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: Please show clear and complete solutions. Box the final answers. 310 lb AB- α 310 lb AC- The…

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

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Q: using

A: Given beam as shown

Q: (a) Calculate the shear equation V (x) and the moment equation M(x) as a function of the length L…

A: To determine:(a) Shear force and bending moment equations(b) Verify V(x)=ddxM(x) and verify the…

Q: 6. A 100 N force acts along 10 points the line AB, as shown in the figure below. Determine the…

A: Consider the given figure  Given data F=100 NL=20 mmB=20 mmL and B are length and breath of the…

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A: a) Draw FBD of the given system:

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A: ANSWER:-

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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: b. C 2EI El B L L

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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…

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Q: A cantilever beam is 4m long with a El = 20MNm^2. It has a point load of P=1kN at the free end and a…

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Q: A beam is subjected to equal bending moments of M2 = 3800 N-m. The cross-sectional dimensions are b…

A: Given Data :

Q: A beam is subjected to equal bending moments of M, = 3600 N-m. The cross-sectional dimensions are…

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Q: P A B C L/2

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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: eam is subjected to equal bending moments of Mz = 3600 N-m. The cross-sectional dimensions are b =…

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Q: The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine…

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Q: in constant Use Consider the beam shown in digue 1) the conjugalo-beam method Suppose that Af-12k-n.…

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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: The

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.