Problem 1: Calculate the instantaneous and longtime deflection (time limit of 5 years) of a 40ft span simply supported beam (f'c = 4 ksi, fy = 60 ksi,) W₁ =3k/ft WD =7k/ft ▼ PL=15k ✓ PD = 10k 40" 7777777 24" 2.5" 3-#9 5-#10 20" 20.5"

Q: alculate deflection at the mid span using Double Integration Method

A: Draw the free-body diagram of the beam.

Q: Solve for the slope and deflection of the beam at a distance of 5 ft from the fixed support. 165…

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Q: giv uss shown, eflection [in mm] of the left most joint if AE = 1 x 06 kN.

A: A truss is a structure that has of members organized into attached triangles so that the eventual…

Q: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan…

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Q: What is the maximum deflection of the beam in terms of El? 10 KN/m A. 10 m

A: Given: Uniformly distributed load, w = 10 kN/m Length of beam, L = 10 m

Q: What is the maximum deflection of a cantilever beam with 5 KN load induced at the free end of a 5 m…

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Q: The slope equation between points A and B for this beam will be a function of x to what power?

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Q: For the beam shown, calculate the beam deflection at A. Assume that a = 4.7 ft, b = 7.1 ft, c = 9.4…

A: By method of constant deformationVA1=WL48EI       =950×4.74×12×12×128×550000×103      =0.182…

Q: For the given beam E = 29,000 ksi and I = 300 in4 shown in figure 6. Determine the location of the…

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Q: Determine the design moment strengths of the beams shown in the accompanying illustrations if fy =…

A: Solution:- Area of steel, As=π4×d2     =8×π4×322    =6434 mm2 Depth of neutral axis, by assuming,…

Q: The beam shown in made of a material that has an allowable shear stres tallow -3.5 MPa Determine the…

A: It is required to find the maximum magnitude of P

Q: (a) the beam deflection (b) the beam deflection at point A. at point C.

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Q: For a prismatic beam with fixed-fixed support conditions subjected to uniformly distributed live and…

A: As given in the question we have to determine the value of moment of inertia equivalent according…

Q: Compute the design moment capacity of the pretensioned beam shown below if f c’ = 34MPa, fpy = 1379…

A: The values and diagram given in the question are as follows: f'c=34 MPa fpy=1379 MPa fpu=1551 MPa…

Q: What is the derived formula for deflection at midspan for a simply-supported beam (L) with varying…

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Q: Considering the beam loaded as shown below. Assume El = 50 000 kN m² What is the deflection at C? 0…

A: Given Data  EI = 50,000 KNm2 Find the deflection at C.

Q: 1. From the floor system shown, determine the moment capacity of the beam along column A / row 1-2,…

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Q: Compute the value of El 6 at midspan for the beam loaded as shown in Fig. P-611. If E= 10 GPa, what…

A: From the given question it is required to find the value of Moment of inertia to limit the midspan…

Q: Compute the midspan deflection for the simple beam loaded as shown [a=1m, b = 2m, P = 10kN, w =…

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Q: A given beam, of L=3m and El=6000kN.m², is subjected to a uniformly distributed load (w). The slope…

A: Disclaimer “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: For the beam W360X44 and loading shown, calculate the deflection at point C. E=200GPa G P =150KN…

A: W360×44 section  E = 200 GPa Determine the deflection at point-C.

Q: Practice determining the effective flange width for all the beams. Take the size of all beams to be…

A: Solution: Given beam Dimension: 300mmx500mm bw=300mm For L Beams b= 1/2(6000)=3000mm or…

Q: TOPIC: VIRTUAL WORK Calculate the vertical deflection at the center of the span for the beam l =…

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Q: MA "# V W b V₁ M₂

A: Given   L=a+b  Reactions at support are VA ,VB , MA and MB.

Q: 60 lb/ft Determine the maximum deflection that may occur in the given cantilever beam. Assume that…

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Q: Q.1 Determine the slopes and deflections at B and C of a cantilever beam shown in Fig., by Moment…

A: Given:Required:Slope and deflection at B and C

Q: SITUATION 7: For Items 24-25. 900 lb B 8 ft 24. Determine the location of the maximum deflection for…

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Q: Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution…

A: Given:- EI = 558000 kips-in2 EI = 3875000 lb-ft2 Note:- 1 kip-in2 = 6.944 lb-ft2

Q: Construct the elastic design spectrum (84.1th percentile) for ground motion with PGA = 1g, PGV =…

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Q: How to get the cross section of problem 2.

A: It is required to find the cross section of the given beam as shown in the figure.

Q: Calculate angular frequency of a cantilever beam of span 2.5 m O 74.70 rad/sec O69.87 rad/sec O…

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Q: How much is Ay in the beam shown below? V A L 3m 5 KN/m D 6m 6m O 15 kN upward O 8 kN upward O 30 kN…

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Q: For the beam and loading shown, what is he equation of the DEFLECTION for portion AB of the beam.…

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Q: How would you solve this frame using slope deflection method

A: Given frame analysis with overhang and udl is acting on it. Intensity of UDL=3 k/ft It is asked to…

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

A: Given,  E = 20 x 103 ksi I = 2460 in4 We know,  For a cantilever beam subjected to UDL, the maximum…

Q: 8. The beam has the following data: fy = 275 MPa, fc' = 30 MPa, base = 360 mm, effective depth = 450…

A: Given,  Fy= 275 Mpa fc'= 30MPa Base/width (b) = 360mm Effective depth (d) = 450mm Diameter of bar =…

Q: 6. for the cantilever beam show in fig „determine the rotation at point B using unite load method *…

A: Given point load 60kN at end of cantilever at 5m from fixed end E= 70Gpa I = 600× 106 mm4

Q: For a beam with the cross-section shown (w = 98 mm and h = 128 mm), find the distance from the…

A: Answer  To calculate the centroid location from the bottom surface of the beam we have y =…

Q: Question Two 20kN/m For the beam shown below,determine the deflection At midpoint of span AB 5000 hm…

A: A loaded beam is given and it has been asked to determine deflection at mid span of AB. Please refer…

Q: 2. Calculate the centroid, moment of inertia about the horizontal axis XX (Neutral Axis). Section…

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Q: SITUATION. A 5m steel beam carries a concentrated live load P at the midspan and a uniformly…

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Q: Question No.2: Use conjugate beam method to determine the maximum values of slope and deflection for…

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Q: Solve for the deflection at the middle/midspan of beam (a) below. Assume the beam is 6 k/ft Type…

A: We have to solve question a only as asked.We have to find the  deflection at middle span of beam

Q: Determine the deflection at the free end if EI = 362500Kft² by virtual work method. 15 k/ft 38 ft…

A: Real beam:Virtual beam:

Q: Topic: Conjugate Beam Method Show complete solution and provide illustration or drawing supporting…

A: A simply supported beam, with an overhanging portion of 3 ft is given. 3 ft from the hinged support…

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.