A steel beam ABC is simply supported at A and B and has an overhang BC of length L = 150 mm (see figure). The beam supports a uniform load of intensity q = 4.0 kN/m over its entire span AB and 1.5q over BC. The cross section of the beam is rectangular with width b and height 2b. The allowable bending stress in the steel is σallow = 60 MPa, and its weight density is γ = 77.0 kN/m3.
(a) Disregarding the weight of the beam, calculate the required width b of the rectangular cross section.
(b) Taking into account the weight of the beam, calculate the required width b.

Transcribed Image Text:

1.5 q 2b 一2L