Question: A horizontal bar is supported from a horizontal surface by two rods, as shown in Figure Q.3. One rod is made of steel and
A horizontal bar is supported from a horizontal surface by two rods, as shown in Figure Q.3. One rod is made of steel and its diameter is 3 mm, and the other rod is made of aluminium and its diameter is 8 mm. Two loads (3500 N and 4000N) are applied to the horizontal bar as shown in Figure Q.3. a) Draw the free body diagram for the horizontal beam and calculate the reaction forces at the ends of connecting rods in terms of the unknown length L (6) b) Determine the unknown length (La), which will ensure that the bar remains horizontal. c) Determine the rod elongation due to the applied 3500 N and 4000 N loads. d) Determine the stress generated on both support rods. D= 8 mm Aluminum 2m 2m 3500 N You may use the following information: = EIGN.m 200 D= 3 mm Steel 120 70 60 Young's modulus for various materials Material Steel Titanium Aluminium Glass L3 m 4000 N Figure Q.3. L=10 m (6) (4) (4)
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