisting action induces shear stresses in the cross-section.
2. Symmetry of trapezoidal sections: Trapezoidal sections have a symmetrical shape. The top and bottom faces of the section are parallel, and the side faces are inclined at an angle. This symmetry ensures that the distribution of shear stress is uniform across the section.
3. Constant shear flow: In trapezoidal sections, the shear flow (shear stress multiplied by the thickness of the section) is constant along the perimeter of the section. This constant shear flow results in a uniform distribution of torsion shear stress.
4. No concentration of stress: Unlike other section shapes, such as circular sections or rectangular sections, trapezoidal sections do not have stress concentration points. Stress concentration points can lead to localized high shear stress, but trapezoidal sections distribute the shear stress evenly throughout the cross-section.
In summary, trapezoidal sections have a uniform distribution of torsion shear stress because of their symmetrical shape and constant shear flow. This uniform distribution ensures that the section can withstand torsional forces without any localized stress concentration points.