A 2.5-cm-diameter horizontal water jet with a speed of = 40 m/s relative to the ground is deflected by a 600 stationary cone whose base diameter is 25 cm. Water velocity along the cone varies linearly from zero at the cone surface to the incoming jet speed of 40 m/s at the free surface. 'Problems designated by a C are concept questions, and students are encouraged to answer them all Problems designated by an E are in English units, and SI users can ignore them. Problems with the icon are comprehensive in nature and are intended to be solved with appropriate software. 284 Disregarding the effect of gravity and the shear forces, determine the horizontal force F needed to hold the cone stationary.
A 2.5-cm-diameter horizontal water jet with a speed of = 40 m/s relative to the ground is deflected by a 600 stationary cone whose base diameter is 25 cm. Water velocity along the cone varies linearly from zero at the cone surface to the incoming jet speed of 40 m/s at the free surface. 'Problems designated by a C are concept questions, and students are encouraged to answer them all Problems designated by an E are in English units, and SI users can ignore them. Problems with the icon are comprehensive in nature and are intended to be solved with appropriate software. 284 Disregarding the effect of gravity and the shear forces, determine the horizontal force F needed to hold the cone stationary.
Solution Summary: The author calculates the horizontal force F needed to hold the cone stationary, and the momentum equation for x-direction.
A 2.5-cm-diameter horizontal water jet with a speed of = 40 m/s relative to the ground is deflected by a 600 stationary cone whose base diameter is 25 cm. Water velocity along the cone varies linearly from zero at the cone surface to the incoming jet speed of 40 m/s at the free surface. 'Problems designated by a C are concept questions, and students are encouraged to answer them all Problems designated by an E are in English units, and SI users can ignore them. Problems with the icon are comprehensive in nature and are intended to be solved with appropriate software. 284 Disregarding the effect of gravity and the shear forces, determine the horizontal force F needed to hold the cone stationary.
Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1
(b)
A steel 'hot rolled structural hollow section' column of length 5.75 m, has
the cross-section shown in Figure Q.5(b) and supports a load of 750 kN.
During service, it is subjected to axial compression loading where one end
of the column is effectively restrained in position and direction (fixed) and
the other is effectively held in position but not in direction (pinned).
i)
Given that the steel has a design strength of 275 MN/m², determine
the load factor for the structural member based upon the BS5950
design approach using Datasheet Q.5(b).
[11]
ii)
Determine the axial load that can be supported by the column
using the Rankine-Gordon formula, given that the yield strength of
the material is 280 MN/m² and the constant *a* is 1/30000.
[6]
300
600
2-300 mm
wide x 5 mm
thick plates.
Figure Q.5(b)
L=5.75m
Pinned
Fixed
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