Pipes and Shells Calculators

Filled Conical or Cylindrical Shell

In this calculation, a thin-walled conical or cylindrical shell with a diameter d at the base, thickness t and a generatrix inclination angle α is considered. The shell is filled with a fluid with density ρ up to level h.

As a result of calculations, the meridional σ₁ and circumferential σ₂ stresses are found at any calculated point of the shell, which is determined by level Y. The problem is solved for two options:

the shell is fixed on the bottom. In this case, the meridional stresses σ₁ are equal to zero;
the shell is fixed at the top edge. In this case, the meridional stresses are represented by the stresses arisen from the action of hydrostatic pressure and those due to the mass of the fluid below level Y. The own mass of the shell is not taken into account in this case.

Filled Conical Shell

Calculation of Filled Conical Shell

INITIAL DATA

d - Inner diameter of the cone bottom;

t - Wall thickness;

α - Generatrix slope. α = 0 for cylindrical shell;

h - Fluid level;

ρ - Fluid density;

Y - Height of the calculated point.

RESULTS DATA

σ₁ - Meridional stress at the calculated point;

σ₂ - Circumferential stress at the calculated point.

Metric Imperial

Cone diameter (d)

Wall thickness (t)

Slope (α)

Fluid level (h)

Fluid density (ρ)

Height (y)

Cone top fixed

Cone bottom fixed

Meridional stress (σ₁)

Circumferential stress (σ₂)

BASIC FORMULAS

Meridional stress for cone top fixed:

σ₁ = ρ*g*(h - Y)*r_Y / [2t*cosα] + [m_fluid*g] / [2π*r_Y*t*cos(a)];

m_fluid - fluid weight under Y level;

r_Y - cone radius at calculated point;

Meridional stress for cone bottom fixed:

σ₁ = 0;

Circumferential stress in both cases:

σ₂ = ρ*g*(h - Y)*r_Y / (t*cosα).

INITIAL DATA

d - Inner diameter of the cone bottom;

t - Wall thickness;

α - Generatrix slope. α = 0 for cylindrical shell;

h - Fluid level;

ρ - Fluid density;

Y - Height of the calculated point.

RESULTS DATA

σ₁ - Meridional stress at the calculated point;

σ₂ - Circumferential stress at the calculated point.

OTHER CALCULATORS

AREA MOMENTS OF INERTIA

BEAM CALCULATORS

TORSION OF BARS

CIRCULAR FLAT PLATES

BUCKLING

ELASTIC CONTACT

IMPACT LOADS

NATURAL FREQUENCIES

PRESSURED SHELLS

FLUID DYNAMIC

COMPOSITES

SPRINGS

THREAD CONNECTIONS

SHAFT CONNECTIONS

BEARINGS

DRIVES

FATIGUE

HEAT TRANSFER