2) Referring to Appendix " A 3" of your text and beam figure 7th
from the top and 2nd from the bottom, a Fixed-ended beam with
Concentrated load "P" at midspan.
a) P=Pu=97.33 kips and L-18 ft. Using Fy=50 ksi steel, design a
W18 section and specify its unbraced length Lp.
Hint: you may use the appropriate table from your text
Appendix.
b) Draw a figure of the beam and specify the placement of the
horizontal braces using an "X" on the compression flanges.
APPENDIX A.3 Shears, Moments, and Deflections Loading 14* R R4 R₁ T Lx R R₁ K 2 a 2 wl ➜ 2 2 a R₂ R +R Shear Force Diagram x Shear V▬▬▬▬ Shear V [1, Shear Shear Mmax Mmax Mmas ↓ Mmax Moment Diagram Moment Moment Moment. Moment Maximum Moment Pl 4 Pab 1 at x = a Pa wl2 8 Slope at End PI² 16EI Pa(l²-a²) 6EI at R₂ Pa(l-a) 2EI w/³ 24EI Maximum Deflection Pl³ 48 EI Pb(1²-b²)3/2 9√3 Ell at x = 11²-6² 3 Pa(31²-4a²) 24EI 5 wl 384 EI (Continued)
APPENDIX A.3 (Continued) Shears, Moments, and Deflections Loading W R₁4 R₂ R a b R V₂ Shear Force Diagram III 0.5774/ Shear Shear Shear Shear Mmax Y Mmax Moment Diagram 0.5774/ Moment Moment Moment Moment M Mm Maximum Moment w/² 9√3 w/² 12 -Pl -Pb Slope at End 8w1³ 360EI at R₂ 5wl³ 192EI PL² 2EI Pb² 2EI Maximum Deflection 2.5w/4 384 EI at x = 0.519/ wl 120EI P1³ 3EI Pb² (31-b) 6EI at free end (Continued)
APPENDIX A.3 (Continued) Shears, Moments, and Deflections Loading wl R tw R R wl R R + 1/20 Note: w, load per unit length; W, total load. Shear Shear Shear Force Diagram Shear Shear Moment Moment Mmax M₁ Moment Diagram A Max Moment 0.211/ + Moment Mmax Mmax Mmax ↑ Maximum Moment w/² 2 w/² 6 PL 8 w/² 12 Slope at End w/³ 6EI w/³ 24 EI 0 0 Maximum Deflection wla SEI wlª SEI P1³ 192EI wl 384EI
2) Referring to Appendix " A 3" of your text and beam figure 7th from the top and 2nd from the bottom, a Fixed-ended bea
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2) Referring to Appendix " A 3" of your text and beam figure 7th from the top and 2nd from the bottom, a Fixed-ended bea
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