A simply supported beam is subjected to a uniformly distributed load. Which of the following statements are true?

i. Maximum or minimum shear force occurs where the radius of curvature is zero.

ii. Maximum or minimum bending moment occurs where the shear force is zero

iii. Maximum or minimum bending moment occurs where the radius of curvature is zero

iv. Maximum bending moment and maximum shear force occur at the same section

According to IS 456–2000, which one of the following statements about the depth of neutral axis x_u,bal for a balanced reinforced concrete section is correct?

The figure shown a two-hinged parabolic arch of span L subjected to uniformly distributed load of intensity q per unit length

The maximum bending moment in the arch is equal to

Group I list the type of gain or loss of strength in soils, Group II lists the property or process responsible for the loss or gain of strength in soils

Group I

P. Regain of strength with time

Q. Loss of strength due to cyclic loading

R. Loss of strength due to upward seepage

S. Loss of strength due to remoulding

Group II

1. Boiling

2. Liquefaction

3. Thixotropy

4. Sensitivity

The wastewater from a city, containing a high concentration of biodegradable organics, is being steadily discharged into a flowing river at a location S. If the rate of aeration of the river water is lower than the rate of degradation of the organics, then the dissolved oxygen of the river water

The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ±(a mm + b ppm). Which one of the following statements is correct?

Consider the following partial differential equation

$3\frac{{\partial }^2\varphi }{\partial x^2}+B\frac{{\partial }^2\varphi }{\partial x\partial y}+3\frac{{\partial }^2\varphi }{\partial y^2}+4\varphi =0$

A 3 m thick clay layer is subjected to an initial uniform pore pressure of 145 kPa as shown in the figure.

For the given ground conditions the time (in days, rounded to the nearest integer) required for 90% consolidation would be ________

A triangular pipe network is shown in the figure.

The head loss in each pipe is given by h_f = rQ^1.8, with the variables expressed in a consistent set of units. The value of r for the pipe AB is 1 and for the pipe BC is 2. If the discharge supplied at the point A (i.e., 100) is equally divided between the pipes AB and AC, the value of r (up to two decimal places) for the pipe AC should be ________

The ordinates of a 2-hour unit hydrograph for a catchment are given as

Time (h)                               0              1              2              3              4

Ordinate (m³/s)                    0              5              12           25           41

A planar truss tower structure is shown in the figure.

Consider the following statements about the external and internal determinacies of the truss.

P. Externally determinate

Q. External static indeterminacy = 1

R. External Static Indeterminacy = 2

S. Internally Determinate

T. Internal Static Indeterminacy = 1

U. Internal Static Indeterminacy = 2

Which one of the following options is correct?

Group I contains three broad classes of irrigation supply canal outlets. Group II presents hydraulic performance attributes.

The correct match of the items in Group I with the items in Group II is 

The following observations are made while testing aggregate for its suitability in pavement

construction:

(i) Mass of oven-dry aggregate in air = 1000g

(ii) Mass of saturated surface-dry aggregate in air = 1025g

(iii) Mass of saturated surface-dry aggregate under water = 625 g

The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).

At time = t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?

The observed bearings of a traverse are given below.

The station(s) most likely to be affected by the local attraction is/are 

Consider the stepped bar made with a linear elastic material and subjected to an axial load of 1 kN as shown in the figure.

Segments 1 and 2 have cross sectional area of 100 mm² and 60 mm², Young’s modulus of 2 × 10⁵ MPa and 3 × 10⁵ MPa and length of 400 mm and 900 mm respectively. The strain energy in N-mm up to one decimal place in the bar due to the axial load is_______

The value of M in the beam ABC shown in the figure is such that the joint B does not rotate

The value of support reaction (in kN) at B should be equal to ________

Consider the beam ABCD shown in the figure.

AB = BC = 4 m

CD = 10 m

For a moving concentrated load of 50 kN on the beam, the magnitude of the maximum

bending moment (in kN-m) obtained at the support C will be equal to ________

A column is subjected to a load through a bracket as shown in the figure.

The resultant force (in kN, up to one decimal place) in the bolt 1 is ________

A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t) = 3t² (in N) is applied to it in the direction of motion for a duration of 2 seconds. Where t denotes time in seconds.

The velocity (in m/s up to one decimal place) of the particle immediately after the removal of the force is ________.

The activity details of a project are given below:

The estimated minimum time (in days) for the completion of the project will be_______ 

The infinite sand slope shown in the figure is one the verge of sliding failure. The ground water table coincides with the ground surface. Unit weight of water γ_w = 9.81 kN/m³.

The value of the effective angle of internal friction (in degrees upto one decimal place) of the sand is ________

A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.

It is observed that the depth of flow is 1.0 m upstream of the gate, while the depth is 0.2 m downstream of the gate. Assuming a smooth flow transition across the sluice gate, i.e., without any energy loss, and the acceleration due to gravity as 10 m/s², the discharge (in m³/s, up to two decimal places) passing under the sluice gate is ________

Water flows through a 90° bend in a horizontal plane as depicted in the figure.

A pressure of 140 KPa is measured at section 1-1. The inlet diameter marked at section 1-1 is $\frac{27}{\sqrt{\pi }}cm$. While the nozzle diameter marked as section 2-2 is $\frac{14}{\sqrt{\pi }}cm$. Assume the following

(i) Acceleration due to gravity = 10 m/s²

(ii) Weights of both the bent pipe segment as well as water are negligible

The spherical grit particles having a radius of 0.01 mm and specific gravity of 3.0 need to be separated in settling chamber it is given that

• g = 9.81 m/s²
• The density of the liquid in the settling chamber = 1000 kg/m³
• The kinematic viscosity of the liquid in the setting chamber = 10^-6 m²/s

Two wastewater streams A and B having an identical ultimate BOD are getting mixed to form the stream C. The temperature of the stream A is 20° C and the temperature of the stream C is 10°C. It is given that

• The 5-day BOD of the stream A measured at 20°C = 50 mg/l
• BOD rate constant (base10) at 20° C = 0.115 per day
• Temperature coefficient = 1.135