Contact Interaction Calculators

Cylindrical Block and Flat Plate Contact

In this calculation, a contact of the rigid cylindrical block with a diameter D, and a flat plate is considered.

The cylindrical block is under load F, which is transferred to the plate through the contact zone. As a result of calculations, the maximum stress σ, arisen on the border of the cylindrical block is determined, as well as the deformations Y of the plate in the direction of the load action.

For the calculation, the elastic modulus E and Poisson's ratio ν of the plate should be specified.

Cylindrical die and flat plate contact

Calculation of Cylindrical block and flat plate contact

INITIAL DATA

Е - Young's modulus of the flat plate;

ν - Poisson ratio of the flat plate;

D - Cylinder diameter;

F - Load.

RESULTS DATA

σ - Maximum stress at the contact area (near the die edge);

Y - Total deformation at the contact area in the load direction.

Metric Imperial

Young's modulus (Е)

Poisson ratio of plate (ν)

Diameter (D)

Load (F)

Stress at contact area (σ)

Deformation (Y)

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BASIC FORMULAS

Stress at contact area:

σ = F / (0.22*π*D²);

Deformation:

Y = F(1 - ν²) / E*D

INITIAL DATA

Е - Young's modulus of the flat plate;

ν - Poisson ratio of the flat plate;

D - Cylinder diameter;

F - Load.

RESULTS DATA

σ - Maximum stress at the contact area (near the die edge);

Y - Total deformation at contact area in the load 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)	-

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