Solve Prob. 9–54 using Castigliano's theorem. 12 k 5 ft 5 ft Be Inc 900 in.* LAB= 600 in. 12 ft IcD - 600 in.

Q: Determine the slope at the left support A (in degrees.). The beam is loaded with a moment load M =…

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Q: vertical bar is loaded with axial loadsat points B, C, and D, as shown in the figure. Thebar is made…

A: To Determine Displacements at points B, C, and D

Q: Determine the displacement of point B of the steel beam, and the slope at the left of point B. E=…

A: E = 200 GPa I=200×106mm4

Q: Determine the maximum displacement of the beam. Use the moment-area theorems. Take E = 29(10^3) ksi,…

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Q: Find the moment of inertia with respect to y-axis the area bounded by a²y = x³, the x-axis, and the…

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Q: 2. Use the method of virtual work. Determine the vertical displacement of joint A (a) if members AB…

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Q: Calculate for the axial force in kN at member CB of the frame shown in figure 2 using Cantilever…

A: Answer  We have two assumptions of cantilever method to find axial force in member CB. 1) Point of…

Q: For the truss shown, compute the vertical displacement at Joint A and the horizontal displacement at…

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Q: Calculate for the axial force in kN at member FE of the frame shown in figure 2 using Cantilever…

A: Area of Column AB, BC and CD = 40 x 106 mm2 = 40 m2Area of Column EF, FG and GH = 60 x 106 mm2 = 60…

Q: use Castigliano's Method for Beams and Frames Determine the slope and the displacement at the end C…

A: Young's Modulus of elasticity (E) = 200 GPa Moment of Inertia (I) = 70 x 106 mm4 E I = 200 x 103 x…

Q: 2 k/ft Br Івс 3 800 in.4 10 ft IAB = 500 in.4 ICD = 500 in. D

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Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

A: Given that, a trapezoidal plate with height = h, Bases = a, 2a, and the weight density constant = δ.…

Q: Determine the slope at A and horizontal displacement at C. Take E= 29 (10^3). The moment of inertia…

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Q: 1. Determine the vertical displacement of section B. The rigidity of AC is 2EI, the rigidity of BC…

A: For determining deflection at point B we will be using the conjugate beam method. In this method…

Q: Determine the height h above the base of the centroid of the cross-sectional area of the beam.…

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Q: The cross sectional area of each member of the truss shown in the figure is A = 500 mm^2 and E = 200…

A: Given- A truss carrying external horizontal load at C. Required- To calculate following by using…

Q: The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine…

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Q: DETERMINE THE VERTICAL DISPLACEMENT OF JOINT A. EACH BAR IS MADE OF STEEL AND HAS A CROSS SECTIONAL…

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Q: Given a 2.7 m, and b = 6.0 m, = y Iy b = a determine the moment of inertia of the area about the…

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Q: 1. Ris the resultant of the four forces A, B, C, and D. Find the magnitude of the angle e and the…

A: To find magnitude of C and angle theta

Q: The beam is loaded as shown. Determine the slope at the left free end. (at point A) in radian. Use…

A: given Data, L= 7m q=20KN/m Note: In the span AB ,the total UDL load is converted into the Point load…

Q: Q2- For the frameshown in the figure determine the total displacement of join A if support C…

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Q: Q3 The board is supported by cables BD and BC as shown. Find the tension force in cables and…

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Q: Virtual Works - Frame Determine the slope at A. Take E = 29(10³) ksi. The moment of inertia of each…

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Q: a 33.8 kN, b 27.2 kN, c-4.8m KN D "KN KN 4m 5m A-40 x 10 mm² A - 60 x 10 mm² C B H K J A-40 x 10³…

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Q: Determine the vertical displacement of joint A. The cross-sectional area of each member is indicated…

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Q: 2. Compute the deflection at midspan and the slope at A in the figure. El is constant. Express the…

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Q: 1.) Deflection at the leftt end of the beam. Use E = 200GPa; 1 = 800 x 106 mm4 Use castigliano's…

A: Given: E=200 GPaI=800×106 mm4. To find: Deflection at left end. Sign convention: Force Left: Upward…

Q: Use the Unit Load Method to co the horizontal displacement AAX of joint A following planar frame.…

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Q: Answer using CASIGLIANO'S THEOREM.  DETERMINE THE VERTICAL DISPLACEMENT OF JOINT A. EACH BAR IS…

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Q: Find the support reactions at joints A and D, then solve for internal forces at the top of member…

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Q: The beam is loaded as shown. Determine the slope at the left free end. (at point A) in radian. Use…

A: ∑MB=0⇒RC (10)=60×15⇒RC=90 KN⇒RB+RC=60+60⇒RB=120-90=30 KN…

Q: Determine the vertical displacement of joint A. The cross-sectional area of each member is indicated…

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Q: 6. Determine the slope and displacement at C. El is constant. Use the conjugate-beam method. 25P-46…

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Q: Determine the slope and the displacement at the end C of the beam. Use the conjugate beam method.…

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Q: The 679-N force is applied to the 114-kg block, which is stationary before the force is applied.…

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Q: The beam is loaded as shown. Determine the slope at the left free end. (at point A) in radian. Use…

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Q: the change in length of member DE due to the applied load. Given: E = 29,000 kips/in.?, area of all…

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Q: 1. Determine the slope at A and the maximum displacement of the beam. Take E = 29(103)ksi, I = 500…

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Q: B. 3m 2 m 2 m 7.91 kN

A: Calculate some value that is require for the calculation of member forces:

Q: Member AB of the truss shown is subjected to a 1,860-lb tensile force. Determine the weight W (in…

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Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.