Draw the shear force diagram for the beam and determine the

Question

1.  When the 5mm diameter bar is subjected to a tensile force F, yield occurs when the bar extended by 4um.

Calculate

a. The yield stress of the material

b. The force required to produce yield.

 

Young’ Modules for the bar materials is 150 GNm^-2

2. A material is formed in solid sphere  and has a diameter of 100 mm when at a pressure of 2MPa , if the diameter of the sphere of reduces by 0.1mm when the pressure if increased to 6MPa, determine the bulk modules of the material.

3. A material has a modulus of rigidity of 100 GNm'² and a Young's Modulus of 250 GNm^-2. Calculate the expected value of poisons ratio for the material.

4. The simply supported beam shown in FIG 4 is 5m long with a Young's Modulus of 210 GNm'. The cross section of the beam is as shown in FIG 5.

(a) Draw the shear force diagram for the beam

(b) Determine the position and magnitude of the maximum bending moment.

(c) Plot a graph of deflection along the length of the beam (calculate the deflection at lm intervals).