H G F 6 ft A B D E 6 ft 6 ft - 6 ft 6 ft - 4 k 8 k 12 k
Q: Determine the vertical displacement of joint C. Assume the members are pin connected at their end…
A: REACTION: UPWARD FORCE =DOWNWARD FORCE RA+RB=24 MOMEMT IS EQUAL TO FORCE INTO PERPENDICULAR DISTANCE…
Q: Determine the displacement and slope at C. EI is constant. Use the moment-area theorems.
A: Draw the free-body diagram of the beam. Consider the sum of the moment about point A.…
Q: Determine the displacement at the center B of the beam and the slope at A. EI is constant. Use the…
A: Draw the free-body diagram of the beam. Consider the sum of the moment about point A.…
Q: Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller.…
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Q: Determine the maximum displacement of the beam. Use the moment-area theorems. Take E = 29(10^3) ksi,…
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Q: Determine the internal moments at each joint using Slope-deflection equation method. El is constant.…
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Q: Calculate the slope at the left support. EI = constant
A: Draw the free-body diagram of the beam.
Q: Determine the slope at B and the displacement at C. EI is constant. Use the conjugate-beam method.
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Q: Determine the displacement at point C. Use the principle of virtual work. El is constant. P A В C a…
A: Principle of virtual work: The principle of virtual work states that the total work done on a…
Q: Find the vertical displacement of joint C
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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: Determine the displacement at B. EI is constant. Use the conjugate-beam method.
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Q: differential e quation of the deflection Curve (Neglest self. for The Shown beam-columu, darive and…
A: Given For the beam column the load acting is uniformly distributed load of intensity W kN/m over…
Q: 2. Determine the displacement and slope at C. El is constant. Use the conjugate beam method. Mo В
A: Solution-
Q: PROBLEM # 3: Use the conjugate beam method and determine the slope at B and the displacement at C of…
A: Slope in original beam = Shear Force in conjugate beam Deflection in original beam = Bending Moment…
Q: 9-1. Determine the horizontal displacement of joint C. Assume the members are pin connected at their…
A: 9-2. Let force P is acting at joint C as shown below. Calculate the angle at joint C.…
Q: Determine the slope at A of the Figure shown. EI is constant. Length is in meters. Use E = 200 GPa,…
A: ∑MA=05×8×4 - RB×5 =0RB=32 kN∑V=0RA+RB=5×8RA=8 kN Shear force at C = 0Shear force at just right of B…
Q: 8 m Determine the horizontal 2k displacement of joint D. Assume the members are pin connected at…
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Q: 9.Determine the vertical displacement of joint D. Use the m Accume the members are oin connected at…
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Q: Use the conjugate beam method and determine the slope at B and the displacement at C of the beam.…
A: Given:- A beam is loaded with point loads The magnitude of the point load at mid-span = P The…
Q: Determine the slope ard the displacement at C. El is constant. Use the corjugate-beam method.
A: Due to large number of diagrams in the solution i am giving handwritten solution
Q: Determine the displacem ent and slope at point C. El is constant. Use Castigliano 's Theorem. 12…
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Q: B C Мо EI = Constant A
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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: An overhanging beam ABC is subjected toa couple MA at the free end (see figure). The lengthsof the…
A: Given:- overhanging beam ABC To find:- the angle of rotation θA and deflection δA at end A.
Q: 6 kN/m B C 3 m 3 m
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Q: Use Castigliano's Theorem to determine the reaction force at B and the deflection at A in terms of…
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Q: Determine the slope at A of the Figure shown. EI is constant. Length is in meters. Use E = 200 GPa,…
A: Overhang beam: In physics, a moment is a term that explains for how a physical quantity is…
Q: e for Ay and By
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Q: Problem 2 Determine the horizontal displacement at A. Take E = 29 x 10 ksi. The moment of inertia of…
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Q: Apply Castigliano's theorem to determine horizontal displacement of C. Support A is Fixed. EI =…
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Q: 6 kN/m A B 3 m 3 m
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Q: Determine the vertical displacement of join E is constant. Use the nrincinle of virtual work. olve…
A: A truss structure is there in the question we need to find out the Vertical displacement at joint…
Q: Use the moment-area theorems and determine the displacement at C. Take E = 200 GPa, I= 500(106) mm4.
A: Given:- The magnitude of the point load on the beam = 60 kN The value of modulus of elasticity (E) =…
Q: Problem # 2 Determine the slope and the displacement at C. El is constant. Use the conjugate-beam…
A: The sum of moments of all the forces about Point A is zero. ∑MA=0VB×2a-P×a=0VB=P2 The sum of all the…
Q: 400 lb/ft B. 6 ft 10 ft 45°
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Q: Determine the displacement at B. El is constant. Use the conjugate-beam method. 8 kN 8 kN A B 2 m 2…
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Q: Use the conjugate beam method and determine the slope at B and the displacement at C of the beam.…
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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: Solve the linear system using the Cramer's Rule and Gaussian elimination. -8x + 2z = 1 6y + 4z = 3…
A: -8x + 2z = 1 6y + 4z = 3 12x + 2y = 2
Q: Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional…
A: Solving horizontal reaction at D by taking moment about joint D, we get Vc×2+5×3=0⇒2Vc=-15⇒Vc=-7.5…
Q: Determine the vertical displacement of joint B. AlE is constant. Use the principle of virtual work.…
A: Given data:
Q: -X- L 2
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Q: Determine the vertical displacement at joint C of the truss. Each member has a cross-sectional area…
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Q: PROBLEM # 3: Use the conjugate beam method and determine the slope at B and the displacement at C of…
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Q: 21/ If El is constant, determine equation of the elastic curve, then find the slope at point A and…
A: Given:- Force=35kN=8kip Moment=27kNm=20kip-ft span=6m=20ft 3m=20ft (all values rounded off) To…
Q: Determine the slope and displacement at C. EI is constant.
A: Consider the free body diagram
Q: Determine the slope and displacement at the end C of the beam. El is constant. Use the Double…
A: Answer To determine the slope and deflection at point C using Double Integration method we have…
Q: Determine the vertical displacement of the ring at point B. EI is constant.
A: Consider the figure,
Determine the vertical displacement of joint C.
Assume the members are pin connected at their end points.
AE is constant. Use the Castigliano's Theorem.
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- y=25kN/m P1=24kN P2=7kNA W12 x 79 is used as a column section with an unbraced length of 4.1m. Assume Kx = Ky =1.0.Use Fy = 245 MPa, fc' = 28 MPa. The column is interfaced to a concrete pedestal. E = 200000 MPa. Properties of W12 x 70 A = 14968 mm2 Sx = 1753 x 103 mm3 d = 314.45 mm Sy = 587 x 103 mm3 bf = 306.83 mm rx = 135.64 mm tf = 18.69 mm ry = 77.47 mm tx = 11.94 mm a) Compute the max. Capacity of the column section. b) Design the size of the column base plate. c) Design the thickness of the base plate.A steel beam having a span of 9 m carries a concentrated service live load at the midspan. The beam has fixed support on the left side and a roller on the right side. Bending is about the x-axis. Assume the beam to have continuous lateral supports and a compact section. Neglect the weight of the beam.Prop. of Beam SectionA = 24645 mm2 Zx = 4769 x 10^3 mm^3d = 488.95 mm Sx = 4195 x 10^3 mm^3bf = 283.48 mm Fy = 345 MPatf = 30.48 mm E = 200000 MPatw = 17.02 mm Determine the value of the service concentrated live load P (in KN) based on the shear strength. ø = 1.0 Cv= 1.0 a.1875 b. 1433 c.1231 d.1566 e. 1767
- A beam is built-up from the following A36 plates: 420x20 plates as flanges and 500x20 plate as web. The beam is simply-supported and subjected to concentrated load at midspan. The member is laterally supported at the ends only. Limiting L Values:Lp = 4.762 mLr = 11.810 m Section Properties:A = 27200 mm2Ix = 1 370 026 667 mm4Sx = 5 269 333.333 mm3rx = 224.430 mmIy = 246 960 000 mm4Sy = 1 176 000 mm3ry = 95.286 mmJ = 3 626 666.667 mm4c = 1.0 (doubly symmetric I-shaped member)rts = 110.753 mmho = 520 mm Compute for the ultimate moment capacity (in kN-m) of the beam if it spans 4m. Please answer this asap. For upvote Thank you so muchA beam is built-up from the following A36 plates: 420x20 plates as flanges and 500x20 plate as web. The beam is simply-supported and subjected to concentrated load at midspan. The member is laterally supported at the ends only Limiting L Values:Lp = 4.762 mLr = 11.810 m Section Properties:A = 27200 mm2Ix = 1 370 026 667 mm4Sx = 5 269 333.333 mm3rx = 224.430 mmIy = 246 960 000 mm4Sy = 1 176 000 mm3ry = 95.286 mmJ = 3 626 666.667 mm4c = 1.0 (doubly symmetric I-shaped member)rts = 110.753 mmho = 520 mm Compute for the ultimate moment capacity (in kN-m) of the beam if it spans 10m. Please answer this asap.for upvote.thanksA simple beam having a span of 10 m carries a dead load (including its own weight) of 6.5 kN/m. The beam is continuously braced and A992 steel. Properties: A= 9484 mm2 Ix= 333 x 10^6 mm4 d= 456.95mm Sx= 1457x10^3 bf= 190.37 mm Zx= 1655x10^3 mm3 tf= 14.48 mm What is the allowable shear strength (kN)? tw= 9.02 mm
- The following are the properties of a steel section to be used for a beam section:Fy = 248 MPa Area = 21300Ix = 300000000 Iy = 98800000Sx = 2080000 Sy = 746000d = 289 tw = 19.2tf= 31.8 bf = 265w beam in kN/m = 9laterally unsupported length, Lb = 3 m 1. What is the minimum unsupported length of the beam to be considered long? a. 16.2 m b. 14.5 m c. 13.6 m d. 12.8 m 2. What is the critical depth over thickness ratio set by NSCP? a. 206.68 b. 126.68 c. 106.68 d. 16.68 3. What is the allowable bending stress in the given beam section? a. 148.8 b. 163.68 c. 142.68 d. 124.68 4. If the laterally unsupported length been 10 m, what is the allowable bending stress as per NSCP 2001? a. 148.8 b. 163.68 c. 142.68 d. 124.68A wide flange section is used as beam to support a concrete floor system. The beam is simply supported over a span of 6m. The properties of the section are given as follows:Depth, d = 498mmWeb thickness, tw = 56mmMoment of Inertia about x-axis, Ix = 3417 x 106 mm4Section Modulus about x-axis, Sx = 13730 x 103 mm3Self-weight, wself-weight = 7.32 kN/mAssume the beam is laterally supported over its length with its allowable stress in bending is 0.66Fy and its allowable shear stress is 0.40Fy assuming direct shear stress is used as basis instead of flexural shear stress. The allowable deflection is set at L/360. Use A36 steel with Fy = 250 MPa. (a) Compute for the safe uniform load (w) without exceeding the allowable shear stress. (b) Compute for the safe uniform load (w) without exceeding the allowable bending stress. (c) Compute for the safe uniform load (w) without exceeding the allowable deflection.A W21 x 50 spans 11.0 m on a simple span. The compression flange is laterally supported at the third points. A36 Steel is used. Properties of W21 x 50 section A = 9,484 mm2 bf = 165.9 mm d = 529.1 mm tf = 13.6 mm tw = 9.7 mm Ix = 409.57 x 106mm4 Iy = 10.36 x 106mm4 w = 0.73 kN/m Sx = 1548.58 x 103mm3 Sy = 125.20 x 103mm3 a. Determine the allowable bending stress of this beam. b. Determine the allowable superimposed uniformly distributed load be place on this beam.
- 4. A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. Properties of W 10 x 77 A = 14581 mm2 Lp = 2.799 m d = 269.24 mm Lr = 13.811 m bf = 258.83 mm Lb = 3 m tf = 22.10 mm Fy = 345 MPa tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm3 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using ASD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using ASD.A 3.5m high column consists of W920 X 289.7. It carries an eccentric load of 1000 KN with an eccentric of 100 mm along the y-axis. The column is restrained on both ends. Fy = 248 MPaProperties of W920 X 289.70A=36770 mm² d=927 mm bf=308 mm tf =32 mm tw=19.4 mm Ix=5036.4 (10⁶)Sx=10.88 (10⁶)Iy=156.09 (10⁶)Sy=1.014 (10⁶)K = 0.50Cm = 0.85 1. What is the eccentric moment(Mx) in KN-m? a. 100 b. 150 c. 175 d. 90 2. Which of the following most nearly gives the actual axial stress? a. 37.2 MPa b. 47.2 MPa c. 27.2 MPa d. 57.2 MPa 3. Which of the following gives the value of critical slenderness ratio? a. 16.86 b. 26.86 c. 46.86 d. 36.86 4. What is the ratio of Allowable axial stress to Actual axial stress (fa/Fa)? a. 0.192 b. 0.172 c. 0.182 d. 0.162 5. What is actual bending stress of the column in MPa? a. 8.2…To reinforce a column in an existing structure, two channels are welded to the W 12 x 50 column section as shown in the figure. Effective length of column with respect to each axis is 4.8 m. Kx = Ky = 1.0 Properties of W12 x 50 A = 9484 mm2 rx = 131.57 mm ry = 49.78 mm Ix = 164 x 106 mm4 Iy = 23 x 106 mm4 Fy = 345 MPa d = 309.63 mm Properties of C6 x 13 A = 2471 mm2 Ix = 7.24 x 106 mm4 Iy = 0.44 x 106 mm4 bf = 54.79 mm x = 13.06 mm (centroid from the outer side of the web) a. Determine the critical slenderness ratio. b. Determine the design strength of the column section. (kN in LRFD)