Tube Under External Concentrated Load | Online Calculator

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Tube Under External Concentrated Load

In this calculation, a tube with a mean diameter D, length L, and wall thickness t is considered. The tube is under the influence of a force of magnitude F, concentrated on a small area and acting perpendicular to the tube axis. For the calculation, the elastic modulus E of the pipe should be specified.

As a result of calculation, the maximum stresses σ in the load application zone are determined. The total strain X is also calculated, which is the deflection of the deformed tube from the cylindrical surface.

Tube under concentrated loads
Calculation of the Tube under concentrated loads

INITIAL DATA

D - Mean tube diameter;


L - Tube length;


t - Wall thickness;


F - Concentrated load;


E - Young's modulus;


Calculation conditions:
0.5 < L/D < 9;
D/t > 20.

RESULTS DATA

σ - Maximum bending stress;


Х - Local deflection of the tube wall in the radial direction.

Diameter (D)

Length (L)

Wall thickness (t)

Force (F)

Young's modulus (E)

Maximum stress (σ)

Deflection (Х)

BASIC FORMULAS

Maximum stress (near the point of the load):

σ = 2.4F / t2;

Tube deflection in radial direction:

X = 6.5*F*(D / 2t)1.5 * (2L / D)-0.75

INITIAL DATA

D - Mean tube diameter;


L - Tube length;


t - Wall thickness;


F - Concentrated load;


E - Young's modulus.


Calculation conditions:
0.5 < L/D < 9;
D/t > 20.

RESULTS DATA

σ - Maximum bending stress;


Х - Local deflection of the tube wall in the radial direction.

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)

-

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