For the 6m long horizontal cantilever beam PQR shown in the figure, Q is the midpoint. Segment PQ of the beam has flexural rigidity $EI = 2 \times 10^5$ kN. $m^2$ whereas the segment QR has infinite flexural rigidity. Segment QR is subjected to uniformly distributed, vertically downward load of 5 kN/m.
The magnitude of the vertical displacement (in mm) at point Q is _______ (rounded off to 3 decimal places).
The structural design method that DOES NOT take into account the safety factors on the design loads is
The horizontal beam PQRS shown in the figure has a fixed support at point P, an internal hinge at point Q, and a pin support at point R. A concentrated vertically downward load (V) of 10 kN can act at any point over the entire length of the beam.
The maximum magnitude of the moment reaction (in kN.m) that can act at the support P due to V is ________________ (in integer).
The longitudinal sections of a runway have gradients as shown in the table.
| End to end for sections of runway (m) | Gradient (%) |
|---|---|
| 0 to 200 | +1.0 |
| 200 to 600 | −1.0 |
| 600 to 1200 | +0.8 |
| 1200 to 1600 | +0.2 |
| 1600 to 2000 | −0.5 |
Consider the reduced level (RL) at the starting point of the runway as 100 m.
The effective gradient of the runway is