Shear Force and Bending Moment Diagram for cantilever beam are as follows.
Table of Contents
Case 01. Shear Force And Bending Moment Diagram Of Cantilever Beam When Point Load Is Applied
From the figure, we have the value of the load at point A and point B. So let’s draw the shear force diagram with the help of these loading.
The bending moment at point A is zero.
Bending moment at point B= -2*2 = 4 KN-M
Bending moment at point C= -2*4-4*2 = 12 KN-M
Note :( The clockwise bending moment will be positive and Anti-Clockwise will be negative)
Now we can draw the bending moment diagram
Case 02. SFD And BMD Of Cantilever Beam When UDL And Point Load Is Applied
From the figure
Shear Force at point A = -2 KN
Shear Force at point B = -2-2*2= – 6 KN
Shear Force at from point B to C = -2-2*2= -2 KN
Now let’s draw the Shear Force Diagram
Bending Moment at point A = 0
Bending Moment at point B = -[ 2*2+2*2*1/2] = -6 KN-M
Bending Moment at point C = -[2*4+2*2*3+2*2] = -24 KN-M
Now let’s draw the Bending Moment Diagram
In this article, you learned about Shear Force and Bending Moment Diagram for Cantilever Beam. If you have any doubt about Shear Force and Bending Moment Diagram for Cantilever Beam, please comment below.
FAQS
What is the difference between SFD and BMD in a cantilever beam?
SFD (Shear Force Diagram) represents the variations in the horizontal forces acting on the beam, while BMD (Bending Moment Diagram) represents the variations in the bending moment along the length of the beam.
How do we determine the SFD and BMD of a cantilever beam?
We can determine the SFD and BMD of a cantilever beam by analyzing the loads, reactions and using equations of equilibrium at different points along the beam.
What is the relationship between SFD and BMD in a cantilever beam?
The relationship between SFD and BMD in a cantilever beam is that the change in the shear force is equal to the slope of the BMD.
How do we calculate the maximum bending moment and shear force in a cantilever beam?
To calculate the maximum bending moment and shear force in a cantilever beam, we need to analyze the loads, reactions, and use equations of equilibrium at different points along the beam.
What are the factors that affect the SFD and BMD of a cantilever beam?
The factors that affect the SFD and BMD of a cantilever beam are the type and magnitude of loads, and the distance from the support point.
How do we determine the deflection of a cantilever beam?
We can determine the deflection of a cantilever beam by analyzing the SFD, BMD and using equations of deflection.
How do we design a cantilever beam to withstand the maximum load?
To design a cantilever beam to withstand the maximum load, we need to analyze the loads, reactions, and use appropriate materials and dimensions for the beam.
What are the common uses of cantilever beams?
Common uses of cantilever beams include bridges, balconies, loading docks, and crane booms.
What are the advantages and disadvantages of using a cantilever beam?
The advantages of using a cantilever beam include the ability to create a clear span, and the ability to create a large overhang. The disadvantages include the difficulty in providing support for the free end and the potential for large deflections.
How do we ensure the safety of a cantilever beam during construction?
To ensure the safety of a cantilever beam during construction, we need to properly analyze the loads, reactions, and use appropriate materials and dimensions for the beam. Additionally, proper safety measures and equipment should be used during the construction process.
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