How to Calculate the Maximum Bending Moment of a Simply Supported Beam with UDL?

The point-load distance to the left of "C" and "D" is the same as the original UDL distance to the left of "C" and "D".In summary, a simply supported beam with a uniformly distributed load of 40kN/m from C to D has a maximum bending moment value at the mid-length of the beam, which is 3.5m from the left hand end A. The value of the maximum bending moment can be calculated by converting the UDL into a point-load and constructing a shear diagram. The point-load distance to the left of "C" and "D" is equal to the original UDL distance to the left of "C" and "D".
  • #1
Dustybin
3
0
A simply supported beam is loaded with a uniformly distributed load (UDL) W=40 kN/m from C to D. The maximum Bending Moment value occurs at the mid-length of the beam, i.e. 3.5 m from the left hand end A. What is the value of the maximum bending moment? Give your answer in kNm, with 1 decimal place.
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  • #2
Welcome to PF!

Hi Dustybin! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3


Yep. Thanks. I have tried to calculate the it using +(p*d)-(ws)(GX). For this question, i used, (120*3.5)-(40*3)(1.5). Did i did anything wrong?
 
  • #4
Did you construct a shear diagram for your problem first?
 
  • #5
Turn the UDL into a point-load.
 

Related to How to Calculate the Maximum Bending Moment of a Simply Supported Beam with UDL?

1. What is "max bending moment" and why is it important?

Max bending moment is the maximum amount of bending stress that a material can withstand before breaking or failing. It is an important factor to consider in structural engineering and design, as it helps determine the strength and stability of a structure.

2. How do you calculate the max bending moment in a beam?

The max bending moment in a beam can be calculated using the formula M = Wl/4, where M is the max bending moment, W is the load applied to the beam, and l is the length of the beam. This formula assumes a uniform load distribution along the length of the beam.

3. What factors can affect the max bending moment in a structure?

The max bending moment in a structure can be affected by various factors such as the type of material used, the size and shape of the structure, the type and distribution of loads, and the support conditions of the structure.

4. How does the location of the applied load impact the max bending moment?

The location of the applied load can greatly impact the max bending moment in a structure. If the load is applied at the center of the beam, the max bending moment will be higher compared to if the load is applied at the ends of the beam.

5. How is the max bending moment used in structural design?

The max bending moment is used in structural design to determine the required size and strength of structural components, such as beams and columns. It is also used to ensure that a structure can safely support the expected loads without exceeding its maximum bending capacity.

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