In a simply supported beam, what is the relationship between the bending moment and shear force?
Practice Questions
1 question
Q1
In a simply supported beam, what is the relationship between the bending moment and shear force?
M = V*L
M = ∫V dx
M = V*dx
M = V/L
The relationship is given by M = ∫V dx, where M is the bending moment and V is the shear force.
Questions & Step-by-step Solutions
1 item
Q
Q: In a simply supported beam, what is the relationship between the bending moment and shear force?
Solution: The relationship is given by M = ∫V dx, where M is the bending moment and V is the shear force.
Steps: 5
Step 1: Understand that a simply supported beam is a structure that can support loads and has supports at both ends.
Step 2: Recognize that the shear force (V) is the internal force that acts along the beam to resist vertical loads.
Step 3: Know that the bending moment (M) is the internal moment that causes the beam to bend due to the applied loads.
Step 4: The relationship between bending moment and shear force is expressed mathematically as M = ∫V dx.
Step 5: This equation means that to find the bending moment at a certain point along the beam, you need to integrate (sum up) the shear force over the length of the beam.
