EXAMPLE 6.4 Draw the shear and moment diagrams for the beam shown in Fig. 6-7a. 15 kN 80 kN·m -5 m B -5 m (a) 5 kN/m D

The 8 m long cantilever beam shown in the figure below carries a uniformly distributed load of 10 kN/m over a span of 2 m, a uniformly varying load that varies linearly from zero to 20 kN/m over a span of 5 m, and a 15 kN concentrated load at the free end as shown. 1.1 Nearly sketch the shear force and bending moment diagrams 1.2 What is the maximum shear force and where does it occur? 1.3 What is the maximum bending moment and where does it occur? 1.4 Find any points of contraflexure. 20 kN/m 15 kN 10 kN/m 1 m 5 m 2 m

Draw the normal force (N), shear force (T) and bending moment (M) diagrams of the beam whose span and loading condition are given in the figure. L3(m)=1.5 L4(m)=2 P3(kN)=44 P4(kN)=82

Under cruising conditions, the distributed load acting on the wing of a small airplane has the idealized variation shown in the figure. Calculate the shear force Vand bending moment M at 4 m from the tip of the wing.

Draw shear force and bending moment diagram of the beam loaded as shown in the figure. 20 kN 12 kN 1.5 kN/m A D 1.8 m 2.4 m 2.0 m

simply supported beam in Fig. (b) has a rectangular cross section 120 mm wide and 200 mm high. (a) Draw and calculate the sheer force and bending moment diagrams for given simply supported beams. (b) Compute the maximum bending stress in the beams and sketch the bending stress distribution over the cross section on which the maximum bending stress occurs.

Q3: Draw the shear force and bending moment diagrams for the loaded beam shown (see figure below). ( 125 kN 50 kN/m А B C 3 m 12 m

Q1 A A simply supported beam carries a UDL of 25 kN/m over the entire span of the beam is shown in Fig. 6. If the maximum bending stress is 60 MPa, find the span of the beam. Also find the maximum shear stress developed in the section. Draw the shear stress distribution diagram. 200mm ,w = 25kN/m 50mm - 250mm (a) (b) B Derive the flexure (Bending) formula.

Q3: Draw the shear force and bending moment diagrams for the loaded beam (shown (see figure below). (i : 125 kN 50 kN/m A В 3 m 12 m

The Simply supported beam in Figure has a rectangular cross section 120 mm wide and 200 mm high. (1)Compute the reaction forces Ra and Point RE. (2)Compute the maximum bending stress in the beam. - --- AAIL (4)Compute the bending stress at a point on section B that is 25 mm below the top of the beam. |15 kN 6 kN/m 100 mm NA - В ID 100 mm 0.8 m 120 mm 2 m 1.0 m RA RE (a)