How do you find the stress of a sphere?

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How do you find the stress of a sphere?

To calculate hoop stress of a sphere:

  1. Multiply internal pressure and diameter of the shell.
  2. Divide the resultant with four times the thickness.
  3. Divide the resultant with joint efficiency.

What are the stresses developed in a spherical shell?

Stress acting along the circumference of thin spherical shell will be termed as circumferential stress or hoop stress. Let us consider here following terms to derive the expression for circumferential stress or hoop stress developed in the wall of thin spherical shell.

What is radial stress in a thin spherical pressure vessel?

Radial stress is the third—this is the stress “through the radius”—going “outwards from center”. For most pressure vessels, the wall is fairly thin and thus the radial stress is quite modest. But the radial stress is the stress “through the thickness” of the wall.

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What is the longitudinal stress?

Longitudinal stress is defined as the stress produced when a pipe is subjected to internal pressure. The direction of the longitudinal stress in a pipe is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of the pipe’s length.

What is thin spherical shell?

In geometry, a spherical shell is a generalization of an annulus to three dimensions. It is the region of a ball between two concentric spheres of differing radii.

What is the moment of inertia of a spherical shell?

Using the formula for the moment of inertia of a uniform sphere, the moment of inertia of a thin spherical layer of mass m and radius R relative to the axis passing through its centre is I=x2​mr2.

What is Lame’s equation based on?

Lame’s equation is based on the maximum principal stress theory of failure, as this theory is more suitable for brittle materials, Lame’s equation is also applicable to brittle materials like Cast iron or Cast Steel.

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Is hoop stress the same as radial stress?

circumferential stress, or hoop stress, a normal stress in the tangential (azimuth) direction. radial stress, a normal stress in directions coplanar with but perpendicular to the symmetry axis.

How do you find the stress of an object?

Stress

  1. Stress is defined as the force per unit area of a material.
  2. i.e. Stress = force / cross sectional area:
  3. Strain is defined as extension per unit length.
  4. Strain = extension / original length.
  5. Strain has no units because it is a ratio of lengths.