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 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
The elastic modulus of shale is between 1-70 GPa
for an isotropic media you can divide the force on every element in two components. -bulk component -rigid component now bulk component is associated with bulk modulus and other is associated with modulus of rigidity(written as meu). now bulk component is the one which causes the matter to get compressed and the rigid component only changes the shape of the volume. now, water do not get compressed, it is incompressible and that's why the the force on it is affected by only the rigid component. thats why the modulus of rigidity is zero.
Taking the modulus of the wave function allows us to obtain the probability density of finding a particle at a particular position in quantum mechanics. This is because the square of the modulus of the wave function gives us the probability of finding the particle in a given volume element.
The Fineness Modulus (FM) is an index number which is roughly proportional to the average size of the particles in an aggregate sample. It is obtained by adding the cumulative percentages coarser than each of the standard sieves used for segregating sand and dividing the cumulative percentage by 100.
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
Plastic Section Modulus about the element local y-direction
Torssional section module
Yes, bending stress is directly proportional to the section modulus. A larger section modulus indicates that the cross-sectional shape of the member is better at resisting bending, leading to lower bending stress. Conversely, a smaller section modulus results in higher bending stress for the same applied bending moment.
pi x d3 / 32
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
If you are looking to find alternatives for a cross-section design, it is generally recommended to check both the section modulus and the moment of inertia. The section modulus helps determine the resistance of a beam to bending stress, while the moment of inertia indicates the distribution of an area about a neutral axis. Both parameters are crucial for ensuring the structural integrity and efficiency of the design.
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.
the part of beam which has maximum section modulus should take more load for more strength.
Yes, Young's Modulus is the same as Modulus of Elasticity.