Q1: 1. What is the formula for calculating the deflection of a simply supported beam with a point load at the center?

• A) Δ = 5PL^3 / (384EI)
• B) Δ = PL^3 / (48EI)
• C) Δ = PL^2 / (24EI)
• D) Δ = PL / (2EI)

Q2: 2. A beam with a distributed load will deflect more at which point?

• A) Midpoint
• B) Support
• C) Center of the span
• D) Any point along the beam

Q3: 3. The deflection of a cantilever beam with a point load at the free end is calculated by which formula?

• A) Δ = PL^3 / (3EI)
• B) Δ = 4PL^3 / (3EI)
• C) Δ = PL^3 / (2EI)
• D) Δ = 2PL^3 / (3EI)

Q4: 4. Which material property has a significant impact on the deflection of a beam?

• A) Density
• B) Young's modulus
• C) Thermal conductivity
• D) Poisson's ratio

Q5: 5. The deflection of a beam is mainly influenced by which of the following factors?

• A) Beam length
• B) Beam width
• C) Beam material
• D) Beam color

Q6: 6. For a simply supported beam with a uniformly distributed load, the maximum deflection occurs at which point?

• A) Midpoint
• B) Supports
• C) Quarter span
• D) Center of the span

Q7: 7. In real-life applications, excessive deflection in a beam can lead to

• A) Structural failure
• B) Increase in load-carrying capacity
• C) Improved stability
• D) Reduced material cost

Q8: 8. Which type of beam deflection is not commonly considered in engineering analysis?

• A) Elastic deflection
• B) Plastic deflection
• C) Creep deflection
• D) Vibration deflection

Q9: 9. The deflection of a beam due to a concentrated moment is calculated using which formula?

• A) Δ = ML^2 / (12EI)
• B) Δ = 2ML^2 / (3EI)
• C) Δ = 5ML^3 / (384EI)
• D) Δ = ML^3 / (6EI)

Q10: 10. Which beam material property affects deflection the most?

• A) Tensile strength
• B) Shear strength
• C) Modulus of elasticity
• D) Yield strength

Q11: 11. A beam with a triangular load distribution will have a deflection curve that is

• A) Linear
• B) Parabolic
• C) Exponential
• D) Sine wave

Q12: 12. The deflection of a beam is inversely proportional to

• A) Load
• B) Young's modulus
• C) Moment of inertia
• D) Beam length

Q13: 13. When analyzing beam deflection, what assumption is typically made about the material behavior?

• A) Elastic
• B) Plastic
• C) Viscoelastic
• D) Creep

Q14: 14. The deflection of a beam is directly proportional to

• A) Load
• B) Beam material
• C) Beam width
• D) Beam height

Q15: 15. Which type of support allows for the highest deflection in a beam?

• A) Simply supported
• B) Fixed
• C) Cantilever
• D) Roller

Q16: 16. The deflection of a beam due to a uniformly distributed load is calculated using which formula?

• A) Δ = 5wL^4 / (384EI)
• B) Δ = wL^4 / (8EI)
• C) Δ = wL^3 / (24EI)
• D) Δ = wL^2 / (12EI)

Q17: 17. In real-life scenarios, what can be a common cause of excessive beam deflection?

• A) Inadequate material strength
• B) Overly rigid supports
• C) Uniform loading
• D) Symmetrical beam design

Q18: 18. What effect does increasing the beam length have on deflection?

• A) Decreases deflection
• B) Increases deflection
• C) No effect on deflection
• D) Reverses deflection

Q19: 19. The deflection of a beam can be minimized by

• A) Increasing the load
• B) Decreasing the material stiffness
• C) Increasing the beam length
• D) Choosing appropriate beam cross-section

Q20: 20. Which type of load distribution typically results in the largest deflection in a beam?

• A) Point load
• B) Uniform load
• C) Triangular load
• D) Distributed load

Q21: 21. The deflection of a beam is directly proportional to the

• A) Load-carrying capacity
• B) Beam material density
• C) Fourth power of beam length
• D) Inverse of Young's modulus

Q22: 22. Which factor has the least influence on beam deflection?

• A) Material properties
• B) Beam length
• C) Load magnitude
• D) Beam color

Q23: 23. What happens to the deflection of a beam when the beam material's stiffness (Young's modulus) increases?

• A) Deflection decreases
• B) Deflection increases
• C) Deflection remains the same
• D) Deflection reverses

Q24: 24. The deflection of a beam under a concentrated load is highest at

• A) Midpoint
• B) Supports
• C) Load location
• D) Quarter span

Q25: 25. In real-life construction, why is it important to consider beam deflection in design?

• A) To ensure aesthetic appeal
• B) To prevent structural failure
• C) To reduce construction cost
• D) To increase material durability