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The rigid beam abc is supported by wires bd and ce. the load p causes a downward deflection of 10 mm at c. find the resulting strains in the wires.

User Rich Walsh
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Final answer:

The strain in support wires can be calculated as the change in length over the original length. Without specific properties of wires bd and ce, we cannot compute the strains. Similar calculations for poles and wires in other examples involve deflection and original lengths to discover strain.

Step-by-step explanation:

The question pertains to the resulting strains in wires supporting a beam, which is a concept in mechanical engineering and physics. Strain is a measure of deformation representing the displacement between particles in the material body relative to a reference length. Given that the beam abc has a deflection of 10 mm at c, the strain in the wires bd and ce can be calculated once the geometric and material properties of these wires are known.

Tensile strain is calculated as the change in length divided by the original length (ε = ΔL/L). If the wire's original length and the amount of its elongation are known, the strain can be calculated. Without the specific lengths or changes in lengths of wires bd and ce, we cannot calculate the exact strains in those wires.

In previous examples from the referenced materials, similar calculations are made where one can find the deflection of poles and hence determine the stress and strain in wires. For example, if a wire stretches by 1.0 mm under a load and its original length is 2.0 m, the tensile strain (ε) would be 1.0 mm / 2000 mm = 0.0005 or 5 × 10⁻´.

User Alesha
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