# Calculate Bending Moment of Wooden Joist - 1.0 & 2.0 m

• barnacksam
In summary, a bending moment is a measure of the flexing of a structural element due to a force or load applied to it. It is important to calculate the bending moment of a wooden joist in order to determine its maximum load capacity and ensure structural safety. Factors such as the type and quality of wood, joist dimensions, span length, load magnitude and distribution, and support type can all affect the bending moment of a wooden joist. The bending moment can be calculated using the formula M = WL/8, but the calculation will differ for joists of different lengths due to the variation in span length and load characteristics.
barnacksam
3) A wooden joist of rectangular cross-section spans a gap of 5.0 m and supports a load of 30 kN placed 3.0 m from the right-hand end. The joist has a depth of 150 mm and the maximum tensile strength that it is allowed to withstand is 12 MPa.

a) Calculate the bending moment 1.0 m and 2.0 m from the right-hand end.

M/I = sigma/y = E/R

Have no clue, cheers

Recommend starting with a free-body diagram, then finding the reaction loads.

## 1. What is a bending moment?

A bending moment is a measure of the bending or flexing of a structural element, such as a wooden joist, due to a force or load applied to it.

## 2. Why is it important to calculate the bending moment of a wooden joist?

Calculating the bending moment of a wooden joist is important because it helps determine the maximum load that the joist can withstand without breaking or failing. This information is crucial for ensuring the structural integrity and safety of a building or structure.

## 3. What factors affect the bending moment of a wooden joist?

The bending moment of a wooden joist is affected by several factors, including the type and quality of wood, the dimensions and shape of the joist, the span length, and the magnitude and distribution of the load or weight applied to the joist. Additionally, the type of support or connection at each end of the joist can also impact its bending moment.

## 4. How do you calculate the bending moment of a wooden joist?

The bending moment of a wooden joist can be calculated using the equation M = WL/8, where M is the bending moment, W is the total weight or load acting on the joist, and L is the span length. This formula assumes a uniformly distributed load and a simple support condition at each end of the joist.

## 5. Is there a difference in calculating the bending moment for a 1.0 m joist versus a 2.0 m joist?

Yes, the bending moment will be different for a 1.0 m joist compared to a 2.0 m joist. This is because the span length (L) is a key factor in the calculation, and a longer span will result in a higher bending moment. Additionally, the type and distribution of the load can also vary between different joist lengths, which can impact the bending moment calculation.

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