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The winner of lotto prize is given the choice of a one time payment of $1,000,000 or a guaranted$80,000 per year for 20 years. If the value of money is 5%, which option should the winner choose?

A Caesar Company has a capital investment of $67,000 and returns$12,000 per year for 5 years. At a 15% MARR, is this a good investment?

Using virtual work method, find the slope of member BC, vertical and horizontal deflection of joint B.

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A storm sewer is proposed to drain a 24 hectares drainage area shown in the figure below. With given data in the table below, determine x if the design discharge needed to convey 5-year peak discharge is 3.75m3/sec. (i=6270/(t+29))

C <-----------------> D

1Tt=15 min 2

For Site C For site D

Area (ha)=10 Area(ha)=14

C =0.6 C =0.45

Inlet time(min)=9 inlet time= X

Where did you get the t=12 and where did you base it? Why is it 10%? Thank you!

Evaluate the most probable values of angles A, B and C with the condition: A + B.The obscrved values are A= 68°12'36", B=58°01'16"and C= 53*46°12"

A standard HS truck move across a 25 m simple span. The wheel loads are P1 = 142 kN and P2 = 142 kN separated by 7.6 m, and P3 = 36 kN at 4.3 m from P2.

1. Determine the maximum shear in kN.
2. Determine the maximum moment in kN – m under P1.
3. Determine the maximum moment in kN – m under P2.

A standard HS truck move across a 25 m simple span. The wheel loads are P1 = 36 kN and P2 = 142 kN separated by 4.3 m, and P3 = 142 kN at 7.6 m from P2.

1. Determine the maximum shear in kN.
2. Determine the maximum moment in kN – m under P3.
3. Determine the maximum moment in kN – m under P2.

Proof that the maximum deflection on a beam with load not placed at the center = Wa/9√3 *EIL (l²-a²)

what is the significance and use of specific gravity and absorption

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