Determine the smallest cross-sectional area A required for the members of the truss shown in Figure 1, so that the horizontal deflection at joint D does not exceed 10 mm. Use the virtual work method. 50 kN 50 kN 100 kN 4 m 3 m EA = constant E = 70 GPa

Q: 6 kN 6 kN B D. 1,5 m 1,5 m 1,5 m

A: Find the reaction of the beam:

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Q: 60 k 3 k/ft A В C -10 ft- 10 ft- 10 ft- El = constant E = 29,000 ksi I = 4,000 in.4 %3D

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Q: Q 2. Calculate the slope and deflection at the free end of the cantilever beam shown in figure using…

A: Given, E = 2.05×10⁵N/mm² I = 56×10⁸/100 mm⁴ = 56×10⁶ mm⁴ EI = 1.148×10¹³ Nmm²     = 11480 KN m²

Q: 9 kN 4.5 kN/m E= 120 GPa 90 mm 20 mm A В 40 mm 30 mm 1m 1m-

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Q: QUESTION I - TRUSS For the truss shown below, determine the horizontal deflection of joint B by…

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Q: 4000 lb 1600 Ib/ft A C 7 ft- 3 ft-

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Q: Determine the smallest cross sectional area A required for the members of the truss shown in Fig.…

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Q: w = 15 KN/m E I 6m

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Q: For the shown beam, calculate the deflection as well as the slope at point (e). EI is constant. 100…

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Q: 2. Use the virtual work method to determine the horizontal and vertical components of the deflection…

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Q: QUESTION 2 - BEAM [30] For the beam shown below, determine the vertical deflection at point B by…

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Q: For the given beam shown, determine the deflection at midspan and it's free ends. El is constant and…

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Q: Using Maxwell's reciprocal theorem find deflection at point B far a beam shown below. P B C LI4 3LI4

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Q: Use the principle of superposition and the tables of principal values to determine the deflection at…

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Q: 1. Use the virtual work method to determilne the vertical deflection at joint of the truss chown. D…

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Q: For the cantilevered beam shown in the figure below, use the virtual work method to prove that the…

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Q: Question 2 Each member of the truss shown is made of steel and has the cross-sectional area shown.…

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Q: اسم الطالب: الشعبة Q1: Determine the magnitude of the vertical force P that must be applied at the…

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Q: Using the slope-deflection method, determine the member end moments of the beam of the rectangular…

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Q: For the figure shown below, find the deflection at the point (B) and (C)? |= Constant. 100 kN A 2m D

A: Given,  P = 100 kN

Q: constant

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Q: 3. Determine the slope and deflection at point B of the beam shown using the Area- Moment Method.…

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Q: Calculate the deflection at C. The beam has a constant El 150,000 kN.m. You can use the method of…

A: Consider the free body diagram of the given loaded cantilever beam as shown below. Flexural…

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Q: 17 KN/m 6 KN/m + 1m 3 m 4m 1m

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Q: For the beam loaded as shown, use the method of superposition to determine the deflection of the…

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Q: a. Determine the slope and deflection at the free end of the overhanging beam shown below using the…

A: General equation of castigliano's method; ∆(deflection) = ∫0L∂M∂PMEIdx θ(slope) = ∫0L∂M∂MMEIdx…

Q: Use Castigliano's second theorem to determine the deflection at the point B of the cantilever beam…

A: Given data  I = 670 × 106 mm4 E = 300 GPA = 300 × 103 N/mm2

Q: By using Double Integration Method, Determine the deflection at the free end of the beam shown 180…

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Q: Using the Moment Area method, determine the deflection at the right side of t the cantilever beam…

A: P = 60,000lb = 60Klb uniform load between C to D = W Klb/feet E = 29,000ksi I = 4000 in4

Q: determine the deflection at C in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm…

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Q: 5280 N/m 2760 N/m A В IC 4.5 m 3.5 m

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Q: 2.Find the vertical deflection at point C of the rigid frame shown by the virtual work method. By…

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Q: 100 kN 300 kN-m A B C 6 m 3 m 21 I E = constant = 70 GPa I = 500 (106) mm4

A: Please refer the attached image for complete solution.

Q: Use the conjugate beam method to determine the slopes at ends A and D and the deflections at points…

A: To determine the slope at point A and D and the deflection at points B and C using conjugate beam…

Q: Question 2: Use Castigliano's second theorem to determine the vertical and the horizontal components…

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Q: determine the deflection at midspan of the beam in mm using any Geometric Method. Consider 250 mm x…

A: Given data:

Q: Question 1. Determine the vertical deflection under the load and point D of the beam shown in the…

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Q: QUESTION I-TRUSS [40] For the truss shown below, determine the horizontal deflection of joint B by…

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