1) Characterises the behaviour of a slender structural element subjected to an external load applied perpendicular to the longitudinal axis of that element.
2) Any three of the following:
- The beam is initially straight, unstressed and symmetric.
- The material of the beam is linearly elastic, homogeneous and isotropic.
- The proportional limit is not exceeded - only in the elastic region, no plastic deformation.
- Young's Modulus for the material is the same in tension and compression.
- All deflections are small, so that planar cross-sections remain planar before and after bending.
- Applied load in pure bending moment (no twisting).
3)
4a)
*extension*
(If you still don't get it watch this: https://www.google.co.uk/search?q=derive+2nd+moment+of+area+for+a+circle&ie=&oe=#kpvalbx=1)
5)
6)
7)
8)
9) Where bending is required - Guitar strings
- Aeroplane wing tips
Where bending is not desirable - Construction of buildings
- Construction of bridges
10)