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Zorluk: Çok zorTypes of Stress and Strain

When a solid cylindrical drive shaft transmits rotational power (torque), the internal shear stress generated by the torsion is at its maximum at the central longitudinal axis of the shaft and decreases to zero at its outer surface.

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Cevap

False
When a solid shaft is subjected to torsion, the internal shear stress is directly proportional to the distance from the central axis. This means the central longitudinal axis experiences zero stress, while the extreme outer surface of the shaft experiences the maximum shear stress.

Adım Adım Çözüm

1
Identify the type of internal stress applied to the drive shaft.
The transmission of torque induces torsional shear stress within the material of the solid cylindrical shaft.
Understanding the loading condition is required to determine the structural stress distribution profile.
2
Recall the principles of torsional mechanics regarding stress distribution across a cross-section.
In a solid circular shaft, shear strain increases linearly with the radial distance from the central longitudinal axis.
This fundamental rule dictates where the material experiences the highest and lowest levels of stress.
3
Determine the locations of maximum and minimum shear stress.
At the central axis (where radius equals zero), the shear stress is zero. At the outer surface (where radius is at its maximum), the shear stress is at its absolute maximum.
To establish the factual reality of the stress distribution under torsion.
4
Evaluate the provided statement against the factual stress distribution.
The statement claims the exact opposite of reality (asserting maximum stress is at the center and zero at the surface). Therefore, the statement is false.
To derive the final answer for the true/false evaluation.

Anahtar Kavram

Torsional Shear Stress Distribution
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Konular

Types of Stress and Strain

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