Finding shear force and bending moment in a beam

In summary, the individual is seeking help with calculating the shear force and bending moment within a specific interval of a beam. They have attempted to use equations and have calculated the support reactions, but are unsure if their method is correct. They are looking for guidance on how to approach the problem.
  • #1
Studious_stud
39
0

Homework Statement



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I am attempting to calculate the shear force Vx, and bending moment Mx within the interval C - D of this beam.

Homework Equations



ƩFy = 0
ƩMx = 0

The Attempt at a Solution



I have calculated the support reactions to be RA = 5kN and RB = 55kN

ƩFy = 0

5 + 55 - 10(x-4) - 10 - Vx = 0

ƩMx = 0

5x + 55(x-4) - 10(x-2) - 10((x-4)^2/2) - Mx = 0

I'm really not sure if this is correct or not! Any help would be greatly appreciated :)

Thanks all
 
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  • #2
These are not correct, it is easier to draw free body diagrams which cut through CD about the RIGHT end of the beam. The shear will jump right out at you. And for the moment in between C-D, use D as the origin of your x value, right to left for x.
 

1. What is shear force and bending moment in a beam?

Shear force is the force that is applied perpendicular to the axis of a beam, causing the beam to bend or deform. Bending moment is the moment or force that causes a beam to bend or twist.

2. Why is it important to find the shear force and bending moment in a beam?

Understanding the shear force and bending moment in a beam is crucial in the design and analysis of structures such as bridges and buildings. It helps engineers determine the strength and stability of a structure and ensure that it can withstand the expected loads.

3. How do you calculate the shear force and bending moment in a beam?

The shear force and bending moment in a beam can be calculated using the equations V = dM/dx and M = -∫Vdx, where V is the shear force, M is the bending moment, and x is the distance along the beam. These equations can be solved using integration techniques.

4. What factors can affect the shear force and bending moment in a beam?

The shear force and bending moment in a beam can be affected by various factors such as the type of load applied, the shape and size of the beam, and the support conditions. Changes in any of these factors can result in different values for the shear force and bending moment.

5. Are there any software programs available to help find the shear force and bending moment in a beam?

Yes, there are many software programs available that can calculate the shear force and bending moment in a beam. Some popular options include AutoCAD, SolidWorks, and ANSYS. However, it is still important for engineers to understand the underlying principles and equations used in these programs.

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