GATE CE 2022 Toppers Quiz 23

Determine the value of unknown rotation, θ_A in radian form the following systemof forces and displacements.

Find the vertical deflection at C of a rigid cantilever beam as shown below. Assume EI as constant.

A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal direction. The flexural rigidity. EI, of each member is 10⁶ kNm². Under the applied load, the horizontal displacement (in mm, round off to 1 decimal place) of joint R would be __________

A horizontal beam ABC is loaded as shown in the figure below. The distance of the point of contraflexure from end A (in m) is _________.

Find the horizontal thrust for the frame at A.

40 gm of CO₂ and 50 gm of CH₄ are produced from the composition of municipal waste with formula weight of 200 gm. What is the average per capita greenhouse gas production( in gm) in city of 12,00,000 population with 500gm/capita/day municipal waste generation.

A town of population 50,000 generates municipal solid waste of 500 gm/person/day. How many trucks would be needed to collect the waste twice the week? The trucks have the capacity of 4.5 tonnes and operates 5 day a week and truck can toe avg toe load of 75 % of its capacity.

A sewer of diameter 300 mm flowing at d/D = 0.3 on a grade ensuring a degree of self-cleansing equivalent to that obtained in a sewer of running full at a velocity at a rate of 0.9 m/sec. Find the required grade-----*10^-3 assuming n=0.013