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L01 Be able to determine the behavioural characteristics of elements of static engineering systems
Task 1 : (LO 1: P1.1)
Determine distribution of shear force, bending moment and stress due to bending in simply supported beams.
Task1.
A simply supported beam of length 6m supports a vertical point load of 45kN a distance of 4m from one end. If maximum allowable bending stress is 120Mpa:
1. Determine the reaction forces at either end.
4m
45k
6m
Fig 1
2. Draw the shear force diagram
3. Make appropriate calculations and draw the bending moment diagram
4.Recalculate the reaction forces at either end, taking into account the actual weight of the beam as a UDL. Assume that the mass of the beam is 39Kg/m and g= 9.81 m/s2
5.Determine the actual maximum bending stress in the selected beam, taking into account the actual weight of the beam as a UDL and check whether your section is still appropriate by comparing this stress with the maximum allowable bending stress. Assume that the beam is a uniform rectangular section of width w, = 100 mm and depth, d = 80mm
6.A cantilever has a length of 2m and a concentrated load of 8 kN is applied to its free end. Determine the shear force and bending moments at distances of (a) 0.5 m, (b) 1.0 m from the fixed end . Neglect the weight of the beam.
P1.1
HNEE 102 Engineering Science
Tasks 2.0 : (LO1: P1.2)
Select Standard rolled steel sections for beams and columns to satisfy given specifications.
1. Refer to task 1(a).
List suitable universal beam sections that will support the 45kN load from table A and then select the lightest.
2.
Select the lightest wide flange section that can be used as a steel column 7m
