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A mountain bike manufacturer is considering a new product line that will include handlebar extenders applied to the ends of the handlebars, as shown below. To validate this design change, you have been tasked with analysing the structure. You have produced an idealised structure, shown below, where you consider half the length of the handlebars with a fixed boundary condition (A) applied to the plane of symmetry. You have estimated that the maximum load that a rider can apply to one handlebar extension is 75 Newtons that acts 100 mm from the centreline of the handlebars. The handlebars have a circular cross-section with an outer diameter of 32 mm and a wall thickness of 3.25 mm.



Answer :

cellopez2005

Answer:

The maximum bending stress in the handlebar extension is ____ N/mm^2

Explanation:

1.Calculate the radius of the handlebars: (32 mm - 3.25 mm) / 2 = 14.875 mm

2.Calculate the maximum bending moment: 75 N * 0.1 m = 7.5 Nm

3.Use the formula for bending stress: σ = M*c/I, where c is the distance from the neutral axis to the outer fiber

4.Calculate the moment of inertia for a solid circular section: I = π/64 * (D_outer^4 - D_inner^4)

5Substitute the values into the formula to find the maximum bending stress

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