A jumper (mass = 70 kg) lands with a peak force of 19 times body weight. If the load is concentrated on the facets, which have an area of 1 cm2, will they break? (Bone Ultimate Stress = 190 MPa, g = 9.8 m/s2). Hint: Remember to convert the cm to m twice since it is squared.
Yes |
|
No |
here,
Force = 19mg
area, A = 1 cm^2 = 1 *10^-4 m^2
here, for the maximum stress acting
maximum stress = force/area
maximum stress = 19 * 70 * 9.8/(1 *10^-4)
maximum stress = 1.303 *10^8 N/m^2 = 130.3 MPa
the stress acting is 130.3 MPa
hence, this is less than the ultimate stress of 190 MPa
hence ,NO the bone will NOT break
A jumper (mass = 70 kg) lands with a peak force of 19 times body weight. If the load is concentrated on the facets, whic...
Materials fracture when the force per unit area, called STRESS, exceeds a critical value. In general, the critical stress depends on the direction as well as the magnitude of the force. For example, bones break differently when subjected to torsional (twisting) stress than when subjected to compressional (or squeezing) stress. Let us consider compressional stress. Wet human bone for 20-39 year olds has an ultimate compressive strength of 1.6x104N/cm2 [8]. Consider a person who falls from a height to the...
i got 1.4 but it was incorrect
and i am not sure why. Please help!
READING 2 Materials fracture when the force per unit area, called STRESS, exceeds a critical value. In general, the critical stress depends on the direction as well as the magnitude of the force. For example, bones break differently when subjected to torsional (twisting) stress than when subjected to compressional (or squeezing) stress. Let us consider compressional stress. Wet human bone for 20-39 year olds has...