Question: User: Types of Loading:
1) Point Load - A single load is acting on a point.
Case 1:
Free Body Diagram
$W = mg$
$N$
$mg$
$mg$
$R_A$
$R_B$
Case 2:
Free Body Diagram
$mg$
$mg$
$mg$
$R_A$
$R_B$
2) Uniformly Distributed Load (UDL) 6 The loadings are even distributed across the certain
length.
Case 1:
Free Body Diagram
$800$ N/m
$5$ m
$20$ m
Equivalent Load
$800 \times 5 = 4000$ N
$2.5$ m
$22.5$ m
1. **Problem Statement:**
Understand the types of loading on beams: Point Load and Uniformly Distributed Load (UDL).
2. **Point Load:**
- A point load is a single concentrated force acting at a specific point on a structure.
- The weight $W$ is given by the formula $$W = mg$$ where $m$ is mass and $g$ is acceleration due to gravity.
- In the free body diagram, the normal force $N$ acts upward balancing the downward weight $mg$.
- Support reactions $R_A$ and $R_B$ act upward at the beam ends to maintain equilibrium.
3. **Uniformly Distributed Load (UDL):**
- A UDL is a load spread evenly over a length of the beam.
- The total equivalent load $W_{eq}$ is calculated by multiplying the load intensity by the length:
$$W_{eq} = w \times L$$
where $w = 800$ N/m and $L = 5$ m.
4. **Calculation of Equivalent Load:**
$$W_{eq} = 800 \times 5 = 4000 \text{ N}$$
5. **Location of Equivalent Load:**
- The equivalent point load acts at the centroid of the distributed load, which is at the midpoint of the loaded length.
- Distance from the left support:
$$\frac{5}{2} = 2.5 \text{ m}$$
6. **Summary:**
- Point loads act at specific points.
- UDLs can be replaced by a single equivalent point load equal to the total load acting at the centroid.
This explanation covers the types of loading and how to convert a UDL into an equivalent point load for analysis.