Derive the correct equation for the critical angle (ϴ1) using Snell’s Law and ϴ2 = 90°. Be sure to show all the steps

Q: a. Determine the force in each member uf the real and the virtual truss shown above. b. What is the…

A: Find reactions:Take moment about Right support:∑ MA=0Cy(3)-100(4)=0Cy=133.33kNTake moment about…

Q: 1. Determine the slope and displacement of point C. El is constant. Use the method of virtual work.

A: Given Simply supported overhang beam and asked to find slope and displacement at point C using…

Q: Determine Delta-B and Teta-B using Double Integration Method and draw the Qualitative Deflected…

A: Force in the vertical direction -  For sum of the moment at the point A- From the equation 1,…

Q: Problem 2. Determine the slope and deflection at point B of te beam shown by the direct integration…

A: Free Body diagram of the given problem:

Q: 15OKN B 5m- Sm 5m E = 70 Gpa 1000X10 9. 4. mm 1.

A: A loaded beam is given and it has been asked to determine slope and deflection at D using virtual…

Q: 2.) What is the horizontal deflection at the bend? w=4,440kN/m If the deflection is leftward it…

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Q: Determine the magnitude (positive value) of the deflection at B. Use E=200GPa and I= 475(106) mm4.…

A: E=200GPa I=475(106) mm4 To find  Deflection at B using double integration method

Q: Using the double

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Q: Problem 1 Resolve the 900-N force into a component P along with AB and a component Q perpendicular…

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Q: Determine the moments of inertia of the rectangular area about the x- and y-axes and find the polar…

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Q: A 3m B√ 3.5m JD 3m 2.By using the Double Integration Method or DIM, Find the deflection at midspan.…

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Q: SOLVE THE MIDSPAN DEFLECTION AND SLOPE AT THE LEFT SUPPORT USING DOUBLE INTEGRATION METHODS.  Show…

A: Given: Required: Midspan deflection and slope at left support

Q: Explain parallel axis theorem. Determine moment of inertia about both the axis for the profile shown…

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Q: Calculate the slope and Deflection at point C. Consider EI as constant and start x from A.

A: Given data  EI = constant  Find slope and deflection at point C.

Q: 2 Using Double integration - Bracket functions, determine the slope and deflection at points and C

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Q: Calculate the slope and the deflection of the beam at A using the Conjugate Beam Method. Assume a…

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Q: B A 1. C

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Q: 50 N 25°

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Q: y P 4 12 5 Q 3.

A: Given Data- P=120N To Find- The magnitude of Q and magnitude of resultant.

Q: Using the theorem castilgliano, calculate the horizontal displacement of point D with Castigliano's…

A: Assigning Pseudo load 'P' at D as shown in diagram, P=0

Q: Determine the deflection at point B for the beam shown using the direct integration method. -6 ft-…

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Q: For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical…

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Q: Draw the deflection curve

A: Given data in question  Beam Point load Internal hinge To find out  Draw deflection curve.

Q: Find the largest and smallest angle changes with their directions at point A, as the unit…

A: total X direction displacement of linesfor aa=+430×10-6 for BB=-260×10-6×cos60=-130×10-6for…

Q: Blocks A has a mass of 35 kg and B has a mass of 20 kg. All contact surfaces have the same…

A: Given, Mass of Block A = 35 Kg ∴Weight of Block A =35×9.81=343.35 N Mass of Block B = 20 Kg ∴Weight…

Q: three decimal p

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Q: 4) Solve the following armature using the virtual work method, taking into account A = 3.2 in2, E =…

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Q: +y B A 20.0° 60.0° +x C The three displacement vectors in the drawing have magnitudes of A-4.75 m. B…

A: Step 1: Step 2: Step 3: Step 4:Step 5:Step 6:Step 7:

Q: 15 k 15 k A В D. 21 - 12"

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Q: Using virtual work and realizing that there is a pin at Cand a roller at B. Use I = 500 in and E =…

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Q: ▪ Derive the following equation of maximum deflection using double integration method. 13. Total W =…

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Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

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Q: Use the moment - area theorems to determine the slope and deflection at B. "El" is constant. 500 lb…

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Q: Determine the sum of the moments created by the forces shown in the accompanying figure about points…

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Q: 1.) What is the vertical deflection 2m from the roller? p=6,215kN Note: If the deflection is…

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Q: find the moment of inertia about the x and y axes.

A: DIRECT INTEGRATION METHOD: Given, y=kx^2

Q: etermine the slope and deflection at point C of the beam shown. Use Area Moment Method. í thet hat…

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Q: A wire makes angles of 35° and 55° at support A and B, respectively, as shown. If the wire has a…

A: Given cable is in parabola .mass density of parabola is 0.5kg/m.  Horizontal angle at support A = 35…

Q: Determine the horizontal displacement at A. Take E =199947.9615 MPa The moment of inertia of each…

A: Horizontal displacement at A

Q: Use the principle of virtual work. 300 N/m 3m 400 N

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Q: 1.2 For the same beam as in problem 1.1, (a) Find the largest value of x-displacement. (b) Find the…

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Q: SOLVE THE MIDSPAN DEFLECTION AND SLOPE AT THE LEFT SUPPORT USING CASTIGLIANO SECOND THEOREM METHOD.…

A: A simply supported beam with loadings as shown. A couple of 7w acting clockwise from the left…

Q: USE DOUBLE INTEGRATION METHOD. From the given determinate beam, which of the following provides the…

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Q: Q#3. Explain parallel axis theorem. Determine moment of inertia about both the axis for the profile…

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Q: Problem 1: Using any method, find the ff. when E = 70 GPa 100x10^6 mm^4 and I Location and magnitude…

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Pricing Excavation and Backfill

Backfill, in construction, is the activity of returning the soil and gravel that are removed during building construction or using them again to toughen and support the foundation of the building or any other structural component.