Question

1. For each of the beams shown, find reactions, draw the complete shear force and bending mo ment diagrams, determine the centroid, the moment of inertia and the maximum tensile and compressive stresses. Label all values on you dingrams and include UNITS. 2 kN/m 2 KN 15 KN-m belige B с D 2 m 1 m 1 m 2 m 2 m 0.5 m 0.06 m 0.3 m 0.6 - 0.05 m 0.05 m 0.05 m

Answer 1

parola MF 2 KN Benim Iskum Hinge hum . с. B D 2m m. Im 2m im RA RA > ) lake moment to the left of Hinge, and equate it to Zero. PA (1) 2(2)(3) + 2.1) PA, 14 PA z 3.5 IN 기 기 212) +2 of also RA + Pf= 기) RF, 2.5 kn CS Scanned with CamScanner

VED с. o E Where Sf zo. 1510 227 1.750 0.5660 2.5kN Position of maym BM in in bostran -- A gosto o AB; x kol.75m >) - 4(x) >> 3. CS Scanned with CamScanner

barrabolu lokom Ikon Bloocan 1-Slam) MF-102 1 (1o) (2) 3.0625 kNm 3 kvm Internal Mc-2 -| (0.5)(0.25) 2 2) Mc> 2.9375 IN ME DE MD 2 els Mf. 2o kim aree → SFD blw (& B. Mc- MB = of - n Parytos pelos ए Helles) (- 2:5) @) n ME = - 5 kNm s CS Scanned with CamScanner

ISKNM 7 songs t (M) 个 3.5kn 3.5 kn > MF + 15 +3.514) = 0 2 Ma = of kn n MP-3.514) + 15 zo ME -1 kNm 0.5m K 个 02.0ism 0.05m. N ТА Dism 0.6m oook 10.osm CS Scanned with CamScanner

Let ceabord lies at 5 from top of Beam. ñ ü {(03) 100g 5) (0:05) 0:05) +2 (0.3)[0.05)(0-2) 2 + 0.6(0.05) (0-35) (0.590.05 + 0.370.05X2 +0.6X0-05 6410-3 +0.0105 o , 6.26X10-4 + Area 71 I 0. 2015m from top. Moment of inessia (INA) INA > 10.5) (0-2015)3 - 0.35 (0.185)3 3 3 3 + 2 (0.05) (0.1488) + (0-05)(0-4485) 3 -4 - INA 2 1.363x103 4.06410 + 1.092x10-4 + 1-5810-3 » INA 2.57X10-3 my IN A2 2569.88106 mm2 or CS scanned with CamScanner

6 & more (lensive) lo kvm) 106 (0.3985) 403) mm 2869.88 106 mm" 1.557 N/mm2 2 ol o move (lensile) < 2 Smare (Comp) (lo) 106.10.2015) 103 269.8x106 0.78h Nimme Omaie (Camp) Scanned with CamScanner