Method of sections for Truss member forces

Method of sections for solving Truss member forces
http://civilengineer.webinfolist.com/mech/prob32.htm

Fixed beam calculator for varying load

Fixed beam calculator for Uniformly Varying Load is available at
http://civilengineer.webinfolist.com/fb/fbcalcvr.php

Civil Engineering Calculator

Civil Engineering Calculator with many useful tools for analysis and design http://civilengineer.webinfolist.com/cecalc.htm
Free all-in-one package including Bending moment, shear force, slope deflection, moment of inertia, Moment distribution, fixed beam, overhanging beam, reinforced concrete beam etc.

Moment Distribution Calculator for Indeterminate Beams

Moment Distribution Calculator for solving Indeterminate beams is now available at http://civilengineer.webinfolist.com/mdcalc.htm

with this calculator you can easily solve continuous beams subjected to point load, uniform load, varying load or moment.

Deflection & Slope calculator

Now the calculator for deflection and slope for different loading conditions of cantilever and simply supported beams is available at the following link
http://civilengineer.webinfolist.com/str/sdcalc.htm

Moment of inertia calculator is now revised

Revised version of Moment of inertia calculator is now posted at


http://civilengineer.webinfolist.com/str/micalc.htm

With this calculator now you can calculate all the geometric properties like area,

centroid, moment of inertia, radius of gyration and section modulus of different sections like T, angle, I, circular, rectangular etc.

Resultant of Coplanar Concurrent Forces

Coplanar concurrent forces are those which are lying in the same plane and acting at the same point. The forces can be represnted in scalar form (magnitude and angle) or in a cartesian form(components along x, y, z axes alongwith unit vectors).

Scalar Form
To find the resultant of the system of coplanar concurrent forces the following steps should be followed.

1. Resolve all the forces into their rectangular components along x-axis and y-axis.

Note: Component of a force F along x-axis is F cos θ, (where θ is the angle between the force and the positive x-axis), and the component of a force F along y-axis is F sin θ.

2. Take the algebraic sum of the components along x-axis and y-axis

Σ Fx and Σ Fy.

3. Resultant of the force system will be calculated as

Magnitude, R= sqrt{(Fx)(Fx)+(Fy)(Fy)}

Direction, Angle α =Tan(-1){(Σ Fy/Σ Fx )}

Cartesian form
The forces are commonly resprented in the cartesian form with their x, y and z components as;

F=fx i + fy j + fz k

where fx, fy and fz are the components of the force along x, y and z axis and i, j, k are the unit vectors in the direction of x, y,z axis respectively, e.g., F=2 i + 3 j + 4 k

To find the resultant in the cartesian form, follow the following steps.

1. Resultant R=(Σ fx) i + (Σ fy) j + (Σ fz) k
where Σ fx is the algebraic sum of the x-components of all the forces
Σ fy is the algebraic sum of the y-components of all the forces
Σ fz is the algebraic sum of the z-components of all the forces

2. The magnitude and direction of the resultant will be calculatd in the normal way as for any vector.

For more on Engineering Mechanics visit http://civilengineer.webinfolist.com/mechanics.htm
or refer to Engineering Mechanics - Statics (11th Edition) by Hibbeler.

Importance of Mechanics

Mechanics is considered as the branch of science which deals with the state of rest or motion of bodies subjected to the action of forces.. It is further divided into three branches; rigid body mechanics, deformable-body mechanics and fluid mechanics. Rigid-body mechanics consists of two parts; statics and dynamics. Statics is concerned with equilibrium of bodies at rest or moving with constant velocity. Dynamics deals with bodies moving with acceleration. Most of the civil engineering structures are designed to be in equibrium which needs application of the principles of statics.

For more on Engineering Mechanics, refer to Engineering Mechanics - Statics (11th Edition) by Hibbeler.