1. Deduce solutions of problems using de Moivre’s Theorem.  2. Test the correctness of a trigonometric identity using de Moivre’s Theorem.

Q: On the profile shown in the figure, two large embankments will be built at an interval of 6 months.…

A: Height of first embankment, H1 = 1m Height of second embankment, H2 = 2mUnit weight of embankment,…

Q: The piece of rubber is originally rectangular. Calculate the average shear strain Yxy at A if the…

A: Given data in question Cross section 400 mm and 300 mmDisplacements 3 mm and 2 mmTo find out Average…

Q: Q: A rectangular Pier of 2.5 mx 2.0m is subjected to a compressive load of 650 kn as shown in figure…

A: Rectangular Pier Size = 2.5m x 2.0 m Compressive load P = 650 KN Eccentricity in x - direction ex =…

Q: Determine the slope and deflection at point C of the beam shown by the direct integration method and…

A: Overhang beam with two point loads    NOTE : The question is solved by direct integration method…

Q: A concrete column and footing is shown in the figure below. It is desired to estimate the required…

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Q: Refer to the figure, what is the vertical component of the reaction at pin B in KN? 0.75 kN/m 1.2…

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Q: ← Flow Between pipes Q.2 A car has a frontal projected area of 1.6 कर m² and travels at 60km/hr. It…

A: Velocity of the car-To Find-The power required to overcome wind resistance in units of kW.

Q: The kitty cat soil series series is composed of 2% organic matter (200 cmolc/kg) and 10% clay. The…

A: Given that The kitty cat soil series series is composed of 2% organic matter (200 cmolc/kg) and 10%…

Q: -Way on a major six-lane flexible pave ghway consists of trucks of type 1 and 2 with equivalency…

A: Given-parameters for truck 1 and truck 2 are given To find-1- Equivalent dingle axle load2- Design…

Q: A steel rod of circular section tapes from 2 cm diameter to 1 cm diameter over a length of 50 cm. If…

A: We have to determine the increase in length

Q: The gusset plate is subjected to the forces of three members as shown in (Eigure 1). The forces are…

A: Consider vertical force equilibrium9 - 6sin - Tsin = 09 - 6* - Tsin = 0Tsin =  5.4 ...equation…

Q: Given: The L8x4x½ shown below is welded to the gusset plate by its long leg. L₁ = 10" and L2 = 7.5".…

A: Section: L8x4x1/2 Gross area,.Ag = 5.80 in2 L1 = 10 in, L2 = 7.5 in Length of the connection = 8.75…

Q: calculate the maximum deflection if EI = 400 000 kNm^2 Note: moment acts 2 m from the free end. USE:…

A: Free body diagram:

Q: A rectangular concrete channel (n = 0.014) has a bottom width of 5.05 m and a longitudinal slope of…

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Q: 9.31 and 9.32 Determine the moment of inertia and the radius of gyration of the shaded area with…

A:

Q: 1- Recording rain gage 2-pan coefficient. 3- thiesson method. curve 5-infiltrometer 4- rating

A: It is a device used to measure the amount of rainfall at a particular location over a given period…

Q: A cantilever beam is loaded with a uniformly distributed load of kips/ft, as shown in Figure below.…

A: Given: Required : Slope at free end

Q: The following data pertain to a wastewater sample: Initial D.O. = 8 mg/l Final D.O.= 2 mg/l Dilution…

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Q: soil with a volume of 163cm^3 is sampled from a field. It weighs 221g. Then, the sample was…

A:

Q: A strip footing 1.5 m wide is located at a depth of 0.75 m (equal to the foundation thickness) in a…

A: Width od strip footing = 1.5m , Depth = 0.75m = Thickness of foundation , Unit weight of sand =…

Q: The structure is pin supported at C and roller supported at A and a 300 N load is applied as shown…

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Q: The bar has a cross-sectional area of 400 m². If it is subjectec o a uniform axial distributed…

A: Whenever a member is loaded, loading occurs at every point. Stress is developed in the section of a…

Q: A DETERMINE THE LOCATION (X) THE VALUE (S) OF MAXIMUM DEFLECTION FOR THE GIVEN BEAM 12KN 10 kN/m] um

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Q: The building below is a broncaptering building Force W1 W2 W3 W4 W5 W6 W7 Wide 0.30 1.20 2.00 0.20…

A: Given;Land DataMass of stone volume (γb ) = 2.2 t/m3Soil volume weight (γ) = 1.62 t/m3Wet soil…

Q: Question- A circular primary clarifier processes an average flow of 3000 m³/d of municipal…

A: The average flow of the circular primary clarifier Q = 3000 m3/d,Overflow rate OFR=25 m3/m2/d,To…

Q: 6m note: Moment acts 1m from the free end. 20 kN/m 6m 700 kN-m 40 kN/r

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Q: Find the deflection equation of the beam of length 1, with distributed uniform load w(x) = w0…

A: Find the deflection equation of the beam

Q: Solve using Method of Consistent Deformation (Inderminate Beam). If it is unsolvable, please explain…

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Q: Please solve this problem.

A: Mass of truck = 4 Mg Mass of trailer= 1 Mg

Q: A lake with a surface area of 275 ha has the values of: relative humidity = 60%  wind velocity at…

A: Given;Surface Area = 275 ha.Relative humidity = 60% Wind velocity at 1m above the ground (u1) = 10…

Q: Determine the flexural capacity of the given section of beam below. b=280 d=420 d'=80 fc'=34 fy=350…

A: To calculate - A) Mu (NSCP 2001)                       B) Mu (NSCP 2015)

Q: Q2 At 20°C, there is a gap A=0.2 mm between the lower end of the bronze bar and the rigid slab…

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Q: Ends A and D of the two solid steel shafts AB and CD are fixed, while ends B and C are connected to…

A: Hi! Thank you for the question As per the honor code, We’ll answer the  questiononly in typed…

Q: Q1: For the following data, calculate the "Stopping Sight Distance" and the "Passing Sight…

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Q: The vertical shear force of 20 KN is applied to the beam of cross section shown.If beam dimension H…

A: Shear force (V) = 20 KN  Determine the shear stress at neutral axis of the section.

Q: An equal-tangent crest curve has been designed for 60 mph to connect grades of 0.5% and -2.1% for a…

A: V=60mph = 60*1.467=88.02fpsG1=0.5%G2=-2.1%H1=3ftH2=1fta=10ft/s2

Q: Check the stability of the retaining wall shown in Figure against overturning and sliding.

A: Weight = unit weight of material * area of portion * 1 m length of wallW1 = weight of rectangular…

Q: The floor system of an apartment building consists of a 4-inch-thick reinforced concrete slab…

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Q: -8m- 40 kN/m B -8m -21- 210 KN 4m- 4m CEDEO

A: The below  Indeterminate and continuous beam as shown with loadings of UDL and concentrated load;

Q: 21-23. The plate shown below is fastened to the fixed member by five 10-mm-diameter rivets. 120 mm…

A: Diameter of rivet = 10 mm

Q: Item 1: Calculate the magnitude of the reactions at the supports.

A: Q##Calculation the magnitude of the reaction at supports using equilibrium ##

Q: 1 THE MASS SPECIFIC GRAVITY OF A FULLY SATURATED SPECIMEN OF A CLAY HAVING A WATER CONTENT OF 30.5%…

A:

Q: Determine the size of a circular concrete pipe (n = 0.013) to carry 150 ft³/s of stormwater on a…

A: The flow rate is given by ;Q = 150 cubic ft /sec n = 0.013S = 0.007d = 3.921 ftRequired size of…

Q: 2 kN. 2 KN 2 kN A E G -4m->> B T 3 m D + 3m F+ H 3m

A:

Q: You are asked to design a horizontal curve for a four-lane road. The road has 12-ft lanes. Due to…

A: The width of the lanes = 12 ftThe number of lanes in the road = 2 lanesThe maximum clearance from…

Q: What is yield strength? 2. What is tensile strength? 3. Explain Deflection of beams in terms of…

A: Yield strength and tensile strength are two important properties to consider in material selection…

Q: How might a brick-and-mortar store implement FBA?

A: Fulfilment By Amazon (FBA) is a service offered by Amazon that allows sellers to store their…

Q: 11-12. A joint is fastened together using two circular bolts. A single plate carries 40 kN load.…

A: Factor of safety =2.5 Allowable shear stress=350MPa Load carried by single plate (V)=40kN

Q: An embedded beam is subjected to the loads shown. Determine the stress produced at points A, B ,C, D…

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Q: The press plungers of a Bramah (hydraulic) press is 40cm² in cross-section and is used to lift a…

A: A press plunger-Area A = 40 cm2= 40x10-4 m2Mass m=800 kgPump plunger area=0.02 m2To Find-The minimum…