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Unformatted text preview: EG1109 (Part II) – Mechanics of Materials ib-Tutorial 4 EG1109: STATICS and MECHANICS OF MATERIALS INQUIRY-BASED TUTORIAL 4 Question 1 A rectangular block is subjected to the resultant forces shown; the loads are applied uniformly over the surfaces indicated. The material has a Young’s modulus E = 25 GPa and a Poisson’s ratio ν = 0.2. x z y 120 kN 180 kN 60 kN 50 kN 200 mm 100 mm 50 mm 100 kN (a) Following the Cartesian coordinate axes illustrated, determine the values of the stress and strain components describing the state of the material, and write them down according to the matrix layout below: [ ] ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = zz zy zx yz yy yx xz xy xx σ τ τ τ σ τ τ τ σ σ [ ] ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ = zz zy zx yz yy yx xz xy xx ε γ γ γ ε γ γ γ ε ε [Note that the shear modulus can be calculated from the relationship between Young’s modulus, shear modulus and Poisson’s ratio: E = 2 G (1+ ν ).] (b) What is the ratio of the final to the original (unloaded) volume of the block...
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- Spring '11