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Q1. For the structure shown below:
- Determine the reactions.
- Draw the bending moment diagram, shear force diagram and axial force diagram of each member. Draw the bending moments on the tension side.
Q2. Consider the cross-section shown below. All dimensions are in mm.
Determine:
- the location of the centroid.
- the second moment of area about a horizontal axis through the centroid.
Q3. Consider the roof truss shown below.
- Is this structure statically determinate ? Why (not) ?
- State for each member whether it carries compression, tension or zero axial force. Support your answers with clearly drawn free body diagrams showing all relevant forces.
The water table is at a depth of 1 m. Compute the effective normal stress and the shear stress acting on a plane rotated 60 degrees clockwise from the horizontal at a depth of 2.5 m in this deposit.
A plant is to be constructed that will emit 3.5 metric tons of hydrogen sulfide per day. One of the design criteria is that the concentration 1 km downwind from the stack
A new sports car has a drag coefficient of .30 and a frontal area of 21 ft^2, and is traveling at 110 mi/h. How much power is required to overcome aerodynamic drag if p=.002378 slugs/ft^3?
Assume the earth is a sphere with a radius of 6,371,000.000 meters. Three points are defined by their latitude and longitude. Point Latitude (N) Longitude (W) A 40° 25' 48.67" 86° 54' 54.00" B 40° 25' 47.00" 86° 54' 54.00" Purdue CE C 40° 25' 47.0..
Three-point bending test was performed on an aluminum oxide specimen having a circular cross section of radius 5.5 mm; the specimen fractured at a load of 850 N when the distance between the support points was 50 mm.
If the gulf stream flows north from Mexico at 2 m/s on average, howwould I find the average slope of the Atlantic Ocean across the 45degree N latitude near the Eastern Seaboard of the US?
Why is the ‘time value of money' important for the evaluation of engineering projects? Provide at least one practical example to support your view (max 2 pages).
A tray rests on an extendible arm consisting of two steel tubes with two different outer diameters. The downward force at the tray center F0 = 1000 N. Determine the downward deflection of the tray center and the tilt angles of the tray about each ..
A particle is traveling in a straight line at a constant speed of 22.9 m/s. Suddenly, a constant force of 10.7 N acts on it, bringing it to a stop in a distance of 63.6 m.
Determine the settlements when a stress of 100 kPa is applied by the building over an area of 10m × 5 m on the soil surface.
laminar flow of a real fluid down a cylindrical pipe of constant radius R. Poiseuille showed that the velocity profile was parabolic and given by u(r)=c(R^2-r^2), where r is the radial coordinate and c is a dimensional constant.
The specific weight (wt./Vol.) of brass is 520 lb/ft^3. Determine its density (mass/vol.) in SI units. Use an appropriate prefix.
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