Mathalino.com - Online Engineering Mathematics

Example 002 | Components of a Force

Mathalino — Thu, 18 Mar 2010 15:57:42 +0000

Problem 002

Compute the x and y components of each of the four forces shown in Fig. P-002.

Example 001 | Components of a Force

Mathalino — Thu, 18 Mar 2010 15:15:35 +0000

Problem 001

Problem Determine the x and y components of the forces shown below in Fig P-001.

Solution to Problem 654 | Deflections in Simply Supported Beams

Mathalino — Tue, 16 Mar 2010 08:04:42 +0000

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

Mathalino — Tue, 16 Mar 2010 07:02:33 +0000

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

Mathalino — Mon, 15 Mar 2010 14:42:50 +0000

The deflection δ at some point B of a simply supported beam can be obtained by the following steps:

Components of a Force

Mathalino — Mon, 15 Mar 2010 08:41:33 +0000

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

Mathalino — Sun, 14 Mar 2010 14:55:24 +0000

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

Mathalino — Sat, 13 Mar 2010 08:11:10 +0000

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 6 | Plane Areas in Polar Coordinates

Mathalino — Wed, 10 Mar 2010 07:28:41 +0000

Example 6

What is the area within the curve r² = 16 cos θ?

Example 5 | Plane Areas in Polar Coordinates

Mathalino — Wed, 10 Mar 2010 06:51:36 +0000

Example 5

Find the area enclosed by four-leaved rose r = a cos 2θ.