Buckling of Conical Shell | Online Calculator

Buckling Calculators







Buckling of Conical Shell

In this calculation, a conical shell with a base diameter D, apex diameter d, height H and wall thickness s is considered. Shell edges are simply supported. Following the calculations, the critical axial load F, the excess of which causes a loss of stability of the first form is determined. According to the calculation conditions, the cone stresses should not exceed the yield strength of the material.

For the calculation, the elastic modulus E of the bar should be specified.

Buckling of Conical Shell
Calculation of Buckling of Conical Shell

INITIAL DATA

D - Cone base diameter;


d - Cone apex diameter;


H - Cone height;


t - Cone wall thickness;


E - Young's modulus.

RESULTS DATA

F - Critical axial load of buckling.

Diameter (D)

Diameter (d)

Height (H)

Thickness (t)

Young's modulus (E)

Critical buckling load (F)

BASIC FORMULAS

Critical load:

F = 0.6π*E*t2*H2 / [H2 + (D/2 - d/2)2]

INITIAL DATA

D - Cone base diameter;


d - Cone apex diameter;


H - Cone height;


t - Cone wall thickness;


E - Young's modulus.

RESULTS DATA

F - Critical axial load of buckling.

MATERIALS PROPERTIES

Material

Young’s modulus

Pa (psi)

Poisson’s ratio

Steel

1.86÷2.1×1011 (2.7÷3.05×107)

0.25÷0.33

Cast iron

0.78÷1.47×1011 (1.1÷2.1×107)

0.23÷0.27

Copper

1.0÷1.3×1011 (1.45÷1.9×107)

0.34

Tin bronze

0.74÷1.22×1011 (1.1÷1.8×107)

0.32÷0.35

Brass

0.98÷1.08×1011 (1.4÷1.6×107)

0.32÷0.34

Aluminum alloy

0.7×1011 (1.0×107)

0.33

Magnesium alloy

0.4÷0.44×1011 (5.8÷6.4×106)

0.34

Nickel

2.5×1011 (3.6×107)

0.33

Titanium

1.16×1011 (1.7×107)

0.32

Lead

0.15÷0.2×1011 (2.2÷2.9×106)

0.42

Zinc

0.78×1011 (1.1×107)

0.27

Glass

4.9÷5.9×1010 (7.1÷8.5×106)

0.24÷0.27

Concrete

1.48÷2.25×1010 (2.1÷3.3×106)

0.16÷0.18

Wood (along the grain)

8.8÷15.7×1010 (12.8÷22.8×106)

-

Wood (across the grain)

3.9÷9.8×1010 (5.7÷14.2×106)

-

Nylon

1.03×1010 (1.5×106)

-

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