86 results authored by William Haynes - search across all users.

### Refine by Refine by

• #### Topics

• Question
• Question

Find the reactions of a rigid body (a truss) at a pin and roller.  All loads are either horizontal or vertical.

• Question

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

• Question

Locate the centroid of a shape made of two rectangles, then find the moment of inertia of the shape about an axis passing through the centroid.

• Question

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

Question
Shear and bending moment diagram for a beam loaded with concentrated force and a uniformly distributed force.
• Parallel Axis Theorem
Question

Write expressions for the moment of inertia of simple shapes about various axes.

• Question
Given a loaded truss, identify any zero force members by inspection.
• Question
Simple geometry to introduce the three-force-body procedure.
• Free Body Diagram 2
Question
Identify errors in student-drawn free body diagrams of a rigid body.
• Free Body Diagram 1
Question
Identify errors in student-drawn free body diagrams of a rigid body.
• Question

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

• Question

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

• Question

Determine the internal shear force, normal force, and bending moment at a specified point.

• Question
• Question
Draw Shear and Bending Moment Diagram for a beam with two uniformly distributed loads.
• Question
Shear and Bending Moment diagram for a cantilevered beam loaded with concentrated forces and moments.
• Question
Shear and Bending Moment diagram for a beam with several concentrated loads
• Question

Find the forces in the members of a truss using the method of joints.

Question
Determine the maximum load on a truss given two constraints.  Truss  includes zero-force members.
• Question

Find the moment of inertia of semi and quarter circles using the parallel axis theorem.

• Question

Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.

• Question

Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.

• Question

Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.

• Question

Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.

• Question

Find moment of inertia and radius of gyration for a built-up beam made of two channels and two plates.

• Question

Find centroidal moments of inertia and radius of gyration for a beam composed of  two angle sections forming a box beam.

• Question

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

• Question

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

• Question

Solve for the internal force in three members of a truss.