What is the effect of increasing the length of a beam on its deflection under a constant load?
Practice Questions
1 question
Q1
What is the effect of increasing the length of a beam on its deflection under a constant load?
Deflection increases
Deflection decreases
Deflection remains the same
Deflection doubles
Increasing the length of a beam under a constant 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 constant load?
Solution: Increasing the length of a beam under a constant 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 can support weight.
Step 2: Know what deflection means. Deflection is how much a beam bends or moves downwards when a load is applied.
Step 3: Recognize that a constant load means the same weight is applied to the beam, no matter its length.
Step 4: Learn that when you increase the length of the beam, it has more distance to bend under the same load.
Step 5: Understand the relationship between length and deflection. The deflection increases more than just the length; it increases with the cube of the length (L^3).
Step 6: Conclude that if you make the beam longer, it will bend more under the same weight.
