For the beam section shown below, calculate the moments of inertia Ix and Iy. First select a reference system of axes, x’-x’ and y’-y’, determine the centroid coordinates and the location of neutral axes x-x and y-y. Then calculate the moments of inertia using the Parallel Axis Theorem.

Q: Calculate the deflection at the center of the beam in terms of EI using the Macaulay method.

A: According to the Macaulay’s method,

Q: Use the virtual work method to de termine the deflection at point C of the beam shown.

A: Given Data:Total span L=9mE=constant=70GpaI=500×106mm4Concentrated load = 100kNMoment = 300kN-m…

Q: What is the shear stress in a steel W14X257 beam that spans 40ft with a uniform load of 3k/f?

A:

Q: `D (4 in.?) E (4 in.2) 15 ft (3 in.2) (4 in.2) (4 in.?) B 25 k 25 k 20 ft 20 ft E = 29,000 ksi (3…

A:

Q: Use the principle of virtual work to determine the rotation at Support B. (The positive direction of…

A:

Q: Determine the distance y̅ to the centroid of the area and then calculate the moments of inertia Iu…

A: Consider the figure.

Q: Using

A:

Q: In the figure shown, each of the four vertical links connecting the two rigid horizontal members is…

A:

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.