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1. The structure shown consists of five pin-connected members (members AC and BD do not intersect). In addition to the 4kip force shown, the individual members of the structure have the weights listed in the table. Idealize the structure to be a truss and determine the forces supported by each member using the method of joints.
Member
Weight, lb
AB
400
AC
100
BC
200
BD
CD
2. The top chord of the steel truss is subjected to the load shown. The truss has support reactions Ay, Mx, and My from a roller at A and a pin at M. Determine the force supported by member FH using the method of sections. All angles are 60°.
3. A metal bottle cap opener is shown. If a vertical force of 10N at point A is required to remove a bottle cap, determine the internal forces that develop on cross section D.
4. A 5° steel wedge is used to level a 10ft long uniform steel beam AB weighing 400lb. The ends of the beam are supported by concrete walls D and E. Determine the force needed to drive the wedge to the left, and describe the motion of the beam that results (if end B of the beam is lifted or if the entire beam slides to the left). The coefficients of static friction are 0.4 for steel-on-steel contact and 0.3 for steel-on-concrete contact.
5. A rectangular area with base b and height h, and centroid at point C is shown. Determine the area moments of inertia Ix and Ix'.
Find the change in depth and in absolute water level produced by a) a smooth upward step of 1 ft b) a smooth donward step of 1 ft, in the channel bed c) find the maximum allowable size of thw upstream flow to be a possible as specified
The dimensionless henry's constant for TCE at 25 degrees celsius is 0.4. A sealed glass vial is prepared that has an air volum of 4mL overlying an aquesous volume of 36mL.
Weather records for a certain region indicate that there is a tendency for two hot summers to occur in a row. From the statistics for the region, the following information has been es tahlished
what is effect of packing factor in self compacting concrete?
A truck driver used sand to soak up a 1 g spill of lindane (C6H6Cl6). He placed the contaminated soil in an open drum which then filled with 150 L of water during a rainstorm. You test the water and find a concentration of 17 M/L.
If biodegradable organic matter, oxygen, and microorganisms are placed in a closed bottle, the microorganisms will use the oxygen in the process of oxidizing the organic matter. The bottle may be treated as a batch reactor
A model of a high-rise offiice building at 1/500 scale is tested in a wind tunnel to estimate the pressures and forces on the full-scale structure. The wind-tunnel air speed is 20 m/s at (20 degrees C) and atmospheric pressure.
A coal-fired power plant produces a net electrical output of 500 MW. The composition of the coal burned is C= 72 %, H= 6 %, S= 3.5 %, O= 6 %, N= 1 %, and ash= 12 % by weight. It's heating value (HV) is 30200 kJ/kg. The net thermal efficiency is 36..
A campus has 5000 students. After the Christmas break one student returns carrying a flu virus. Assume that the rate at which the virus spreads is proportional to the number of infected students P(t),
Suppose that the acceleration of the train during the interval time from t=2 to t=4 s is a 2t m/s^2, and at t = 2 s its velocity is v = 180 km/hr. What is the train's velocity at t = 4 s, and what is its displacement (change in position) from t = 2 s..
For a narrow horizontal rectangular beam of width b and depth h (cross section), determine a) what is the vertical shear stress distribution (tau)xy at each point y along the cross section,
A freeway exit ramp has a single lane and consists entirely of a horizontal curve with a central angle of 90 degrees and a length of 628 ft. If the distance cleared from the centerline for sight distance is 19.4 ft
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