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Question 12.P.1: Find the maximum stress on the section AB of the cramp when ......

Find the maximum stress on the section AB of the cramp when a pressure of 7500 N is exerted by the screw. The section is rectangular 2.5 cm by 1 cm. (Cambridge)

12.1
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The section AB is subjected to a tension of 2500 N, and a bending moment (2500)(0 10) = 250 Nm. The area of the section = 0.25 × 10^{-3} m². The direct tensile stress = (2500)/(0.25 × ^{-3}) = 10 MN/m². The second moment of area = \frac{1}{12}(0.01)(0.025)³ = 13.02 × 10^{-9}  m^4. Therefore, the maximum bending stresses due to the couple of 250 Nm are equal to

\frac{(250)(0.0125)}{(13.02  \times  10^{-9})}  =  240  MN/m^2

Hence the maximum tensile stress on the section is

(240 + 10) = 250 MN/m²

The maximum compressive stress is

(240 – 10) = 230 MN/m²

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