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The bending stress in a beam is inversely proportional to the section modulus.

Q: Is bending stress is directly proportional to section modulus?

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The resistance of the wire is directly proportional to the length and inversely proportional to the area of cross section. Also it depends on the material of the wire with which it is made. So three factors. Length, area of cross section, material.

bending force is the amount of energy it takes to compromise the item from its natural shape or conditionA bending force is a combination of tension and compression.

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.

If the wire's cross-section area is constant, then its resistance per unit length is constant, and the total resistance should be directly proportional to the length of a wire segment.

Resistance R =p(L /A)i,e Resistance(R) of a conductor will be directly proportional to its length(L) ==> if the length of the conductor increases its resistance also will increase.i,e Resistance(R) of a conductor is inversely proportional to its cross section area(A) ==> if the Area of the conductor increases its resistance also will decrease.

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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

section modulus is a measure of the strength of a beam. The more the section modulus the more is the strength.

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)

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

Plastic Section Modulus about the element local y-direction

Torssional section module

Assuming constant cross section, the resistance is directly proportional to the length.

The resistance of the wire is directly proportional to the length and inversely proportional to the area of cross section. Also it depends on the material of the wire with which it is made. So three factors. Length, area of cross section, material.

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

bending force is the amount of energy it takes to compromise the item from its natural shape or conditionA bending force is a combination of tension and compression.

pi x d3 / 32

The resisting bending moment is the product of the yield strength (of the beam material) and the section modulus of the beam. The RBM thus combines the material attributes as well as the geometric attributes of the beam and gives a useful metric to compare different beams irrespective of material or sectional geometry.