An A-frame structure supporting a force and a moment. The feet are at the different vertical positions so the solution will require simultaneous equations, unless you rotate the coordinate system.

An A-frame structure supporting a force or a moment.  One leg is a two force body.

End of chapter exercises for Engineering Statics: Open and Interactive 

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

Given a linear programming problem in standard form, write down the dual problem.

Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.

Determine expressions for internal shear and bending moment as a function of $x$ for a beam with two vertical loads.

Find the reactions for a beam with a uniformly distributed load.

Find the reactions of a simply-supported beam with a trapazoidal distributed load.

Find the reactions for a beam with a uniformly varying distributed load.

Find roots and the area under a parabola

Use integration to find the centroid of an area bounded by a parabola, a sloping line, and the y-axis.  

Find the area, first moment of area, and coordinates of a general spandrel.  The area may be above or below the function.

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Find the centroid of a shape made up of a rectangle and two triangles.

Find the centroid of a shape made from a rectangle, triangle, and circle.

Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.

Draw Shear and Bending Moment Diagrams for a cantilever beam with two forces and a concentrated moment load.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

Draw shear and bending moment diagram for a symmetrically loaded beam resting on the ground.

Draw Shear and Bending Moment Diagrams for a simply supported beam with triangular loading

Draw shear and bending moment diagram for  beam with a uniformly distributed load and a concentrated force

End of chapter exercises for Engineering Statics: Open and Interactive 

MECE3930U: Heat Transfer Bonus Assignment (Transient Heat Conduction).

Please follow the Numbas guidance first if you did not attend the Numbas session.

Friction

Friction

Friction

Friction

Friction

Determine frictional force acting on a block on an incline.  Coefficients of friction, weight and a horizontal force are given