What is the effect of increasing the length of a beam on its deflection under a given load?
Practice Questions
1 question
Q1
What is the effect of increasing the length of a beam on its deflection under a given load?
Increases deflection
Decreases deflection
No effect
Depends on material
Increasing the length of a beam under a given load will increase its deflection, as deflection is proportional to the cube of the length (L^3).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the length of a beam on its deflection under a given load?
Solution: Increasing the length of a beam under a given load will increase its deflection, as deflection is proportional to the cube of the length (L^3).
Steps: 6
Step 1: Understand what a beam is. A beam is a long, horizontal structure that supports weight.
Step 2: Know what deflection means. Deflection is how much the beam bends or moves downwards when a load (weight) is applied.
Step 3: Recognize that when you increase the length of the beam, it becomes longer and can bend more easily.
Step 4: Learn that the deflection of a beam is related to its length. Specifically, if you make the beam longer, the deflection increases.
Step 5: Remember the relationship: deflection increases with the cube of the length. This means if you double the length, the deflection increases by eight times (2^3 = 8).
Step 6: Conclude that a longer beam will bend more under the same load compared to a shorter beam.
