Find the maximum stress, Civil Engineering

Find the maximum stress:

A circular bar rigidly fixed at both ends is 1 m long and tapers uniformly from 20 cm diameter at one end to 10 cm diameter at the other end. Find the maximum stress in the bar, if its temperature is raised through 50oC. E = 2 × 105 N/mm2 and α = 12 × 10-6  K-1.

Solution

Here,

d1 = 20 cm = 200 mm

d2 = 10 cm = 100 mm

L = 1 m = 1000 mm

ΔL = 50°C

∴          σmax = Ed1 α ΔT/d2 = 2 ×105×200×12×10-6×50/100

= 240 N/mm2.

Posted Date: 1/30/2013 5:59:46 AM | Location : United States







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