MTE course description - page Topics covered include basic concepts of mechanics and vectors, Free-Body diagrams and equilibrium of particles, Free-Body diagrams and equilibrium of rigid bodies, force systems, analysis of trusses, beams and frames, distributed forces, centroids and moments of inertia, internal shear and bending moments in beams, friction and application of frictional forces.
Displaying all 83 video lectures. Lecture 1 Scalars and Vectors https: Lecture 2 Parallelogram Law and Triangle Method https: At first, the video demonstrates the parallelogram law clearing the concept that if two vectors can be represented by two adjacent sides of a parallelogram then the diagonal of parallelogram will be equal to the resultant of these vectors regardless of the addition or subtraction operation.
Moving on, the video discusses on triangle Statics tutorial where vectors are joined tip to tail for addition and this is independent of orders of summation.
The subtraction using the triangle method is very similar to parallelogram law. Lecture 3 Unit Vectors and Components https: A unit vector is the vector having magnitude Statics tutorial and are often parallel to the coordinate axes pointing toward positive value of the coordinate.
The unit vectors are useful as they ease the way to turn magnitude to vector by giving directions. Using the concept of unit vectors, the video resolves the given multiple vectors in x and y components and subsequently shows how to add those together.
Lecture 4 Vectors Example https: Moving on, the video shows how to resolve the given vectors into x and y components explaining all the facts and figures in details. Lecture 5 Vector Tower Example https: The video asks to find out the force exerted in left side cable.
The height of the tower is given as 20 meter. As the tower is stable at its position, so for equilibrium forces at left side must have to be equal with the forces acting from right side of the tower.
Using this principle together with applying of vectors resolving technique, the video step by step shows how to determine the tension force exerted in the cable used to give support the tower from left side. Lecture 6 3D Vectors https: Each axis is located at right angle from the other two axes.
The video shows the three planes e. It is necessary to have clear concept on 3D axes to understand the workouts on 3D vectors in doing the study of engineering mechanics.
Moving on, the video shows how to plot a point in 3D coordinates system followed by the plotting of 3-D vectors. Overall, the video tries to give a brief inside to 3-D vectors plotting which is quite simple yet very important for doing different operations of vectors over the 3-D coordinates system.
Lecture 7 3D Vector Example Part 1 https: The video, then move on to a problem, with the objective to find the resultant vector magnitude from the given data. In the exemplary problem, there are two vectors given with the acting angle over the 3-D reference frame.
The absolute values of these vectors are also given. Lecture 8 3D Vectors Example Part 2 https: The video step by step shows how to add unit vectors discretely at x, y and z axes followed by the addition operation of all three unit vectors to obtain the resultant vector over the 3D reference frame.
Doing so, the video explains the addition of vectors having negative magnitude in value. Moving on, the video briefly shows how to obtain the resultant vector absolute magnitude applying the formula introduced in earlier video and subsequently elaborates how to do angle calculation to get the resultant vector direction in 3D reference space.
Later, the video shows the procedure to get unit vector of the obtained resultant vector. Overall, the video tries to give a brief inside to clear the concept of 3-D vector operation in 3-D reference space.
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