Overweight people have a tendency toward bone damage due to sustained compressions in bone joints and tendons.Īnother biological example of Hooke’s law occurs in tendons. Thus the bone in the top of the femur is arranged in thin sheets separated by marrow while in other places the bones can be cylindrical and filled with marrow or just solid. The bones in different parts of the body serve different structural functions and are prone to different stresses. Weight-bearing structures have special features columns in building have steel-reinforcing rods while trees and bones are fibrous. Bones are classified as weight-bearing structures such as columns in buildings and trees. The behavior of bones under tension and compression is important because it determines the load the bones can carry. Rather they generally fracture due to sideways impact or bending, resulting in the bone shearing or snapping. Effects of temperature upon length might be important in these environments.īones, on the whole, do not fracture due to tension or compression. This is quite a stretch, but only about 0.6% of the unsupported length. Note that this force is a function of the deformation Δ L-it is not constant as a kinetic friction force is. Where Δ L is the amount of deformation (the change in length, for example) produced by the force F, and k is a proportionality constant that depends on the shape and composition of the object and the direction of the force. In equation form, Hooke’s law is given by Second, the size of the deformation is proportional to the force-that is, for small deformations, Hooke’s law is obeyed. First, the object returns to its original shape when the force is removed-that is, the deformation is elastic for small deformations. For small deformations, two important characteristics are observed. Even very small forces are known to cause some deformation. A change in shape due to the application of a force is a deformation. If a bulldozer pushes a car into a wall, the car will not move but it will noticeably change shape. We now move from consideration of forces that affect the motion of an object (such as friction and drag) to those that affect an object’s shape. Determine the change in length given mass, length and radius.Describe with examples the young’s modulus, shear modulus and bulk modulus.Discuss the three types of deformations such as changes in length, sideways shear and changes in volume.Explain Hooke’s law using graphical representation between deformation and applied force. ![]() ![]() By the end of this section, you will be able to:
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