Situation

Refer to the cantilever beam shown. Assume EI = 10,000 kN-m².

1. Determine the vertical deflection at B.

A. 112.5 mm

B. 95.4 mm

C. 103.7 mm

D. 136.9 mm

2. Determine the vertical deflection at C.

A. 39.7 mm

B. 45.7 mm

C. 56.9 mm

D. 87.4 mm

3. Determine the slope of the beam at C.

A. 0.05429

B. 0.01875

C. 0.03658

D. 0.02025

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Problem (Nov. 2018)

A tubular post is hit by a car at point B as shown...

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Problem (Nov. 2018)

A vertical load of ____ is applied at mid-length of a ...

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Problem

Refer to the beam shown. E = 200 GPa, I = 150 x 10⁶ mm⁴. The spring deforms 1 mm in every 500 N load. Determine the vertical reaction at B.

A. 62.34 kN

B. 66.84 kN

C. 85.42 kN

D. 74.98 kN

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Problem

Refer to the beam shown. E = 200 GPa, I = 180 x 10⁶ mm⁴. The spring deforms 1 mm in every 500 N load. Determine the vertical reaction at B.

A. 289.3 kN

B. 187.5 kN

C. 256.8 kN

D. 218.7kN

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Situation

Refer to the beam shown. Assume E = 200 GPa and I = 120 x 10⁶ mm⁴. Determine the following:

1. The vertical reaction at B.

A. 69 kN

B. 52 kN

C. 74 kN

D. 87 kN

2. The bending moment at A.

A. -321 kN-m

B. -425 kN-m

C. -287 kN-m

D. -372 kN-m

3. The vertical deflection at C.

A. 63.58 mm

B. 82.37 mm

C. 96.32 mm

D. 101.25 mm

4. The maximum deflection of the beam.

A. 82.5 mm

B. 96.3 mm

C. 87.9 mm

D. 110.7 mm

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Problem (Nov. 2018)

A simply supported beam has a span of 12 m. The beam carries a uniformly distributed load of ...

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Situation

Refer to the beam shown. Assume EI = constant.
Determine the following:

1. The slope at A.

A. 569.87/EI

B. 324.12/EI

C. 456.32/EI

D. 384.92/EI

2. The deflection at B.

A. 720.5/EI

B. 652.4/EI

C. 765.8/EI

D. 810.9/EI

3. The rotation at B.

A. 35.89/EI

B. 29.08/EI

C. 26.58/EI

D. 45.08/EI

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Problem

Determine the deflection at B and E in mm using the double integration method. E = 200 GPa, I = 280 x 10⁶ mm⁴.

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Problem

Determine the deflection at B and E in mm using the three-moment equation. E = 200 GPa, I = 280 x 10⁶ mm⁴.

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Problem (Nov. 2018) - Pattern Loading

Given the following data of the three-span beam...

(Pattern loading)

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