A 35 ft simply supported beam is loaded with concentrated loads 15 ft in from each support. On one end, the dead load is 8.0 kips and the live load is 18.0 kips. At the other end, the dead load is 4.0 kips and the live load is 9.0 kips. Include the self-weight of the beam in the design. Lateral supports are provided at the supports and the load points. Determine the least-weight W-shape to carry the load. Use A992 steel and Cb =1.0. Design by (a) LRFD and (b) ASD. [6.16-34]

A vertical vessel with an internal diameter of 84” has a hemispherical head at the top and an ellipsoidal head of 2:1 at the bottom. The construction material has a maximum allowable stress of 8700 psi at its design temperature. The operating pressure is stated as 48 psig. The overall height of the vessel is 38‟ and a joint efficiency of 1.0 is used.

) Determine the wall thickness of each part of the vessel.

b) If a corrosion allowance of 2 mm is being fixed by the user, determine the wall thicknesses and part MAWPs for each part of the vessel and what is the vessel MAWP?

A 10-cm-long thin glass rod uniformly charged to 15.0 nC and a 10-cm-long thin plastic rod uniformly charged to - 15.0 nC are placed side by side, 4.40 cm apart. What are the electric field strengths E1 to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line connecting the midpoints of the two rods?

Specify the electric field strength E1

Specify the electric field strength E2

Specify the electric field strength E3

Bass - Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 1.9 pounds and a standard deviation of 0.8 pounds.

(a) If you catch 3 random bass from Clear Lake, find the probability that the mean weight is less than 1.0 pound. Round your answer to 4 decimal places.


(b) If you catch 3 random bass from Clear Lake, find the probability that the mean weight it is more than 3 pounds. Round your answer to 4 decimal places.

You have a concentration cell in which the cathode has a silver electrode with 0.10 M Ag+. The anode also has a silver electrode with Ag+ (aq), 0.050 M S2O3^2-, and 1.0 x 10^-3 M Ag (S2O3)2^3-. You read the voltage to be 0.76 V

a. Calculate the concentration of Ag+ at the anode.
b. Determine the value of the equilibrium constant for the formation of Ag(S2O3)2 ^3-.

Ag+ (aq) + 2S2O3 ^2- (aq) --> Ag(S2O3)2 ^3- (aq) K=?

2 NOCl(g) <=> 2 NO(g) + Cl2(g), K= 1.6E-5. Calculate the concentrations when:

a). 6.0 mol of NO and 2.0 mol of Cl2 in a 1.2-L flask

b).  2.2 mol of NOCl, 2.2 mol of NO, and 1.1 mol of Cl₂ in a 1.0-L flask

c).  1.01 mol/L concentration of all three gases

Please show work and don't just solve the top problem. I need all three and I don't know how to correctly solve either of them!!

2. Find the optimal allocation of demand to production facilities for the data given in the following table. (Hint: Use the model for allocating demand to existing facilities. First, formulate the problem and then use Excel Solver to find the optimal results.)

Find the electric field (magnitude and direction) for the following situations:

A) At a point 1.0x10-3 m away from a 5.00 pC charge. (4.5x104 N/C, away)

B) Halfway between a 6.0 ?C and a -8.0 ?C charge, which are 10.0 m apart. (5040 N/C towards -8 ?C*)

C) 1.0 m from the end of a 3.5 m long uniformly charged rod, which has a 4.0 nC net charge. (8.00 N/C away from rod)

1.)A student prepares a potassium dichromate solution by dissolving .5263 gram of dry solid potassium dichromate in enough water to make 1000.mL of solution. What is the concentration of dichromate ions in the resulting solution?

2)A student measures 10.00 mL of an unknown solution of Fe2+ into an Erlenmeyer flask and dilutes with 90 mL of 1.0 M hydrochloric acid. She then titrates this sample with the solution prepared in question#1 .If 29.50 mL of the potassium dichromate solution is needed to reach the endpoint, what is the concentration of Fe2+ in the original unknown solution.