L18 - • Calculate the principal stress at flange-web...

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• stress in a structural member or machine element due to a combination of loads • how to find the corresponding principal stresses and maximum shearing stress Chapter 8 Principal Stresses: in Beams in Transmission Shaft under Combined Loadings
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Principal Stresses in a Beam • Prismatic beam subjected to transverse loading It VQ It VQ I Mc I My m xy m x = = = = τ σ • Principal stresses determined from methods of Chapter 7 • Can the maximum principal normal stress within the cross-section be larger than I Mc m = max maximum normal stress occurs on the surface
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Principal Stresses in a Beam
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Principal Stresses in a Beam • point a: maximum normal stress , no shear stress • point b (flange junction): high normal stress, high shear stress • point c (flange web): no normal stress, high shear stress may be greater than • Determine shear and bending moment in Section A-A’ • Calculate the normal stress at top surface and at flange-web junction. • Evaluate the shear stress at flange- web junction.
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Unformatted text preview: • Calculate the principal stress at flange-web junction σ max m m Principal Stresses in a Beam • Determine reactions at A and D. • Find maximum shearing stress (or shear stress at point of interest . • Find maximum normal stress (or normal stress at point of interest) . • Calculate required section modulus and select appropriate beam section. • Determine maximum shear and bending moment from shear and bending moment diagrams. • Find principal stresses and maximum shearing stress. 8.11 For the selected design (W27X84), determine (a) the actual value of in the beam, (b) the maximum value of the principal stress at the junction of a ±ange and the web. d=26.71 in t f =0.64 in t w =0.46 in b f =9.96 in I x =2850 in 4 S x =213 in 3 σ m max max m = maximum normal stress = maximum principal stress 8.1, 8.11 d=933mm t f =42.70mm t w =24.0mm b f =423mm I x =8470e6 mm 4 S x =18200e3 mm 3...
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L18 - • Calculate the principal stress at flange-web...

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