Analyse the state of stress, Civil Engineering

Analyse the state of stress:

For the cross-section shown in above figure, let us take b = 100 mm, d = 300 mm and M = 9 × 107 N mm and Q = 18 × 104 N and analyse the state of stress at a layer 50 mm below the top layer.

Solution

Using Eqs. (i) and (iii)

σx  =     - 9×12 ×107 ×y/100 × 3002

As extreme layers are at 150 mm from neutral axis,

y = 150 - 50 = 100 mm

∴          σx  =     - 9×12 ×107 × 100/100 × 3003 = -40N/mm2

τxy = 1.5 × 18 × 104/100×300 (1-4×1002/3002) =5 N/mm2

Hence, 75_Analyse the state of stress.png

i.e.

σ2 = -40.616 N/mm2

σ1 = +0.616 N/mm2

τmax = 20.616 N/mm2

Posted Date: 1/30/2013 6:27:31 AM | Location : United States







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