Problem 1 · Deflection of statically determinant beams, trusses, and frames
A W21×68 steel beam (I = 1,480 in⁴) spans 30 ft between simple supports and carries a 24 kip concentrated load at midspan. Use E = 29,000 ksi and neglect self-weight. The midspan deflection is most nearly:
- A.0.136 in.
- B.0.340 in.
- C.0.544 in.
- D.8.70 in.
Show the answer and solution
Answer: C: 0.544 in.
For a simply supported beam with a midspan point load, δ = PL³/(48EI) = 24(360)³/[48(29,000)(1,480)] = 0.544 in. The span must be in inches (30 ft = 360 in.) to match E in ksi and I in in⁴.
Deflection of statically determinant beams, trusses, and frames · Reference Handbook: Civil Engineering
