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Why is the maximum normal stress in ABC minimum when STRESS A = STRESS B?

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Two brass rods AB and BC, each of uniform diameter, will be brazed together at B to form a nonuniform rod of total length 100 m which will be suspended from a support at A as shown. Knowing that the the density of brass 8470 kg/m3. determine (a) the length of rod AB for which the maximum normal stress in ABC is minimum, (b) the corresponding value of the maximum normal stress. 15 mm 100 m -10 mm Fig.P1.6

Explanation / Answer

For rod AB

At B we get normal stress due to weight of rod BC

At A we get normal stress due to weight of full rod (AB+BC)

so we can say max stress is at A and min stress at B

then inorder to have min stress we have to consider stress at B should be max normal stress in the rod AB

thats why stress at A=B

Note- Here we are considering min stress at B because it is the weakest point in the rod ABC

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