Reference no: EM132171287
Task 1
a) A simply supported beam of span 9m carries two point loads 210kN and 125kN at a distance of 2m and 6m respectively from the left support. The self-weight of the beam is 26N/m.
Using the Macaulay's method determine stating all assumptions made.
i) the maximum slope and both ends of the beam,
ii) the maximum deflection at the centre of the beam.
Take EI = 500x103 kNm2
This provides evidence for [1.1]
b) Contextualisation: In conclusion to the calculations that you have used to solve maximum slope and deflection task in Part a), provide evidence on how you planned, managed and organized your approach to solving each of solution. Include in your evidence the steps that you used to ensure that you meet the submission deadline date, and if you encountered any issues/difficulties /setbacks how you overcame them.
Task 2
The fabrication department must manufacture steel pressure vessel for gases which are subjected to internal pressures. Using the following information, determine:
TANK AND SERVICE DETAILS. Internal diameter : 1000 mm Wall thickness : 4.0 mm
Length 1500mm
Internal pressure : 80kPa
a) The change in length
b) The change in diameter
c) The Hoop Stress
d) The Longitudinal Stress
Task 3
The fabrication department must manufacture thick-walled steel cylinders for liquids which are subjected to internal pressures. Using the following information, determine:
TANK AND SERVICE DETAILS.
Internal diameter : 200mm
External Diameter : 300mm
Internal Pressure : 70MPa
External Pressure : 40MPa
Maximum Hoop Stress : 30MM/m2
a) The Hoop and Radial Stress at the inner and outer surfaces of the cylinder
b) The Longitudinal Stress, if the cylinder is assumed to have closed ends.
Task 4
Contextualisation: In conclusion to Tasks 2 & 3 of this assignment, explain how you decided to solve each problem, which theories you chose to use and why you chose to use those theories.