Use Castigliano's theorem (the least work theorem) to analyze the structure shown. Calculate the bending moment at joint and the shear force through the vertical member immediately below joint2 All members have the same El value and are inextensible. 12 AN/m T 3m da 3m 3m

Q: 1. Using double integration determine the equations of the elastic curve for the beam. Apply…

A: Given data,cantilever beam is given Find using DIM determine equation of elastic curve and solve for…

Q: The beam cross section shown below has been proposed for a short pedestrian bridge. The cross…

A: Given: A beam cross section details subjected to shear force  Required : Shear stress at point H…

Q: Determire the reactiors of the given beam using morment distribution method. w = 25 kN/m, P: = 25…

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Q: 3. A beam is loaded and supported as shown in the figure. The beam has a constant value of EI.…

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Q: What is the lateral deflection at joint E in mm?

A: A truss supported at hinged support at A and roller support at E, is loaded with vertical loading…

Q: Current Attempt in Progress The beam cross section shown below has been proposed for a short…

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Q: The force in member AB of truss joint B shown in figure is given a 15 N B• - 10 N AB

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Q: rods made of aluminum and steel. All connections are pin joints. Determine the maximum force P that…

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Q: 1000 N 1500 N/m A C D В 2 m 2 m

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Q: 1. The horizontal members of the pin-jointed truss are rigid. For all other members the…

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Q: A solid steel shaft supporting an idler pulley in a V-belt drive is subject to a rotating reversing…

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Q: Find the elastic curve of the cantilever beam whose loading condition is given in the figure

A: double integration method -  this method is useful when uniform bending moments equation is…

Q: Generate the stiffness matrix for the frame corresponding to three degrees of freedom 1, 2, 3…

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Q: The beam cross section shown below has been proposed for a short pedestrian bridge.  The cross…

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Q: wL P = 4 w B -6L-

A: Given structure:

Q: Determine the force F at the end of the beam C so that the displacement at C is zero. El is…

A: Given: Displacement at end C is zero Required: Force F

Q: The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; /= 1780…

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Q: Answer fast

A: To solve this problem using the stiffness method, we need to calculate the force in member BC and…

Q: The figure above is a skycam which is supported by 2 wires (assume that no wires holding at the top…

A: This question related to the Strength of material. In this question we calculate the tensile…

Q: Sigma x is 100MPa Sigma y is -60 Mpa Txy is -48 MPa Use Mohr circle to find normal and. Shear…

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Q: There is a beam as shown in the figure below, and the flexural stiffness of the beam section is…

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Q: A beam is subjected to the loading condition shown below. Determine the displacement at A and the…

A: “Since you have asked for multiple methods, we will provide the solution only using the second…

Q: The beam cross section shown below has been proposed for a short pedestrian bridge.  The cross…

A: Given data  Shear force (V) = 225 KN = 225 × 103 N Iz = 325870000 tw = 14mm

Q: The truss shown below is pined at A and has a roller at F. The Load applied at E is P=20 kN. The…

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Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

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Q: 160 mm 480 N 60 mm 80 mm CD = Cx = -795N, left E 150 mm 60 mm 100 mm B.

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Q: P A B C L/2

A: apply 2nd theorem of Mohr's to calculate rotation at A here only unknown parameter at A is rotation…

Q: etermine the shear stress at point K, located at yK = 80 mm below the z centroidal axis.

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Q: Consider the simply supported beam shown below. L= 3m, w= 12kN/m, E= 180GPa, I = 140(10)^6 mm^4.…

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Q: Problem 2. The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. Determine the…

A: Given:- To find:- Length L

Q: From the figure shown below, the length of member AB is 8m and member AC is 5m. If force F is 360N,…

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Q: 1) a. Determine the location of the plastic centroid for the column shown.

A: Given Data:fc=40Mpa.fy=420Mpa.

Q: The cross-sectional dimensions of a beam are shown. Assume by-2.125 in., t-tw-0.375 in. and d-3 in.…

A: Given data  Find  1. Moment about z-axis when bending stress generated at K is 2230 psi (tension).…

Q: In the figure, aluminum [E = 69 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a…

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Q: Use moment area for the beam Find the following: 16K (a) Deflection at C A (b) Rotation at A (c)…

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Q: A symmetrical beam cross section is shown below. The centroid is in the exact centre of the section.…

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Q: Consider the beam as shown in the figure. The maximum shear is found to be 1.5P Ibs. The moment of…

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Q: he beam cross section shown below has been proposed for a short pedestrian bridge.  The cross…

A: Given Data:h=470mmtw=14mmd=120mmt=9.6mmArea of pipe A=3330mm2

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A: LAB=10/cos40°=13.05 ft  LAD=10/cos20∘=10.64 ft ΣFV=0PABcos40∘+PAC+PADcos20∘=10(1000)…

Q: The beam supports the loads as shown in the figure. Using E= 200 GPa, w = 16KN/m, P= 16kN and M=…

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Q: 4. A planar truss that is supported by a rolling pin support at point I and a fixed pin support at…

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Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.