Built-in Beams 153 6.5(A/B).A horizontal beam of I-section,rigidly built-in at the ends and 7m long.carries a total uniformly distributed load of 90 kN as well as a concentrated central load of 30kN.If the bending stress is limited to 90 MN/m2 and the deflection must not exceed 2.5 mm,find the depth of section required.Prove the deflection formulae if used, or work from first principles.E 210 GN/m2. U.L.C.L][583mm.] 6.6 (A/B).A beam of uniform section is built-in at each end so as to have a clear span of 7 m.It carries a uniformly distributed load of 20kN/m on the left-hand half of the beam,together with a 120kN load at 5m from the left-hand end.Find the reactions and the fixing moments at the ends and draw a B.M.diagram for the beam,inserting the principal values. U.L][-1054,-148kN:80.7,109.3kNm.] 6.7 (A/B).A steel beam of 10m span is built-in at both ends and carries two point loads,each of 90kN, at points 2.6m from the ends of the beam.The middle 4.8m has a section for which the second moment of area is 300 x 106 m and the 2.6 m lengths at either end have a section for which the second moment of area is 400 x 10-6m.Find the fixing moments at the ends and calculate the deflection at mid-span.Take E 210 GN/m2 and neglect the weight of the beam. [U.L.][MA=Ma 173.2kN m:;8.1 mm.] 6.8 (B.)A loaded horizontal beam has its ends securely built-in;the clear span is 8 m and I =90 x 10-6 m.As a result of subsidence one end moves vertically through 12 mm.Determine the changes in the fixing moments and reactions.For the beam material E 210GN/m2. [21.26kNm;5.32kN]Built-in Beams 153 6.5 (A/B). A horizontal beam of I-section, rigidly built-in at the ends and 7 ~1 long, cames a total uniformly distributed load of 90 kN as well as a concentrated central load of 30 kN. If the bending stress is limited to 90 MN/m2 and the deflection must not exceed 2.5 mm, find the depth of section required. Prove the deflection formulae if used, or work from first principles. E = 210GN/m2. [U.L.C.I.] [583 mm.] 6.6 (A/B). A beam of uniform section is built-in at each end so as to have a clear span of 7 m. It came a uniformly distributed load of 20 kN/m on the left-hand half of the beam, together with a 120 kN load at 5 m from the left-hand end. Find the reactions and the fixing moments at the ends and draw a B.M. diagram for the beam, inserting the principal values. [U.L.][-lO5.4, -148kN; 80.7, 109.3kNm.l 6.7 (A/B). A steel beam of 10m span is built-in at both ends and cames two point loads, each of 90kN, at points 2.6m from the ends of the beam. The middle 4.8m has a section for which the second moment of area is 300 x m4 and the 2.6 m lengths at either end have a section for which the second moment of area is 400 x m4. Find the fixing moments at the ends and calculate the deflection at mid-span. Take E = 210 GN/mz and neglect the weight of the beam. [U.L.] [Ma = MB = 173.2 kN m; 8.1 mm.] m4. As a result of subsidence one end moves vertically through 12mm. Determine the changes in the fixing moments and reactions. For the beam material E = 210GN/m2. C21.26 kNm; 5.32 kN.] 6.8 (B.) A loaded horizontal beam has its ends securely built-in; the clear span is 8 m and I = 90 x