By the equipment as shown in the figure, temperature can be measured. The bar AB and CD are made from aluminum and titanium. The coefficients of thermal expansion are 23.6x106 1/K and 8.2x106 1/k. Obtain the relationship between the temperature and the vertical displacement at the point E. 6 mm 72 mm C 36 mm D

50 mm PROBLEM 2.55 Brass 37.5 mm A brass link (E, = 105 GPa, a, = 20.9x10/°C) and a steel rod (E, = 200 GPa, a =11.7x10/°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine (a) the final stress in the steel rod, (b) the final length of the steel rod. 37.5 mm 0.12 mm -250 mm 30-mm diameter Steel A Section A-A 0, =-36.8 MPa L, = 250.147 mm %3D

A square bar subjected to a tensile load of 100KN having a gauge length of 200mm, extends to a length of 0.19mm. Given the tensile strength as 200 MPa, determine, (i) Side of the bar (express in mm) (ii) Final length (express in mm) (ii) Modulus of elasticity (express in GPa)

A long metal plate (E = 210 GPa) with some cutouts in it is mounted between two rigid plates at 6 am. By noon, the temperature has risen by 20°C. The structure is made from aluminium with a coefficient of thermal expansion of a = 23 x 10-6/°C. Please use the stress concentration chart shown below for any relevant calculations. a10 h L b O Use the following values in your working out: K 3.2 3.0 2.8 2.6 2.4 2.2 2.0 L = 13 m 0 0.1 P 0.2 W W Javg 0.3 2r P (w2r)t 0.4 P ▬▬▬▬▬▬▬ 0.5 h = 5.3 m a = 0.8 m b = 1.6 m a) What is the average normal stress throughout the plate at noon? b) What is the maximum stress at any point in the structure? c) The material the plate is made from has a tensile yield stress of 416 MPa and a compressive yield stress of 200 MPa. Using these values, do you expect the plate to yield at/before noon?