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Complimentary shear stresses are
- a)equal both in magnitude and sign
- b)equal in magnitude but opposite in sign
- c)unequal in magnitude but of same sign
- d)equal in magnitude, and the direction may be same or opposite
Correct answer is option 'B'. Can you explain this answer?
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Complimentary shear stresses area)equal both in magnitude and signb)eq...
**Complimentary Shear Stresses:**
Complimentary shear stresses refer to shear stresses acting on two mutually perpendicular planes in a solid material. These shear stresses are equal in magnitude but opposite in sign.
**Explanation:**
When a solid material is subjected to shear stress, it deforms and experiences internal forces. These internal forces can be resolved into normal stresses and shear stresses acting on different planes within the material.
When considering shear stresses on two mutually perpendicular planes, they are called complimentary shear stresses. The magnitudes of these shear stresses are equal, but their signs are opposite.
**Example:**
Let's consider a simple example to understand this concept. Suppose a rectangular block is subjected to shear stress along the x-axis. The shear stress acting on the xz-plane will be positive, indicating a shear force in the positive x-direction. Simultaneously, the shear stress acting on the yz-plane will be negative, indicating a shear force in the negative x-direction.
This means that the shear stress acting on the xz-plane and the shear stress acting on the yz-plane are equal in magnitude but opposite in sign. They are complimentary shear stresses.
**Importance:**
Complimentary shear stresses are essential in understanding the distribution of internal forces within a material. They help in analyzing the deformation and failure of structural components when subjected to shear stress. By considering the complimentary shear stresses, engineers can design structures that can withstand these forces without failure.
In conclusion, complimentary shear stresses are equal in magnitude but opposite in sign. They play a significant role in understanding the behavior of materials under shear stress and are essential in engineering design and analysis.
Complimentary shear stresses refer to shear stresses acting on two mutually perpendicular planes in a solid material. These shear stresses are equal in magnitude but opposite in sign.
**Explanation:**
When a solid material is subjected to shear stress, it deforms and experiences internal forces. These internal forces can be resolved into normal stresses and shear stresses acting on different planes within the material.
When considering shear stresses on two mutually perpendicular planes, they are called complimentary shear stresses. The magnitudes of these shear stresses are equal, but their signs are opposite.
**Example:**
Let's consider a simple example to understand this concept. Suppose a rectangular block is subjected to shear stress along the x-axis. The shear stress acting on the xz-plane will be positive, indicating a shear force in the positive x-direction. Simultaneously, the shear stress acting on the yz-plane will be negative, indicating a shear force in the negative x-direction.
This means that the shear stress acting on the xz-plane and the shear stress acting on the yz-plane are equal in magnitude but opposite in sign. They are complimentary shear stresses.
**Importance:**
Complimentary shear stresses are essential in understanding the distribution of internal forces within a material. They help in analyzing the deformation and failure of structural components when subjected to shear stress. By considering the complimentary shear stresses, engineers can design structures that can withstand these forces without failure.
In conclusion, complimentary shear stresses are equal in magnitude but opposite in sign. They play a significant role in understanding the behavior of materials under shear stress and are essential in engineering design and analysis.
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Complimentary shear stresses area)equal both in magnitude and signb)eq...
Complementary shear Stress: When ever a shear stress 'T' is applied on parallel surface
of body then to keep the body in equilibrium a shear stress'T'' is induced on remaining surface of body. These stresses form a couple. The couple form due to shear stress produces clockwise moment. For equilibrium this couple is balanced by couple developed by T. This resisting shear stress T is known as complementary shear stress.
of body then to keep the body in equilibrium a shear stress'T'' is induced on remaining surface of body. These stresses form a couple. The couple form due to shear stress produces clockwise moment. For equilibrium this couple is balanced by couple developed by T. This resisting shear stress T is known as complementary shear stress.
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Complimentary shear stresses area)equal both in magnitude and signb)equal in magnitude but opposite in signc)unequal in magnitude but of same signd)equal in magnitude, and the direction may be same or oppositeCorrect answer is option 'B'. Can you explain this answer?
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