The relation between bending moment and the second moment of area of the cross-section and the stress at a distance y from the neutral axis is
stress=bending moment * y / moment of inertia of the beam cross-section
Plastic Section Modulus about the element local y-direction
pi x d3 / 32
This is a technique used by civil and mechanical engineers to calculate the cross section of a geometric figure. It is used to determine the Yield Moment also called My.
I think you are refering to the 'section modulus' which is a geometrical property of a cross section. it is the moment of inertia divided by the distance from the centroid or neutral axis to the farthest point of the section. this modulus measures flexural resistance.
the part of beam which has maximum section modulus should take more load for more strength.
section modulus is a measure of the strength of a beam. The more the section modulus the more is the strength.
section modulus of any section is the ratio of the moment of inertia to the distance of extreem fibre from the neutral axis. plastic section modulus is the section modulus when the cross section is subjected to loading such that the whole section is under yield load. numerically it is equal to the pdoduct of the half the cross section area and the distance of center of gravity of tension and compression area from neutral axis
Sectional modulus of any section determines the strength of a section, i.e. if two sections made up of same material then the section with higher section moduls will carry higher load as the allowable stress is constant for a given material. in analysis of it is useful in determining the maximum stress value to which the section is subjected when the moment is konwn from the relation f=(M/Z) where f= stress at extreem fibre M= maximum bending moment on section Z= section modulus = (moment of inertia/ distance of extreem fibre from NA)
The bending stress in a beam is inversely proportional to the section modulus.
Plastic Section Modulus about the element local y-direction
Torssional section module
Section Modulus is moment of inertia divided by distance from center of gravity to farthest point on the cross-section or I/c. The units of Moment of Inertia is distance^4 so the units of section modulus is distance^3 ( distance cubed ). So if your units are in meters: I/c = (m^4)/(m) = m^3
pi x d3 / 32
Young's modulus or modulus of elasticity is a property of the material. As in both the wires we have copper material the young's modulus will be the same. It does not get altered with length or area of cross section.
This is a technique used by civil and mechanical engineers to calculate the cross section of a geometric figure. It is used to determine the Yield Moment also called My.
Because Young's Modulus is a property of solids.Put simply if you get a section of wire and stretch it or compress it, Young's Modulus predicts the amount a wire will extend under tension or buckle under compression.You can't do this with gases and liquids so they do not have a Young's Modulus
I think you are refering to the 'section modulus' which is a geometrical property of a cross section. it is the moment of inertia divided by the distance from the centroid or neutral axis to the farthest point of the section. this modulus measures flexural resistance.