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$\delta = \dfrac{PL}{AE} = \dfrac{\sigma L}{E}$ To use this formula, the load must be axial, the bar must have a uniform cross-sectional area, and the stress must not exceed the proportional limit. If however, the cross-sectional area is not uniform, the axial deformation can be determined by considering a differential length and applying ...
- Solution to Problem 205 Axial Deformation
Problem 205 A uniform bar of length L, cross-sectional area...
- Shearing Deformation
Shearing Deformation Shearing forces cause shearing...
- Stress-strain Diagram
Suppose that a metal specimen be placed in...
- Simple Strain
Also known as unit deformation, strain is the ratio of the...
- Thermal Stress
where α is the coefficient of thermal expansion in m/m°C, L...
- Non-uniform Cross-section
$\delta = \dfrac{PL}{AE} = \dfrac{\sigma L}{E}$ To use this...
- Solution to Problem 205 Axial Deformation
Displacement-time graphs show the displacement of an object from a fixed origin as it moves in a straight line. They show displacement (on the vertical axis) against time (on the horizontal axis) Displacement-time graphs can go below the horizontal axis whereas distance-time graphs can not.
It works because displacement is the product of velocity and time. And in our graph when you multiply velocity and time you're basically multiplying two lengths in our graph and that gives us the area. And so that's the secret to calculating displacements and from a velocity time graph.
In this explainer, we will learn how to use displacement–time graphs and interpret the slope of the curve as the velocity of the body. We start by recalling that a scalar is a quantity that has magnitude (size) but no direction, whereas a vector is a quantity that has both magnitude and direction.
An eagle is flying around and its velocity v as a function of time t is given in the graph below where rightwards is the positive velocity direction. What is the eagle's displacement Δ x from t = 1.0 s to 4.0 s ?
A penguin is trying to cross the street. Its velocity v as a function of time t is given in the graph below where rightwards is the positive velocity direction.
The Velocity-Time Graphs: Displacement Calculations Interactive Video Tutorial describes the significance of area on a velocity-time graph. Details about how to calculate the area between the line and the time axis are explained and modeled through numerous examples.
