The wheel is subjected to a force of 18 kN from the axle. Determine the force in each of the thr

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The wheel is subjected to a force of 18 kN from the axle....

The wheel is subjected to a force of $18 \mathrm{kN}$ from the axle. Determine the force in each of the three spokes. Assume the rim is rigid and the spokes are made of the same material, and each has the same cross-sectional area.

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Key Concepts

Symmetry in Load Distribution

This concept refers to the even distribution of an applied force among components that are identical in geometry, material, and arrangement. In systems like a wheel with equally spaced and identical spokes, symmetry ensures that each spoke carries an equal portion of the total load.

Static Equilibrium

Static equilibrium is the condition in which all forces and moments acting on a system balance, resulting in no net acceleration. By applying static equilibrium principles, one can determine how an external force is shared among the supporting components, ensuring that the sum of the spoke forces equals the applied axle force.

Rigid Body Assumption

Assuming that certain parts of a structure, such as a wheel rim, are rigid means that they do not undergo any deformation under load. This allows the analysis to focus on the load-bearing elements (the spokes) because the rigid component distributes the load uniformly without altering its distribution pattern.

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