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Mathalino
Mathalino is a compilation of solved problems in Engineering mathematics.
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Solution to Problem 654 | Deflections in Simply Supported Beams
2010-03-16 03:04:42
Problem 654 For the beam in Fig. P-654, find the value of EIδ at 2 ft from R2. (Hint: Draw the reference tangent to the elastic curve at R2.)   ...
 
Solution to Problem 653 | Deflections in Simply Supported Beams
2010-03-16 02:02:33
Problem 653 Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry to note that the tangent drawn to the elastic curve at midspan is horizontal.)   ...
 
Deflections in Simply Supported Beams | Area-Moment Method
2010-03-15 09:42:50
The deflection δ at some point B of a simply supported beam can be obtained by the following steps:   ...
 
Components of a Force
2010-03-15 03:41:33
Forces acting at some angle from the the coordinate axes can be resolved into mutually perpendicular forces called components. The component of a force parallel to the x-axis is called the x-component, parallel to y-axis the y-component, and so on.   ...
 
Resultant of Parallel Force System
2010-03-14 09:55:24
Coplanar Parallel Force System Parallel forces can be in the same or in opposite directions. The sign of the direction can be chosen arbitrarily, meaning, taking one direction as positive makes the opposite direction negative. The complete definition of the resultant is according to its magnitude, direction, and line of action. ...
 
Resultant of Concurrent Force System
2010-03-13 02:11:10
Resultant of a force system is a force or a couple that will have the same effect to the body, both in translation and rotation, if all the forces are removed and replaced by the resultant.   ...
 
Example 2 | Volumes of Solids of Revolution
2010-03-02 21:25:10
Example 2 Find the volume generated when the area in Example 1 will revolve about the y-axis.   ...
 
Example 1 | Volumes of Solids of Revolution
2010-03-01 08:03:34
Example 1 Find the volume of the solid generated when the area bounded by the curve y2 = x, the x-axis and the line x = 2 is revolved about the x-axis.   ...
 
Volumes of Solids of Revolution | Applications of Integration
2010-02-22 10:41:19
The solid generated by rotating a plane area about an axis in its plane is called a solid of revolution. The volume of a solid of revolution may be found by the following procedures:   Circular Disk Method The strip that will revolve is perpendicular to the axis of revolution. In this method, the axis of rotation may or may not be part of the boundary of the plane area that is being revolved.   ...
 
Plane Areas in Polar Coordinates | Applications of Integration
2010-02-22 10:10:17
The fundamental equation for finding the area enclosed by a curve whose equation is in polar coordinates is…   A = \frac{1}{2}{\int_{\theta_1}}^{\theta_2} r^2 \, d\theta   ...
 
 
 
 
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