Question

Question 3. A uniform load of intensity 12 kN/m and a concentrated load of magnitude 2.4 kN are supported by a beam ABC with overhang at one end (see Figure 3). Draw the shear-force and bending-moment diagrams for this beam. Also, determine the position of maximum moment with respect to point A.

12 kN/m 2.4 kN A С B -1.6 m -1.6 m -1.6 m

Answer 1

Notation used are standard notation.
Extramarks Date 1 Page No. 2-4 KN 12 kN/m А ID -1.6m y litm 1.6m IRB RA Ev=o RA + RB = 12x1.6 +2.4 = 21.6 kN) A EMA=0 = -3.2 RB + 12 X 1.6X0.8 +2.4x4.8=0 RB = 8.4 kN RA= 13.2 KN . 2.4 A RA-B2 TRB = 8.4 € 121N/m 3 V 13.2 2.4 S.F.D 6 7.26 5.76 8.M.) +

Extramarks Date_____ Page No. Calculation at point G S.F=0 13.2 3 13.24 = 6X1.6-6y 16-y y y -0.5m şi ? S.fo lat point D) 13.2-12 X 1.6 GEN at EN B.ME 13.2 (1.6-7) - 12 (1.6-4² = 13.2 x 1.1 6X1.12 7.26 kN-m At Di B.MO - RAXI6 - RAXI 6 - 6 X 1.6X1.6. 13-2x1.6 - Å x1-6² 5.76 kN-m At By B. Me = 2.48), 6 3.84 KN-m Maximum Bending moment with reped to A is 7.26 kNm