26.23 The moment distribution method in structural analysis can be treated as:
26.24 The method of moment distribution in structural analysis is:
26.25 The strain energy method in structural analysis is based on the minimization of the energy with respect to:
26.26 The minimization of potential energy in structural analysis results in:
26.27 The method of virtual work in the analysis of structures results in:
26.28 The units of flexural stiffness are:
26.29 The extensional stiffness of a member can be defined as:
26.30 The translational stiffness of a member can be defined as:
26.31 The torsional stiffness of a member can be defined as:
26.32 The flexibility of an element can be defined as:
26.33 The symmetrical flexibility matrix in elastic structural analysis is generated in:
26.34 The cross-stiffness coefficients in elastic structural analysis are:
26.35 The stiffness matrix in elastic structural analysis is symmetric in:
26.36 Structural instability is reached due to:
26.37 The kinematic indeterminacy of a structure is associated with:
26.38 The maximum number of external reactions that can be solved by equilibrium considerations in plane trusses is:
26.39 The order of the statical external indeterminacy of a structure is equal to:
where Nₑ =number of external reactions, K=spatial dimensions of the structure, S=special equilibrium conditions associated with the overall structure.
26.40 The order of the statical internal indeterminacy of a truss is equal to:
26.41 The method of joints in the analysis of trusses gives:
26.42 Equilibrium equations at all the joints of a truss in the method of joints gives:
26.43 The Moment of a set of forces passing through a point and which are in equilibrium is:
26.44 The force polygon representing a set of forces in equilibrium is a:
26.45 An ordinate in a funicular polygon represents:
26.46 The member forces in a statically structure indeterminate truss can be obtained by graphic statics: (a) Yes
26.47 The bending moment in a funicular arch is:
(e) Depends on the supports
(d) Depends on the section
26.48 A moving load is:
26.49 The maximum bending moment caused by a set of concentrated moving loads is:
26.50 The influence line diagram gives either a force or deformation:
1) Moment Distribution Method is a Displacement method wherein the stiffness i.e. the load required to displace the member by unit value, is used.
2) Moment Distribution Method is an iterative method wherein for the rigid joints, the values of the moments are taken under rigorous iteration in order to get more precision in the values.
3) As per the Castigliano's Theron, the strain energy is minimalised with respect to that entity, which depends on the entity required to be determined. Here in this method, displacement is needed thus the entity with respect to which the energy is to be minimalised is force.
4) The minimalization of the potential energy provides us with the Compatible deformations, which means it makes it easier to determine the deformations. Here, the potential energy (Resilience) is the function of force and displacement. Thus in order to obtain one entity that is displacement, the effect of the other entity has to be suppressed in the function. Here that entity is force. Thus by minimalization of the potential energy we get compatible deformations.
5) Method of virtual work is similar to the method of strain energy, the only difference is, here there is a unit force applied at the required point and the displacement at the point is determined by considering the behaviour of the beam with unit load only and that with the provided load combinations. Thus this method also provides us with compatible deformations.
6) Flexural stiffness is the moment required for unit rotation. This determines how stiff is the beam for bending.
7) The extensional stiffness is the axial force required for unit elongation or unit extension.
8) The translational stiffness is the Shear force per unit translation.
9) The torsional stiffness is the Torque required for unit twist.
10) The flexibility is the rotation required for unit moment. This determines how flexible is the object for the applied unit load or moment.
From 26.33 to 26.35 have not been answered, because I am not well versed with the concepts of Matrix Methods of Structural Analysis.
11) The instability in the structural is truly attained due to the forces or loads orientation and due to the Geometry of the structure i.e. the way in which members are arranged.
12) The Kinematic indeterminacy is associated with Degrees of Freedom. The kinematic indeterminacy determines the amount of movements are allowed at the particular joint. As in the amount of freedom provided for the movement at the joints. Thus degrees of freedom are nothing but Kinematic Indeterminacy value.
13) Only 3 external reactions can be calculated using the equilibrium conditions on the plane trusses because there are only 3 equilibrium conditions. If there are 3 simultaneous equations then the maximum number of variables that can be determined are 3.
14) For 26.39 answer is (a).
15) For 26.40 answer is (b).
16) Method of joints in trusses is Either Coupled or Uncoupled equations because sometimes it needs individual or independent equations and sometimes it needs more than one equations to solve the variables.
17) The equilibrium equations won't provide the complete solutions always in method of joints. If the number of the unknown member forces is more than 3 then it won't be able to provide the exact solution.
18) The moment of forces passing through a point is zero only with respect to that point, because the value of Moment to be nonzero, there has to be some seperation between the point where the force acts and thatbwith respect to which the moment is taken.
19) The force polygon representing the set of forces in equilibrium always is a closed polygon because may it be any number of forces, the last side of the force polygon always is the resultant of all the forces.
20) The ordinate in a funicular polygon is always the Bending Moment because the funicular polygon represents the shape of the bending moment diagram.
21) The bending moment in a funicular arch is always zero because funicular arch has the shape of the funicular polygon which is exactly same as the Bending Moment diagram.
22) The maximum bending moment due to the set of concentrated loads is always under a load closer to the centroid of the loads.
23). Influence line diagram is always the value of the required entity a section as the unit load moves.
24) Moving load is static load not dynamic load because there is no variation of it in regular intervals or periods.
26.23 The moment distribution method in structural analysis can be treated as: Displacement method Force method...
Question 2: Stiffness Method in Structural Analysis. Calculate the moment at the fixed end support for the 2 span continuous beam structure as shown in Figure Q2 below using stiffness method. (Hint: Use superposition of fixed end and nodal load structure.) The continuous beam is fixed end supported at joint A. It is roller supported at joint B and C A point load of 80 kN is acting on member AB, 6 m from joint A. A uniform load of...
1. The number of equilibrium equations available in 2D is 6. 2. The Method of Sections results in a 2D rigid body equilibrium problem. 3. Indeterminate trusses can only be solved by Method of Joints, not Sections. 4. By definition, truss members must be pin connected & carry only axial load. 5. Shear Force is the first derivative of Bending Moment. 6. Distributed Load is the integral of Shear Force. 7. The maximum Bending Moment is always at the center...
Force method for composite structure: Determine the degree of static indeterminacy for the structure and use the force method to find the forces in the steel rods. Draw the shear and bending moments diagram for the wood flexural member. A= roller support C= pin support Force Method for Composite Structure. Determine the 'Degree of Static Indeterminacy (SI)' for the structure shown in Figure 1 and use the force method to find the forces in the steel rods. Also, draw the...
1. The structure shown below has a special moment resisting moment frame for a lateral force resisting system. It is carrying the load of emergency generator. The soil profile is Site Class D. Based on the USGS map, spectral response acceleration parameters, Ss and S1 are 2.3g and 0.8g respectively. The weight of rigid floor is 15 kips. The emergency generator weighing 35 kips is located on the center of the rigid floor. (20 points) 1) Find the period of...
(can be solve by slope deflection ) Using displacement method of analysis: (a) Draw bending moment diagram; (b) Draw shear force diagram; (c) Draw axial force diagram; (d) Find nodal displacements and rotations at B and D. P=30 kn H=60 KN B EI DI EI E 1 2EI pin fixed 8m
Structural analysis 5. Use the virtual work method using visual integration and only bending deformations to find the indicated deflections/rotations in each structure. Calculate the deflection at point D and the rotation at point B. I 1.46 10'mm and E-200 GPa. (20pts) NMomen, release[60kN 60 kN 5 m 5 m 5 m 5 m
KHW 9: force method Force Method of Analysis: Frames 2 of 5> statically indeterminate. Choosing S and Cy as the redundant forces leads to the superposition shown. The flexibility coefficient Bo relates the deflection at point B to the redundant force at C The compatibility equations are written by requiring the displacements at the redundant locations to be consistent between the real beam and the model formed by the superposition of the statically determinate beams. Part A -Deflection of th...
Question 1: (1.5x7-10.5 marks). Choose the correct answer 1) The simple beam has; a) 1 dof b) 3 dof d) 4 dof c) 2 dof 2) You as a student in Engineering college & IT, attained the course CE 306 a) One time per week. b) Three times per week. c) Two times per week. d) Four times per week 3) One method to analyze the indeterminate structures is a) Moment distribution. b) virtual work. d) Method of section. c)...
Use MAT:AB to code 650:231 M.E. Computational Analysis and Design Finally, give the member force by (see (8) in Project_2_Suppliment) PART A 15 Pts.] Consider the truss given by Fig. 2. The height of the truss is 3 ft. The cross sectional area and Young's modulus of each bar is a-I in, and E-30 Mpsi (106 lb/in2), respectively. The symbol # for the applied load indicates the unit of lb. The truss is supported by a pin at node 6...
Write the MATLAB code and use the function linsolve() to solve the system of linear equations. Thank you! l Truss A truss is a structure that typically consists of 1. All straight members 2. connected together with pin joints 3. connected only at the ends of the members 4. and all external forces (loads&reactions) must be applied only at the joints. The weights of the members may be neglected. The basic building block of a truss is a triangle. Large...