The slope of the elastic curve at the free end of a cantilever beam of span L, a

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Question
The slope of the elastic curve at the free end of a cantilever beam of span L, and with fluxural rigidity EI, subjected to uniformly distributed load of intensity w is
Options
A. wL³/6EI
B. wL³/3EI
C. wL⁴/8EI
D. wL³/2EI

Correct Answer

wL³/6EI

GATE Exam Questions problems

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1. Three reservoirs A, B and C are interconnected by pipes as shown in the below figure Water surface elevations in the reservoirs and the Piezometric Head at the junction J are indicated in the below figure.

Discharges Q₁, Q₂ and Q₃ are related as
Options
A. Q₁ + Q₂ = Q₃
B. Q₁ = Q₂ + Q₃
C. Q₂ = Q₁ + Q₃
D. Q₁ + Q₂ + Q₃ = 0

3. The following characteristics pertain to the sand filters used in water industry.
1. Filtration rate is 1 to 4 m³ (m² day).
2. Typical duration of operation in one run is 24 to 72 hours.
3. Operating cost is low.
Which of the above characteristics pertain to slow sand filters?
Options
A. I, II and III
B. I and II
C. II and III
D. I and III

4. Sewage treatment in an oxidation pond is accomplished primarily by :
Options
A. alga-bacterial symbiosis
B. algal photosynthesis only
C. bacterial oxidation only
D. chemical oxidation only

5. If a seller recovers his capital along with accumulated compensating interest not in one single lumpsum payment but in periodical equal payments, over time :
Options
A. Capital Recovery Annuity fs availed
B. Present work Annuity is availed
C. Sinking Fund Annuity is availed
D. Sinking Fund Annuity is availed

6. At highway stretches where the required overtaking sight distance cannot be provided, it is necessary to incorporate :
Options
A. at least twice the stopping sight distance
B. half the required overtaking sight distance
C. one-third the required overtaking sight distance
D. three times the stopping sight distance

7. The following two statements are made with reference to a simply supported under-reinforced RCC beam :
1. Failure takes place by crushing of concrete before the steel has yieled.
2. The neutral axis moves up as the load is increased.
With reference to the above statements, which of the following applies?
Options
A. Both the statements are false.
B. I is true but II is false.
C. Both the statements are true.
D. I is false but II is true.

8. If an element of a stressed body is in a state of pure shear with a magnitude of 80 N/mm² , the magnitude of maximum principal stress at that location is
Options
A. 80 N/mm²
B. 113.14 N/mm²
C. 120 N/mm²
D. 56.57 N/mm²

9. The members EJ and IJ of steel truss shown in the figure below are subjected to a temperature rise of 30� C. The coefficient of thermal expansion of steel is 0.000012 per �C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of the truss, is
Options
A. 0.255
B. 0.589
C. 0.764
D. 1.026

10. A single bay single storey portal frame has hinged left support and a fixed right support. It is loaded with uniformly distributed load on the beam. Which one of the following statements is true with regard to the deformation of the frame?
Options
A. It would sway to the left side
B. It would sway to the right side
C. It would not sway at all
D. None of the above

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