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beam analysis 5

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Exam of 30 pages for the course beam anaysis at beam anaysis (beam analysis 5)

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1. What is the unit of bending moment in SI units?

A. Newton

B. Newton-meter

C. Newton-second

D. Joule

Answer: b) Newton-meter

Rationale: The unit of bending moment is the Newton-meter (Nm), which is the

product of force (in Newtons) and the distance from the support (in meters).




2. What is the primary function of a beam in a structure?

A. To carry vertical loads

B. To resist bending moments

C. To resist shear forces

D. All of the above

Answer: d) All of the above

Rationale: Beams in structures are designed to resist vertical loads, shear forces, and

bending moments to ensure stability and strength.

,3. A beam is considered to be in elastic bending when:

A. It is subjected to high deflection

B. The material is in the plastic range of deformation

C. The material’s deformation is within the elastic range

D. It is subjected to shear stress only

Answer: c) The material’s deformation is within the elastic range

Rationale: Elastic bending occurs when the beam’s material deforms within the elastic

limit, meaning it will return to its original shape once the load is removed.




4. For a cantilever beam with a uniform load, the maximum deflection occurs at:

A. The support

B. At midspan

C. At the free end

D. At quarter span

Answer: c) At the free end

Rationale: For a cantilever beam with a uniform load, the maximum deflection occurs

at the free end, where the displacement due to bending is the greatest.

, 5. What is the formula for the maximum bending stress in a beam subjected to a

bending moment MMM?

A. σ=MI×x\sigma = \frac{M}{I} \times xσ=IM×x

B. σ=MI×y\sigma = \frac{M}{I} \times yσ=IM×y

C. σ=MI×L\sigma = \frac{M}{I} \times Lσ=IM×L

D. σ=My\sigma = \frac{M}{y}σ=yM

Answer: b) σ=MI×y\sigma = \frac{M}{I} \times yσ=IM×y

Rationale: The maximum bending stress in a beam is given by σ=MI×y\sigma =

\frac{M}{I} \times yσ=IM×y, where MMM is the bending moment, III is the moment

of inertia, and yyy is the distance from the neutral axis.




6. The bending moment at the midpoint of a simply supported beam with a uniform

load is:

A. Zero

B. Equal to the reaction force

C. Maximum

D. Equal to half the applied load

Answer: c) Maximum

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