10 kips D P8.33 一

/٤١٢ 9.5. A curved beam is built up by welding together rectangular and elliptical cross-section curved beams; the cross section is shown in Fig. P9.5. The center of curvature is located 20 mm from B. The curved beam is subjected to a positive bending moment M.. Determine the stresses at points B and C in terms of M₂. 15 mm ↓ 30 mm 15 mm 30 mm 20 mm PROBLEMS 397

A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation 4FL of the rod at its lower end when subjected to a longitudinal force Fis given by 8 TdDE

The pin-jointed frame in the figure below has members of cross-sectional area A=1200mm² and young modulus of elasticity of 200.5 GPa. If a vertical concentrated load of 1200KN (downward) and horizontal force of 800KN (to the right) are applied at Point D. Determine: a. The vertical displacement at D in mm. b. The horizontal displacement at D in mm. c. The stress of AD due to actual loads in kN. d. The stress of AB due to horizontal unit load. e. The stress of BD due to vertical unit load. 4m B 3m C 3m F E