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A curved beam with eccentricity 0.02D is loaded with 1kN.Centroidal radius=4D and inner and outer radii are 3.5D and 4.5D respectively. Area of cross section is 0.8D². Find the dimension D if allowable stress is 110N/mm² and considering only direct tensile stress.

(a) 4.7mm

(b) 6.8mm

(c) 13.95mm

(d) 3.4mm

This question requires clarification and I found it in a case study.

My question is from the Fracture Mechanics, Curved beams & Thermal Stresses topic in chapter Design Against Static Load of Machine Design

1 Answer

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The optimal answer is (d) 3.4mm

To make it clear: Direct Tensile Stress=1000/0.8D² or σ (t) =1250/D²

1250/D²=110 or D=3.4mm.

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