35 kN 4m 35 B 84 kN 4m -- 3m EA = constant E = 200 GPa A = 1,200 mm2

Q: Using Macauley's method, determine the deflection of the member at the locations where the 25 kN, 20…

A: Engineering Design & Analysis 2 50 KN 25 kN Delta Strain 20 KN Gauge 5 kN/m D=100 mm 1 5.75 kNm…

Q: A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.75 in. and a wall thickness…

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Q: Check Deflection condition for the following loading condition of the Steel beam in accordance with…

A: Given data: The uniform distributed imposed load is wi = 5 kN/m. The length of the beam is L = 10…

Q: Q 04: A jib crane consists of a rigid beam BC supported by an elastic rod AB and hinged at C.…

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Q: L=20 m Bmax h= 6 m

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Q: restrained by rigid supports at A and E at room temperature of 20°C. For the system shown determine…

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Q: - A rectangular plate simply supported along its edges and subjected to a uniform of intensity po:…

A: Givenuniform load =Pob=2aw=0.01013

Q: The composite beam loaded with a triangular distributed load, consists of two aluminum alloy beams…

A: The load which is distributed over a certain span on a beam in such a way that its magnitude changes…

Q: Using Castigliano's first theorem, obtain the expressions for (a) the deflection under a single…

A: According to castigliano theorem the deflection at any point is find by differentiating the total…

Q: Using Castigliano’s theorem, determine horizontal and vertical components of deflection at point C.…

A: Given dataP=1000NEA=2×106N

Q: 3. The rigid bar BDE is supported by two links AB and CD. Link AB is made ol steel (E=200 GPa) and…

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Q: A force tangent to 1.75 feet diameter pulley is 5200 N and is mounted on a 2 inches shaft. Determine…

A: NOTE: The value of modulus of rigidity should be G=83×106 kPa. Given: The tangent force on the…

Q: Question 2 A beam ABCD, 6 m long, is simply-supported at the right-hand end D and at a point B1 m…

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Q: Determine the vertical deflection at joint B of the truss shown in Fig. P7.17 if members AB and BE…

A: Consider the free body diagram of the virtual truss as follows: External reactions for the…

Q: Chapter 4: 5. Prove that deflection (8) for a axially loaded member under general Force, P(x) and…

A: ⁷

Q: A 40-lb weight is dropped from a height of h = 2 ft. A 40-lb weight is dropped from a height of h =…

A: Here firstly we convert this problem into a static problem and then calculate the impact  bending…

Q: Using any of the classical methods (Double-Integration or Area-Moment Method), identify the…

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Q: VIRTUAL WORK METHOD For the beam shown, determine the slope and deflection at points F and D. Points…

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Q: Using either Virtual Method or Castigliano Theorem, compute the slope and deflection at point B of…

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Q: 13.12 A straight girder of uniform section and length L rests on supports at the ends, and is…

A: Given: Straight girder with uniform length=L Supports at ends To find: To prove it takes load…

Q: The magnitude of the vertical deflection of the free end is

A: Given data;  Figure shown having following data;Length,l=1.0 m Flexural regidity EI=200 N.m2 Applied…

Q: c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the…

A: In this problem, it is asking about the parts c and d.

Q: The truss shown in Fig. 10.5(a) is to be analyzed to determine its member axial forces and…

A: Let us consider the force acting on the joints of the truss is P.   The free body diagram of the…

Q: Problem 13.9 As illustrated in Fig. 13.43, consider a structure including the horizontal beam AB…

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Q: A plank whose weight is negligible deflects slightly resulting to triangu. maximum intensities, WA…

A: Calculated maximum intensities WA  and WB in N/m .

Q: 10 kN 3 kN/m 100 mm 100 mm 10 mm 10 mm. 200 mm 100 mm А B 10 mm I II 1.5m 1.5m - 2.2m

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Q: 3.7 (A). A 2 m long cantilever is built-in at the right-hand end and carries a load of 40 kN at the…

A: Solution: The cantilever with the given loading is shown in the diagram below Considering the beam…

Q: rigid beam with negligible weight is pinned at one end and attached to two vertical rods. The beam…

A: Givenlength of span L=10ftarea of bronze Ab=4in2young modulus of bronze Eb=12×106psilength of bronze…

Q: A W 14 x 211 beam is connected to a steel girder by 4-25 mm bolts as shown. The bolts are A325 with…

A: the beam is the support that bears the loads upon its cross-sectional area or any point and supports…

Q: 4) If the beam of question 2) is a cantilever of a W18 x 130 steel wide-flange with the support at…

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Q: 8.5 and 8.6: Use the virtual work method to determine the horizontal deflection at point C of the…

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Q: P Ib w lb/ft w lb/ft B. - 6 ft- - 6 ft- 4 ft-

A: We calculate reaction at A and B first Sum of all forces in Y axis = 0 RA + RB -6 -6 -4= 0 RA + RB =…

Q: * Given the FLEXURAL RIGIDITY of the beam shown=6000 KN.m^2, find the deflection :at the roller…

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Q: Problem 14.2. Determine the maximum deflection of the cantilevered beam. The beam is made of…

A: Given:-

Q: Q4) Determine the slope at point A and the deflection at point C. (E = 200 Gpa). 3 kN 8 kN/m В D 30…

A: Draw the free body diagram of the beam. Apply static equilibrium conditions to calculate the…

Q: (Situation no. 2) For the beam supporting the loads shown with E= 200000 Mpa and I=1x10^8 mm^4. (4)…

A: Given data, Young's modulus, E = 2×105 MPa = 2×105×106 Pa Moment of inertia, I =  1×108 mm4 =…

Q: 2. Determine deflection at B. [E= 200 GPa, l= 129 x 10 mm, L= 4m, P = 60 kN, w = 40 kN/m]

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Q: Problem 4 The overhanging steel beam ABC carries a concentrated load P at end C. For portion AB of…

A: Calculate the support reaction of the beam as follows –

Q: The beam shown is made from 6 × 6 × 1/4 inch rectangular steel structural tubing. If load P = 650 lb…

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Q: The composite beam loaded with a triangular distributed load , consists of two aluminum alloy beams…

A: A cantilever beam is a type of beam in which one end is rigidly supported to the foundation while…

Q: A concentrated load Q= 94.18N is applied to the rigid cantilever frame as shown in fig. The vertical…

A: Given, Concentrated load, Q=94.18 N EI=3×108 N.m2

Q: 11B. Using the slope deflection method, determine the end moments of the given frame. 75KN EI = 2.00…

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Q: Exercise: Using the virtual work method. Find the deflection at point C. E= 200 Gpa, I=70x10°mm 50…

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Q: Determine the longitudinal stiffness of the bar shown below:

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Q: Example 11.8: A three hinged arch of span 16 m has its abutments A and B at depth of 4 m and 8 m…

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Q: Bronze [E= 100 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of…

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.