Q2) For the tapered cantilever beam shown, find the optimum dimension of the cross section that minimize the weight of t

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Q2 For The Tapered Cantilever Beam Shown Find The Optimum Dimension Of The Cross Section That Minimize The Weight Of T 1 (41.52 KiB) Viewed 25 times

Q2) For the tapered cantilever beam shown, find the optimum dimension of the cross section that minimize the weight of the beam. Assume that the failure condition of the beam are as follows: 1- The material should not fail under the action of the load. 2- The deflection of the free end should not be more than 10 mm. Consider the following limits of the dimensions: 100mm ≤ b ≤ 1000mm 5mm h≤ 25mm L= 3m G=8x10¹ N/mm² (Shear Modulus) Allowable shear stress =90 MPa 7 = £ (15 MARKS) Other data are as follows: P= 50 kN/m E- 21x10¹ N/mm² (Modulus of elasticity) Allowable bending stress = 165 MPa M.Y Gb 1 L h