The formula and value of the cross section modulus are calculated

There are not only normal stresses but also shear stresses in the cross-section.

Due to the shear stress, the cross-section is warped and the plane assumption is no longer true.

However, further theoretical analysis proves that the normal stress of transverse bending of a long beam with a span length to cross-section height ratio l h>5 is calculated by using the formula δ=my i, and the error obtained is very small, which is enough to meet the actual needs of the project. where w = i y, w is called the bending section coefficient.

1. Resistance moment of rectangular cross-section:

where b is and bending moment.

The length in the vertical direction.

2. Resistance moment of circular cross-section: when bending resistant.

where d is the diameter, when torsional.

3. Resistance moment of torus section: when bending.

Torsion-resistant. <>

Formula: i2=i0+s r 2

The moment of inertia of the cross-section of the bent member about its neutral axis is divided by the distance from the neutral axis to the outermost edge of the section. When uniaxial symmetrical, there is a maximum section modulus and a minimum section modulus.

If the two wings are the same, the calculation is simpler, and the axis of rotation is in the center, equal to the sum of the moments of inertia of the sections of the three rectangles to the central axis. Not to mention the web, it is the moment of inertia of the rectangular section facing its own central axis.

The moment of inertia of each wing plate is equal to the modulus of its own central axis plus the increased modulus after the tilt shift. The modulus formula after tilt shift is: i2=i0+s r 2;where i2 is the moment of inertia after the tilt shift, i0 is the moment of inertia of the rectangular section facing its own axis before the tilt shift, s is the area of the cross-section, and r is the distance between the two axes (the distance the axis moves).

Rectangular cross-section resistance moment: Sega w=b*(H2) 6;where b is and bending moment.

The length in the vertical direction.

Resistance moment of circular cross-section: refers to the bending resistance of filial piety, w= *d 3) 32;When torsional, w= *d 3) 16;(where d is the diameter).

Toroidal cross-section resistance moment: when bending, w= (only manuscript d 4-d 4) (32d); When torsional, w = (d 4-d 4) (16d).

The cross-sectional modulus, also known as the cross-sectional resistance moment, is the moment of inertia of the cross-section of the bent member around its neutral axis.

Divided by the distance from the neutral axis to the outermost edge of the cross-section, the cross-sectional moment of resistance (w) is the centroid of the cross-section.

The ratio of the moment of inertia of the axis to the distance from the farthest point on the section to the mandrel axis.

The different formulas for calculating the cross-sectional modulus are as follows:

1.Rectangular section resistance moment:

where b is the length perpendicular to the bending moment).

2.Moment of resistance of a circular cross-section:

<> when bending

(where d is the diameter).

Torsion-resistant.

3.Torus Section Resistance Moment:

<> when bending

Torsion-resistant.

The different formulas for calculating the cross-sectional modulus are as follows:

1.Rectangular section resistance moment:

where b is the length perpendicular to the bending moment).

2.Moment of resistance of a circular cross-section:

<> when bending

(where d is the diameter).

Torsion-resistant.

3.Torus Section Resistance Moment:

<> when bending

Torsion-resistant.

The different formulas for calculating the cross-sectional modulus are as follows:

1.Rectangular section resistance moment:

where b is the length perpendicular to the bending moment).

2.Moment of resistance of a circular cross-section:

<> when bending

(where d is the diameter).

Torsion-resistant.

3.Torus Section Resistance Moment:

<> when bending

Torsion-resistant.

The different formulas for calculating the cross-sectional modulus are as follows:

1.Rectangular section resistance moment:

where b is the length perpendicular to the bending moment).

2.Moment of resistance of a circular cross-section:

<> when bending

(where d is the diameter).

Torsion-resistant.

3.Torus Section Resistance Moment:

<> when bending

Torsion-resistant.

Summary. The cross-sectional modulus is also called the cross-sectional resistance moment, the moment of inertia of the cross-section of the bent member around its neutral axis divided by the distance from the neutral axis to the outermost edge of the cross-section, and the cross-sectional resistance moment (w) is the ratio of the moment of inertia of the cross-section to the farthest point on the cross-section to the core.

The cross-sectional modulus is also called the cross-sectional search resistance moment, the moment of inertia of the cross-section of the bent member around the neutral axis of the Shipai divided by the distance from the neutral axis to the outermost edge of the cross-section, and the cross-sectional resistance moment (envy w) is the ratio of the moment of inertia of the cross-section to the farthest point on the cross-section to the mandrel of the shape.

Rectangular cross-section resistance moment: w=b*(h2) 6;(where b is the length perpendicular to the bending moment) the resistance moment of the circular cross-section: w= *d 3) 32;When torsional, w= *d 3) 16;(where d is the diameter of the judging brigade) torus cross-section resistance moment:

When bending resistant, w= (d 4-d 4) (32d); When the digging stool is torsional, w = (d 4-d 4) (16d). High volume.