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What is the practical application of shear center?
The way I understand it is that the shear center is the point of a cross-section, where loads can be applied without causing torsion over the longitudinal axis (normal to the cross-sectional plane).
How does Tensile strength differ from Shear strength?
Shear strength measures the ability of a fastener to withstand a load at right angles to the axis of the fixing connection . Tensile strength measures the ability of a fastener to withstand a force along its axis
If you are a geotechnical engineer in what situations would you specify shear box testing as an aid to geotechnical design?
Shear box tests are used to derive the following soil properties:The peak shear strengthAThe residual shear strength (may also be referred to as the critical state)BThe cohesion (where applicable)CThe friction angleDA Derived by plotting the shear stress vs. horizontal strain and finding the maximum shear stress value.B Derived as above, but from the post peak horizontal portion of the stress strain curve.C Derived from a plot of peak shear stress vs. normal stress and is equal to the shear stress where the line of best fit intersects the shear stress axis. NB for cohesionless materials such as clean sands or gravels this value will be zero.D Derived from same plot as C but is calculated by Tan-1((Shear stress - Cohesion) / Normal stress)).Please see the related link for further information.
Assumptions of ultimate load method?
1. Plane sections normal to axis remain plane after bending. This implies that strain is proportional to the distance from neutral axis. 2. Maximum strain in concrete of compression zone at failure is 0.0035 in bending 3. Tensile strength of concrete is ignored. 4. The stress-strain curve for the concrete in compression may be assumed to be rectangle, trapezium, parabola or any other shape which results in prediction of strength in substantial agreement with test results.
What is the plastic section modulus of steel section?
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
What kind of stresses are produced in a beam during transverse vibration?
If you load it normal to the beam axis you get bending stresses ( tension and compression) and shear stresses. If you load it along the axis you get axial stress ( tension or compression)
How do you find ultimate bending moment of steel beams?
Assuming linear elastic bending with small deformations and planes perpendicular to the neutral axis remain plane after bending, then for a rectangular beam: Moment = (Yield Stress)*(Second Moment of Area)/(Distance of surface to Neutral Axis) For Ultimate Bending Moment, assume stress is uniform throughout the beam, and acting through half the distance from surface to neutral axis, then: Moment = Stress * (Area/2)*(h/4 + h/4) For a better visualization check out Popov's textbook, Engineering Mechanics of Solids, Chapter 6, Section 6.10
Difference between unsymmetrical and symmetrical bending?
Symmetrical bending occurs when a beam is loaded uniformly along its length, resulting in bending stresses that are equal on both sides of the beam's neutral axis. Unsymmetrical bending occurs when a beam is loaded unevenly, causing different magnitudes of bending stress on opposite sides of the beam's neutral axis.
What is mohr's circle?
I am not sure if the term is used in cars and vehicles, but in the mechanics of materials, Mohr's circle is a graphical approach for finding solutions of stresses (or strains) of an element when the coordinate axes are rotated by a certain angle. In other words when you want to find the stresses (or strains) on a plane that is inclined to a certain angle from the plane of known stresses. When the technique is used for stresses, you draw a Mohr's circle of stresses and if it is for strains, you get the Mohr's circle of strains. When you work out the algebraic equations that transform known stresses (or strains) at a point to stresses (or strains) in an inclined plane, they result into an equation of a circle on a coordinate system whose horizontal axis is formed by the normal stress (or strain) and the vertical axis is formed by the shear stress (or strain). It is called the Mohr's circle since the technique was first developed by a German engineer called Otto Mohr.
What is the formula for shear and stress?
Just like axial stress, shear stress is force divided by area. The area is the surface the force acts over. For example, imagine two wood blocks that are nailed together. If you apply a force to the top block orthogonal to the longitudinal axis of the nail and the same force in the opposite direction to the bottom block, the shear stress (𝝉) in the nail is 𝝉 = F/A or F/(πr2) where r is the radius of the nail.
How do you calculate neutral axis of a wooden beam?
In order to compute the neutral axis of a beam, we need its dimension and shape.
Which neutral country was surrounded by axis conquest and axis countries?
Switzerland
When a minimum is reflected over the x-axis it becomes?
A maximum!A maximum!A maximum!A maximum!
What is neutral axis of a beam?
The Neutral Axis of a concrete beam is that axis where it is neither in tension nor compression. The transition of tensile to compressive forces set up due to bending occurs on the neutral axis. Its position in a beam depends on material properties of the concrete and reinforcing steel.
What are some of the examples of Mohrs circle of strain question and solutions?
Given principal strains ε1 = 300 με and ε2 = -200με, determine the maximum shear strain and the orientation at which it occurs. Solution: Using Mohr's circle, we can plot the principal strains and determine the radius of the circle. The maximum shear strain is equal to half the diameter of the circle, and the orientation is given by twice the angle from the x-axis to the point representing the maximum shear strain on the circle. If the normal strain is 500 με and the shear strain is 200 με, determine the principal strains and their orientations using Mohr's circle. Solution: We can plot the given strains on Mohr's circle, determine the center and radius of the circle, and then identify the principal strains and their orientations. This involves finding the intersection points of the circle with the strains axis to identify ε1 and ε2, as well as the orientation angle.
Was Mongolia allies or axis?
No. It was actually a neutral country.It actually remained neutral.
How to calculate Q first moment of inertia above and below the neutral axis?
-find the area(A) of the shape above the neutral axis (or above a particular point if given) - locate the centroid (y')of the shape relative to the neutral axis(or above point) using y' = ∑AiYi / ∑Ai - first moment of area = A*y' (or y' + distance of given point from neutral axis)
