Beams
A beam is a structural member that carries loads primarily in bending. Beams are subjected to transverse loads that produce shear forces and bending moments. The analysis of beams involves determining shear force diagrams (SFD) and bending moment diagrams (BMD). The flexure formula relates bending stress to moment and section properties.
Knowledge Check
1.What is the relationship between bending stress and distance from the neutral axis?
2.A simply supported beam with a point load at midspan has maximum bending moment at:
3.The shear force diagram for a simply supported beam with a point load at midspan shows:
4.In the flexure formula σ = M y / I, what does 'y' represent?
5.A beam has a rectangular cross-section of width b and height h. The second moment of area (I) about the neutral axis is:
6.A cantilever beam with a point load at the free end has maximum bending moment at:
7.The slope of the bending moment diagram equals:
8.What is the bending stress at the neutral axis of a beam?
9.A 5 m long simply supported beam has a 20 kN/m UDL over its entire length. What is the maximum bending moment?
10.The maximum shear force in a simply supported beam with UDL occurs at: