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Problem 1: Solve the following three questions of the beam ABCD Note that A is a fixed end; B is a pin connection; C is a roller support; and D is a free end.
1) Draw the quantitative influence line for the vertical support reaction at point A;
2) Determine the maximum vertical support reaction that can be developed at point A in the beam due to: a concentrated moving load of SkN and a uniform moving load of 3kN/m;
3) Draw the bending moment diagram for the beam ABCD subjected to the loading obtained from 2). (The location and magnitude of the maximum bending moment must be calculated)
Problem 2: Solve the following two questions of the truss arch. Note that A and G are pin supports. The load is moving on the top chord only
1) Draw the influence lines for the force in bar DG.
2) If the truss is loaded by a uniform dead load of 5 kN/m over the entire length of the top chord, determine the magnitude of the bar forces in members DG.
The thickness of each layer is determined by the "last" ID number. Four student numbers are used as the example - Circular and non-circular slip surfaces should be considered
Where should a single 500-lb live load be places on the beam so it causes the largest live moment at D? What is this moment? Assume the support at A is fixed, B is pinned, and C is a Roller
Determine the maximum horizontal distance that a projectile will have at a height of 60 m above the orgin if it is fired at an angle at 70 degrees from the horizontal with a velocity of 50 m/s
In what direction did the cue ball move after the collision? What percentage of its kinetic energy did the cue ball impart to the eight ball?
Include immediate and consolidation settlements, but ignore secondary compression. In your calculation, use three sublayers with thicknesses of 4 ft, 8 ft and 16 ft for the top, middle and bottom layers. Ignore any settlement caused by the dense s..
The total annual runoff from small drainage basin is determined to be approximately normal with a mean of 14.0 in. and a variance of 9.0in^2. Determine the probability that the annual runoff from the basin will be less than 11.0 in.
How many 34-inch diameter rivets are required to transmit 55,000 lb from the two angles to the gusset plate if the allowable shear stress in the rivets is 15,000 psi. Assume each rivet carries the same amount of load.
develop a spreadsheet application that will display in a table the values of modulus of elasticity Ec for concrete having unit weight ranging from 95 pcf to 155 pcf (in steps of 5 pcf) and compressive strength ranging from 3500 to 7000 psi
Consider a house into which radon is emitted through cracks in the basement. The total volume of the house is 650 m3 (assume that the volume is well mixed throughout).
A sag vertical curve along an existing vertical alignment begins at station 23+45 and ends at station 30+25. The initial grade coming into the curve is -2% and the grade out is +5%. What is the finished grade elevation on the curve at station
Air at 70 degrees Celsius and atmospheric pressure flows with a velocity of 22 fps through a 3-in diameter pipe (e=0.00015 in). Find the friction head loss in 75 ft of pipe.
Constructing the foundation causes changes in the levels of vertical stress at all points in the soil. One such point lies at the centre of the footing plan, and is at a depth of 10 m. Determine the increment of vertical stress there.
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