What is the effect of increasing the moment of inertia (I) of a beam on its deflection?
Practice Questions
1 question
Q1
What is the effect of increasing the moment of inertia (I) of a beam on its deflection?
Increases deflection
Decreases deflection
No effect
Doubles deflection
Increasing the moment of inertia (I) of a beam decreases its deflection under a given load, as deflection is inversely proportional to I.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the moment of inertia (I) of a beam on its deflection?
Solution: Increasing the moment of inertia (I) of a beam decreases its deflection under a given load, as deflection is inversely proportional to I.
Steps: 6
Step 1: Understand what a beam is. A beam is a long, sturdy piece of material that can support loads.
Step 2: Learn about deflection. Deflection is how much a beam bends or moves when a load is applied to it.
Step 3: Know what moment of inertia (I) means. Moment of inertia is a measure of how much a beam resists bending. It depends on the shape and size of the beam.
Step 4: Recognize the relationship between moment of inertia and deflection. When the moment of inertia (I) increases, the beam becomes stiffer.
Step 5: Understand the effect of increasing I. If I increases, the deflection of the beam decreases under the same load. This means the beam will bend less.
Step 6: Remember the key idea: Deflection is inversely proportional to the moment of inertia (I). This means that as I goes up, deflection goes down.
