What is the effective spring constant (that is, the ratio of force to change in length) of a copper cable that is 8.0 mm in diameter and 5.0 m long? In N/m
i come across an quite stable reference on helical spring in Mechanical engineering layout by using shigley and mitchell. not in basic terms does the helical spring compresses, it bounces too. the stress it may take is tauK8FD/pid^3 the deflection is y8FD^3N/d^4G the place the spring consistent is okayd^4G/8D^3N. frequency could be f(one million/4) sqrt(kg/W). those are for mechanical spring. for bio-medical DNA, u might desire to make up an equivalent formular by way of lots of examine.
Spring constant k F / ΔL Plan: derive k from modulus. Young's modulus E is defined as: E stress/strain (F/A) / (ΔL/L) Rearranging, E * (ΔL/L) (F/A) F / ΔL E * A / L So, just look up E for copper, assume cable is solid copper bar (stranded cable is different), plug in area and length to get k.