Pipes and Shells Calculators

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.

Metric Imperial

Diameter (D)

Length (L)

Wall thickness (t)

Force (F)

Young's modulus (E)

Maximum stress (σ)

Deflection (Х)

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BASIC FORMULAS

Maximum stress (near the point of the load):

σ = 2.4F / t²;

Tube deflection in radial direction:

X = 6.5*(F/Et)*(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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