Q1. Illustrate the general beam bending equation and state what each symbol in the equation symbolizes and as well the empirical units of measurement for each term.
Q2. Illustrate the physical significance of I and E in the general bending equation?
Q3. Illustrate the standard formulae for computing I for a circular and rectangular cross sectional area.
Q4. Sketch a diagram pointing out how stress varies via a rectangular beam that is subjected to the bending.
Q5. Compute the second moment of area for:
a) A solid rectangular part 170 mm x 250 mm.
b) A solid circular part with radius of 100 mm.
c) A hollow rectangular part 90 mm x 150 mm with wall thickness of 10mm.
d) A hollow circular part of radius 50 mm and a wall thickness of 5mm.
e) A rectangular section 85 mm x 100 mm with a circular cut out with diameter 40mm.
Q6. A water channel employed to irrigate fields has to cross a small ravine. The channel is supported on three round logs, 150 mm in diameter, spanning a 5 m gap. The logs can be considered to be only supported and the trough, whenever full, can be considered as a distributed load of 0.8KN/m. Compute the maximum bending stress in one log and show where it takes place.
Q7. Cantilever style balcony is supported by two I beams, 2 m in length. The weight of balcony is uniformly supported by two beams and can be supposed to produce an evenly distributed load on each beam of 3 KN/m.
a) Compute the total weight of the balcony.
b) The nominal size of each beam is 114 mm x 114 mm with a thickness of 10 mm. Compute the maximum bending moment for one beam and state where it takes place.