5ENT1078: Finite Element Analysis with ANSYS - Engineering Assessment Answer

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A cantilever beam has a cross section of rectangle and has the height of 10mm and length of 100mm. The beam is made of mild steel with Young’s modulus of 210000 N/mm2 and Poisson’s ratio of 0.3. 1) Using 4 node quadrilateral elements (182),

i) With element numbers of 10, 40, 80 & 120 respectively to determine the tip deflection and maximum stress and position when a force of 100N is applied at the tip when the thickness is 2mm. Determine the smaller element number at which the tip deflection is converged. ii) With a satisfactory element number from section 1)

i), to determine the thickness of the beam when yielding stress of the material is 370N/mm2

2) With beam elements (2 node 188), to determine the tip deflection and maximum stress and position when a force of 200N is applied at the tip when the required thickness is obtained with 4 node quadrilateral element in task 1

(ii). Please note that maximum number of beam elements must be less than 50.

3) Calculate the maximum deflection at the loading position with the following equations 12 3 bd I

(1) where b is the thickness and d is the height of the cross-section of the cantilever beam. EI Pl uy 3 3

(2) where P is the force loaded at the tip, l is the length of the cantilever beam and E is Young’s modulus of the beam material.

(3) Compare the values of deflections at the loading tip with three method.

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