Archive for the ‘Mechanics of Solids 2’ Category
Thin-walled open sections Thin-walled open sections may be defined as
Shear Center Shear center is defined as the point on the beam section where load is
Strain measuring instruments : These are of the following types : Mechanical. Electrical. (Strain gauges) Photoelectrical. Basic working principle of strain gauges :
Principal stresses : Principal stresses may be defined as ” The extreme values of the normal stresses possible in the material.”
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 strain corresponding to the yield
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
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.
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.
Shear stress equation on an oblique section of body: Below is the derivation of the shear stress equation on an oblique section of a
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 the previous article) with respect to dθ. Principal Plane : It is the plane at which normal stress attains the maximum value. Below is […]