For the given frame below: a) Form the structural stiffness matrix [K] using the general stiffness method and the load vector {Q}. Consider the degrees of freedom indicated below (Note: Eliminate the degree of freedom 3 by using the modified stiffness relation for the member 2-3) b) Calculate the structural displacements [D]. c) Draw the internal force diagrams.

Figure Q1 shows a statically determinate plane truss subjected to a verticalconcentrated load at C and E. The truss is made using steel with Modulus of Elasticity is210 GPa, and the cross section area for all members are 30 mm2. Assuming P is the 10 and a is half of P, determine the vertical displacement at F. Thesolution can be based on Method of Conservation Energy or Method of Virtual Work.

For certain values of w and P, the maximum positive bending moment in the beam is +7044 lb-ft, and the maximum negative bending moment is -8873 lb-ft. The cross section of the beam is shown. The pertinent section properties of the cross section are e = 2.90 in., f = 1.30 in., and I,= 18.3990 in.4. Calculate (a) the maximum tensile bending stress and (b) the maximum compressive bending stress that is produced in the beam. Enter your answers with the appropriate sign. B D b d y

5. The plane truss is loaded as shown in the figure. Determine the stress at member CD and EF. The cross-sectional area of each member = 6 in?. E F 20 ft D 20 ft B A 3 4 80 k 60 k 20 ft 20 ft 20 ft 20 ft

Learning Goal: To solve for forces in statically indeteminate bars with axial loads The square bar shown (Figure 1) is 70 mm thick and 4.8 m long and is fixed supported at both ends. Aload directed leftward s appled at point C, as shown, La =3.02 m from the left end. The modulus of elasticity is E = 100 GPa if point C maves 8 = 0 175 mm to the left what is the applied force? When the number of reaction forces is greater than the number of equilitrium equations, the system is Express your answer with appropriate units to three significant figures. statically indeteminste Solving for the reactions requires some additional equations. These additional View Avallable Hint(s) equations come from considering compatibility relationships (1e, continuity of displacements and relationships berween displacements ana ioads). For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the member…

Q1 Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial displacement, i.e. EA>>) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces in the beam under the applied load. Draw the SFD and BMD. Note that there is a hinge at B. Take E = 200 GPa, IAB = 2000 cm4, IBC = ICD= 1000 cm4. A 20 kN OB |1m|1m 6 kN/m 6 m 2 m 10 kN.m

Please help me with th1s one!

The 2- dimensional truss shown in FIGURE Q2 is made of material that has a modules of elasticity E = 150×10° N/m². The cross sectional area of each member is 0.01 m?. Forces P, and P2 are acting as shown, Wall (e= 40°, P;= 8 kN) 2 (a) (b) 3 409 (c) 30 P1 P= 2kN 4m FIGURE Q2 а. You are required to design TWO (2) different system's fixing type of nodes 2, 3, and 4 to the wall. Then recommend the best option that provides the lowest displacement at node 1 by performing complete calculations to justify your recommendation.

In Figure Q5(e), a statically determinate pin-jointed plane truss is pinned at A and supported on rollers at B. It carries two loads of 5000kg at joints F and G. (i) c) Prove that the plane truss is a statically determinate structure. (ii) Using the method of joint determine all member forces. Using the method of section, determine the member forces of CD and FG. (iii) L= 5m for each member.

From the given figure Solve the following: Let P = 30 Find: Vertical reaction at CHorizontal reaction at CAxial force at member AB