CVE40002 Structural Design of Low Rise Buildings SWINBURNEUNIVERSITY oFTECHNOLOGY FACULTY OF ENGINEERING AND INDUSTRIAL SCIENCES Tutorial 1 Revision on shear force, bending moment and deflected shape of beams: 1. Draw the shear force and bending moment diagrams for the following statically determinate beams, annotating the diagrams with maximum values. Also sketch approximately the deflected shape of these beams. Indicate on your bending moment diagrams the tension and compression faces of the beams. a. V P a > V P P D. K- a <- L -> V -> a V V c. V L/2 < L P/2 7 > V P L -> <- L/4 Kamiran Abdouka Page 1 of 3
CVE40002 Structural Design of Low Rise Buildings d. V V V V V V V V V V V w (kN/m) VY <- 1/4 × L x-L/4> e. -> f. w (kN/m) -> -> -> -> -> V V -> w (kN/m) L/4 I V V V V V Vd -> L K A g. w (kN/m) k- L/4 > V VVVVVVVV V V A K- -> L/10 C Denotes an internal hinge where no moment can develop Question :- If support (A) in part (g) cannot support uplift reactions what do you think will happen to the beam? L Kamiran Abdouka Page 2 of 3
CVE40002 Structural Design of Low Rise Buildings 2. For the statically in-determinate beams shown below, sketch the envisaged deflected shape by approximately assuming the positions of point of contra-flexure (points of zero bending moment) and then draw the shear force and bending moment diagrams. Indicate on your beams the tension and compression faces. a. w (kN/m) # V V V V V V VJ V -> L K -> b. w (kN/m) V V V V V V VVVVV V V L K- L -> w (kN/m) c. V V V VV <- L L L > d. w (kN/m) v V V k e. Y V V L V -> L Y Y w (kN/m) V V VVV V L > -> K L Y L L -> Kamiran Abdouka Page 3 of 3