# The Theory of Axial Load Explained With Diagram and Examples

A force can act on an object in various ways. One such force is axial load. This ScienceStruck post brings to you the definition of axial load, and also the formula for axial load calculation for better understanding.

Anup Patwardhan

Last Updated: Apr 28, 2018

Did You Know?

Along with the axial load, a 'radial load' also acts on an object, and the combination of these two loads is known as 'combined load'.

Explanation of Axial Load

The strength of a material can be known with the help of axial load. The axial load of an object is responsible for the force which passes through the center of the object, is parallel to its axis of rotation, and perpendicular to the plane of cross-section. The force owing to the axial load acts on the central axis of the object, and it can be a compressing or stretching force. The central axis, or the axis of rotation of an object, is that axis around which the object can spin.

Diagram for Axial Load

The axial load 'f', which is along the axis of rotation of the object, and passing through the centroid, is due to the mass 'm' of the load on top.

Axial Load Calculation

The formula to calculate the stress due to axial load is,

Here,

σ = The stress caused by the axial load.

F = The force generated by the axial load.

A = The area of the cross-section.

The force generated (F) is,

Where 'm' is the mass of the load, and 'a' is its acceleration.

The axial load will also result in deflection, which is,

Here,

F = The force generated by the load.

L = Length of the object.

A = Area of cross-section.

E = Young's Modulus.

The tendency of an elastic to overcome the deformation it faces is its stiffness, and Young's modulus is the measure of this stiffness.

**σ = F/A**

Here,

σ = The stress caused by the axial load.

F = The force generated by the axial load.

A = The area of the cross-section.

The force generated (F) is,

**F = ma**

Where 'm' is the mass of the load, and 'a' is its acceleration.

The axial load will also result in deflection, which is,

**δ = FL/AE**Here,

F = The force generated by the load.

L = Length of the object.

A = Area of cross-section.

E = Young's Modulus.

The tendency of an elastic to overcome the deformation it faces is its stiffness, and Young's modulus is the measure of this stiffness.

Example

In the above diagram, assume that the cylinder is made of stainless steel, the Young's Modulus value of which is 180 GPa, having a radius of 0.25 m, and a length 1 m. The gravitational acceleration acts on the load, the value of which is 9.8m/s

F = m × a

= 10 × 9.8

= 98 N

Thus, the force generated by the load is 98 N. The area of the cross-section is,

A = 3.14 × 0.25

The stress due to this axial load can be calculated as,

σ = 98/0.196

Thus, the value of the stress caused by the axial load is 500 Pa.

The deflection is,

δ = (98 × 1)/(0.196 × 180)

Thus, the deflection caused by the load is 0.28 m.

The radial load is completely opposite to the axial load, and it acts along the radius of the object. This load is parallel to the surface of the object, i.e., it is perpendicular to the axis of rotation of the object, and also the axial load, if any.

^{2}. Assume that the mass of the load acting on it is 10 Kg. Now, the force created by the load can be calculated as,F = m × a

= 10 × 9.8

= 98 N

Thus, the force generated by the load is 98 N. The area of the cross-section is,

A = 3.14 × 0.25

^{2}= 0.196 m^{2}The stress due to this axial load can be calculated as,

σ = 98/0.196

Thus, the value of the stress caused by the axial load is 500 Pa.

The deflection is,

δ = (98 × 1)/(0.196 × 180)

Thus, the deflection caused by the load is 0.28 m.

The radial load is completely opposite to the axial load, and it acts along the radius of the object. This load is parallel to the surface of the object, i.e., it is perpendicular to the axis of rotation of the object, and also the axial load, if any.