Torsion of an I-beam | Online Calculator

Torsion of Bars Calculators







Torsion of an I-beam

In this calculation, an I-beam of length L, cross-sectional dimensions a × b, wall thickness c, shelf thickness d and inner radius of curvature R is considered.

The I-beam is under torque T, applied to the end. Following the calculations, the total twist angle φ and the maximum shear stresses τ in the section are determined.

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

I-beam under torsion load
Calculation of I-beam under torsion load

INITIAL DATA

a - Width of the I-beam cross-section;


b - Height of the I-beam cross-section;


c - Wall thickness;


d - Shelf thickness;


R - Radius of curvature;


L - Bar length;


Т - Torque;


ν - Poisson's ratio;


Е - Young's modulus.

RESULTS DATA

τ - Maximum shear stress in the cross-section;


φ - Twist angle.

Width (a)

Height (b)

Thickness (c)

Thickness (d)

Radius (R)

Bar length (L)

Torque (Т)

Poisson's ratio (ν)

Young's modulus (Е)

Shear stress (τ)

Twist angle (φ)

BASIC FORMULAS

Shear stress and twist angle are determined by parametric equations of the form:

τ = TK2 / K1;

φ = TL / K1G;

G - Shear modulus;

K1, K2 - coefficients, depending on the dimensions of the I-beam cross-section.

INITIAL DATA

a - Width of the I-beam cross-section;


b - Height of the I-beam cross-section;


c - Wall thickness;


d - Shelf thickness;


R - Radius of curvature;


L - Bar length;


Т - Torque;


ν - Poisson's ratio;


Е - Young's modulus.

RESULTS DATA

τ - Maximum shear stress in the cross-section;


φ - Twist angle.

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