The notched beam in Fig Q3 is subject to a transverse load of 9.05KN and a couple of 1200Nm applied to the left hand end of the beam. The beam is made of aluminium having a yield strength of 500MPa. The dimensions (R), (S), (T), (M) and (N) are 50mm, 200mm, 95mm, 20mm, and 50mm respectively. Each notch is 6mm deep and the notch radius is 2mm. a) Sketch the free body diagram, bending moment and shear force diagrams for the loaded beam. b) Calculate the maximum axial stress in the beam and state its location, ignoring the notch. c) Sketch the stress profile through the depth of the beam at the notch and include the maximum and reference stresses. d) Determine the likely locus of failure and the factor of safety based on axial yield, for both a notched beam and an identical beam without notch. Comment on the suitability of the material in each case.

Need help with parts a-e

Shown below is a rigid beam ABC that is connected by pinned connections to rod (1) at A, rod (2) at C, and pivots freely at B. Rod (1) is made of bronze (E=100GPA, a=16.9x10-6/°C) and is 24mm in diameter. Rod (2) is made of aluminum (E=70GPA, a=22.5x10-6/°C) and is 16mm in diameter. The bars are unstressed as shown at 25°C. The temperature of bar (2) is reduced to 10°C while the temperature of bar (1) is held constant. Find the normal stress in bars (1) and (2). 250mm (1) |이 B A 200mm 350mm 500mm (2)

A wooden beam is loaded by a concentrated load ? = 1000 N and supported by boundary conditions as shown in Figure Q5(a). The cross-section of the beam is shown in Figure Q5(b). Given that ??? = 1600 mm, ??? = 3400 mm, ?0=10 mm, ?1 = 20 mm, and ? = 230 mm, ℎ0=150 mm, ℎ1=40 mm, determine the following quantities below: