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Contents of the Rolling Process PDF

List of 18 Rolling Process Formulas

Angle Subtended by Neutral Point

Bite Angle

Factor H at Neutral Point

Factor H used in Rolling Calculations

Initial Stock Thickness given Pressure on Rolls

Maximum Reduction in Thickness Possible

Mean Yield Shear Stress given Pressure on Entry Side

Mean Yield Shear Stress using Pressure on Exit Side

Pressure Acting on Rolls from Entry Side

Pressure Acting on Rolls in Exit Region

Pressure Considering Rolling Similar to Plane-Strain-Upsetting Process

Pressure on Rolls given H (Entry Side)

Pressure on Rolls given H (Exit Side)

Projected Area

Projected Length

Thickness of Stock at given Point on Entry Side

Thickness of Stock at given Point on Exit Side

Total Elongation of Stock

Variables used in Rolling Process PDF

A Projected Area (Square Centimeter)
A_f Final Cross Sectional Area (Square Centimeter)
A_i Initial Cross Sectional Area (Square Centimeter)
b Strip Width of Spiral Spring (Millimeter)
E Total Stock or Workpiece Elongation
h Height (Millimeter)
H Factor H at given Point on Workpiece
h_e Thickness at Entry (Millimeter)
h_f Final Thickness after Rolling (Millimeter)
h_fi Thickness after Rolling (Millimeter)
h_ft Final Thickness (Millimeter)
h_i Thickness before Rolling (Millimeter)
H_i Factor H at Entry Point on Workpiece
h_in Initial Thickness (Millimeter)
H_in Factor H at the Entry Point on Workpiece
H_n Factor H at Neutral Point
H_r Factor H in Rolling Calculation
h_s Thickness at given Point (Millimeter)
h_t Initial Stock Thickness (Millimeter)
h_x Thickness at the given Point (Millimeter)
H_x Factor H at a given Point on Workpiece
L Projected Length (Millimeter)
P Pressure Acting on Rolls (Newton per Square Millimeter)
P_e Pressure Acting at Entry (Newton per Square Millimeter)
P_ex Pressure Acting on Exit (Newton per Square Millimeter)
P_r Pressure Acting while Rolling (Newton per Square Millimeter)
P_rolls Pressure on Rolls (Newton per Square Millimeter)
R Roller Radius (Millimeter)
R_roll Roll Radius (Millimeter)
R_roller The Roller Radius (Millimeter)
S Mean Yield Shear Stress of Work Material
S_e Mean Yield Shear Stress at Entry
S_y Mean Yield Shear Stress in RP
w Width (Millimeter)
α_b Bite Angle (Degree)
α_bite Angle of Bite (Degree)
Δt Change in Thickness (Millimeter)
Θ Angle made by given Point Roll Center and Normal (Degree)
Θ_cn Angle made by Roll Center and Normal (Degree)
Θ_r Angle made by Point Roll Center and Normal (Degree)
μ_friction Friction Coefficient
μ_r Coefficient of Friction in RP
μ_rp Coefficient of Friction
μ_{shear factor} Frictional Shear Factor
σ Flow Stress of Work Material (Newton per Square Millimeter)
φ_N Angle subtended at Neutral Point (Degree)

Constants, Functions and Measurements used in Rolling Process PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: acos, acos(Number)
The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
Function: atan, atan(Number)
Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: exp, exp(Number)
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Function: ln, ln(Number)
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Function: tan, tan(Angle)
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Measurement: Length in Millimeter (mm)
Length Unit Conversion
Measurement: Area in Square Centimeter (cm²)
Area Unit Conversion
Measurement: Pressure in Newton per Square Millimeter (N/mm²)
Pressure Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion

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