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Derivation of maximum normal stress at principal plane

Derivation of maximum normal stress at principal plane To find the maximum value of normal stress at some angle, we have to differentiate the normal stress transformation equation, (which we derived in...

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Shear stress equation on an oblique section of body

Shear stress equation on an oblique section of body: Below is the derivation of the shear stress equation on an oblique section of a body in terms of co-ordinate stresses.   The post Shear stress...

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Derivation of the angle at which shear stress is maximum

Derivation of the angle at which shear stress is maximum: Shear stress is maximum at 45 degree from the principal plane. Below is the derivation of the angle at which shear stress is maximum....

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Shear stress is zero at principal plane

Proof of the statement “Shear stress is zero at principal plane.” At principal plane shear stress is zero.  There is maximum direct or normal stress but no shear stress at principal plane. The post...

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Maximum principal stress theory of failure with equations

Maximum principal stress theory : This theory states that “A structural component will fail when maximum principal stress of the system will become equal to the yield strength of same material in a...

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Maximum Principal strain theory or Saint Venant theory with equation

Maximum principal strain theory : This theory states that “ Yielding in a member subjected to complex/compound stress system commences when maximum principal strain of the system becomes equal to the...

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Definition of Principal stresses | Principal plane | Principal Axis

Principal stresses : Principal stresses may be defined as ” The extreme values of the normal stresses possible in the material.” These are the maximum normal stress and the minimum normal stress....

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Strain measuring instruments | Strain Gauges

Strain measuring instruments : These are of the following types : Mechanical. Electrical. (Strain gauges) Photoelectrical. Basic working principle of strain gauges : In 1856, Kelvin observed that...

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Definition of shear Center

Shear Center  Shear center is defined as the point on the beam section where load is applied and no twisting is produced. At shear center, resultant of internal forces passes. On symmetrical sections,...

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Definition of Thin-walled open sections

Thin-walled open sections Thin-walled open sections may be defined as  The sections in which the thickness of material is small as compared with the overall geometry of the material and there is only...

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