6) The deflection of simply supported beam at mid-point with point load ‘W’ at its center is
(a) WL3/3EI
(b) WL3/12EI
(c) WL3/48EI
(d) WL3/384EI
When Point load is acting at center of simply supported beam, maximum deflection is at center \(y_c\) and slope at mid span is 0.
$$y_{c}=\frac{Pl^{3}}{48EI}$$
When Point load is acting at center of simply supported beam, maximum slope is at support and deflection at support is 0.
$$\theta_{B}=\theta_{A}=\frac{wL^{2}}{16EI}$$
When UDL (w kN/m) is acting on simply supported beam, maximum deflection is at center \(y_c\) and slope at mid span is 0.
$$y_{c}=\frac{5wl^{4}}{384EI}$$
When UDL (w kN/m) is acting on simply supported beam, maximum slope is at support and deflection at support is 0.
$$\theta_{B}=\theta_{A}=\frac{wL^{3}}{24EI}$$
7) The overlap for a weld connection in battens should not be less than
(a) 3t
(b) 4t
(c) 6t
(d) 8t
Option b
8) The soil which has been acted upon by stress greater than present stress is
(a) Under consolidated
(b) Over consolidated
(c) Normal consolidated
(d) Pre consolidated
Option b
Normally Consolidated Soils:
Normally Consolidated soils are those which are subjected for the first time in history to the present applied effective stress.
Over Consolidated Soils:
If the presently applied effective stress is less than the applied effective stress in the past, then the soil is called to be in an over consolidated stage. Overconsolidated soils show less volume change, and highly Overconsolidated clays behave like dense sand.
Under Consolidated Soils:
Under-consolidated clay is formed when rapid natural deposits under recent fillings are not fully consolidated under the current overburden pressure.
9) Which of the following drainage is not used in tunnel?
(a) Fore drainage
(b) Tunnel drainage
(c) Permanent drainage
(d) Side drainage
Option a
Permanent drain, side drain and tunnel drain is constructed in tunnel whereas foredrain is constructed only during initial tunnelling
10) When the canal bed is taken over drainage?
(a) Siphon
(b) Aqueduct
(c) Super passage
(d) Cross
Option b
An aqueduct is a structure that carries water over a canal, river, or other watercourse, allowing the canal bed to continue uninterrupted beneath. In other words, it provides a passage for water over the canal bed or other drainage without obstructing it.
Let’s briefly define the other terms for clarity:
- Siphon: A siphon is a pipe or tube that allows liquid to flow from a higher level to a lower level, typically over an obstacle, without the need for a pump.
- Super passage: This term isn’t commonly used in civil engineering contexts. It might refer to a structure that allows passage over something, but it’s not specific to canal beds or drainage.
- Cross: This could refer to a culvert or bridge structure that allows passage across a drainage channel, but it doesn’t specifically relate to a canal bed being taken over drainage.