What are point load and uniformly distributed load (UDL)?

Short Answer:

point load is a load that acts on a single specific point of a beam or structure. It is assumed to be concentrated at one position and causes a sudden change in shear force and a linear change in the bending moment. Examples include a person standing on a plank or a heavy object placed at one spot.

uniformly distributed load (UDL) is a load that acts evenly over the entire length or a part of the beam. The load intensity is constant throughout, and it causes a gradual change in shear force and a parabolic variation in the bending moment. Examples include the self-weight of a beam or roof load distributed evenly.

Detailed Explanation:

Point Load and Uniformly Distributed Load (UDL)

In engineering structures such as beams and frames, loads are the external forces that cause bending, shear, and deflection. These loads can act in various ways depending on how they are applied to the structure. The two most common types of loads are point loads and uniformly distributed loads (UDL).

Understanding the difference between these two is important for designing safe and efficient structures, as the type of load determines how internal forces like shear force and bending moment vary along the beam.

Point Load

point load, also known as a concentrated load, is a force that acts on a single, specific point on a beam or structure. In real life, all loads have some area of contact, but if that area is very small compared to the length of the beam, it can be treated as a point load.

For example, when a person stands at one spot on a bridge or when a wheel rests on a beam, the load can be considered as acting at a point. The direction of a point load is usually vertical, but it can also act horizontally or at an angle in special cases.

Key Characteristics of Point Load:

  1. Acts on a single point on the beam.
  2. Measured in units of force (N or kN).
  3. Causes a sudden change (jump) in the shear force diagram (SFD).
  4. Causes a linear variation in the bending moment diagram (BMD).
  5. Commonly represented in diagrams by an arrow acting on the beam.

Effect on a Beam:
When a point load acts on a simply supported beam, the load is transferred to the supports, creating reactions. The bending moment is maximum directly under the load.

Example:
A steel rod supported at both ends with a single weight of 500 N acting at its midpoint represents a beam under point load.

Mathematical Representation:

If a point load P acts at a distance a from the left end of a simply supported beam of total length L,

  • Reaction at left support,
  • Reaction at right support,

These reactions keep the beam in equilibrium under the applied load.

Uniformly Distributed Load (UDL)

uniformly distributed load (UDL) is a load that is spread evenly along the length of a beam. The intensity of the load (load per unit length) remains constant, meaning every part of the beam experiences the same amount of load per meter.

UDLs occur in many real-life structures such as floors, bridges, and roofs where the weight of materials or objects is evenly distributed. The UDL is represented in diagrams by small arrows placed closely together over the beam’s loaded length.

Key Characteristics of UDL:

  1. Load is spread evenly over the entire beam or a portion of it.
  2. Measured in load per unit length (N/m or kN/m).
  3. Shear force decreases linearly along the beam.
  4. Bending moment varies parabolically.
  5. The total load is equal to the product of load intensity and length of beam loaded portion.

Effect on a Beam:
When a UDL acts on a simply supported beam, it creates a linearly varying shear force and a parabolic bending moment curve. The maximum bending moment occurs at the midpoint for a full-length UDL.

Mathematical Representation:
If w is the intensity of UDL (in kN/m) and L is the span of the beam, then:

  • Total load on the beam =
  • Reaction at each support =
  • Maximum bending moment at mid-span =

This formula helps engineers design beams to resist bending safely.

Comparison between Point Load and UDL

Aspect Point Load Uniformly Distributed Load (UDL)
Nature of Load Acts at a single point Spread evenly along length
Unit N or kN N/m or kN/m
Shear Force Diagram Sudden jump at point of load Linearly varying
Bending Moment Diagram Linear variation Parabolic variation
Example Weight of a person on bridge Self-weight of floor or roof

(Note: Table is only for conceptual clarity, not for formatting.)

Graphical Representation

  1. For Point Load:
    • Represented by a single arrow pointing downward at a specific point on the beam.
    • Shear force changes abruptly at that point.
    • Bending moment linearly increases or decreases between loads.
  2. For UDL:
    • Represented by multiple arrows spread evenly over a beam portion.
    • Shear force changes linearly, forming a straight line.
    • Bending moment curve forms a smooth parabola.

These graphical interpretations are important in plotting SFD (Shear Force Diagram) and BMD (Bending Moment Diagram) during beam analysis.

Applications in Engineering

  1. Point Load Applications:
    • Concentrated machine loads on foundations.
    • Weight of vehicles on bridge decks.
    • Human loads on staircases or floors.
    • Forces from cranes or lifting hooks.
  2. UDL Applications:
    • Self-weight of beams and slabs.
    • Roof loads due to snow or rain.
    • Distributed loads on bridge floors.
    • Pressure loads in tanks or dams.

Both types of loads are essential for structural analysis and design in mechanical and civil engineering.

Conclusion

point load acts at a single position and is represented by a concentrated force, while a uniformly distributed load (UDL) acts evenly across a length of the beam. Point loads cause sudden changes in shear and linear bending variations, while UDLs produce gradual changes and parabolic bending moments. Both types of loads are crucial for understanding how beams and structures behave under different conditions. Correct identification and analysis of these loads ensure safety, efficiency, and stability in structural design.