For the structure shown in Figure P1-1, determine the structural stiffness matrix for the entire structure by using the basic definition of stiffness. 1.1 For the structure shown in Figure P1-1F₂220 in → 15 inMember 1F3Member 210 inMember 3Areas for all members =2 sq. inFigure P1-1(1) Determine the structural stiffness matrix for the entire structure by using the basic defini-tion of stiffness.

Structural stiffness : The rigidity of a structural element is referred to as an element's…

1.1 For the structure shown in Figure P1-1 F₂2 20 in Member 1 F3 15 in Member 2 F4 10 in Member 3 Areas for all members =2 sq. in Figure P1-1 (1) Determine the structural stiffness matrix for the entire structure by using the basic defini- tion of stiffness.

1.1 For the structure shown in Figure P1-1 F₂2 20 in Member 1 F3 15 in Member 2 F4 10 in Member 3 Areas for all members =2 sq. in Figure P1-1 (1) Determine the structural stiffness matrix for the entire structure by using the basic defini- tion of stiffness.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600
Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm
The stresses shown in the figure act at a point on the surface of a structural element. Using Mohr’s circle, determine the following: 1. Calculate the absolute value of the normal stress x at the point in MPa. 2. Calculate the absolute value of the normal stress y at the point in MPa. 3. Calculate the absolute value of the shear stress xy at the point in MPa. 4. Calculate the absolute value of the minor principal stress in MPa. 5. Calculate the absolute value of the major principal stress in MPa. 6. Calculate the absolute value of the maximum shear stress in MPa. Kindly answer all with complete solution please. Needed ASAP
An Eccentric force P is applied as shown in the figure below
The strain components εx, εy and γxy are given in Table 1 for a point in a body subjected to plane strain. Determine the strain components εn, εt and γnt at the point if the n-t axes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle θ shown in Figure P13.6. Sketch the deformed shape of the element under the applied strains,
Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.58 in. and an elastic modulus of 2430 ksi. Bar (2) has a cross-sectional area of 0.714 in and an elastic modulus of 4110 ksi. Assume Ly-18 in., Lz-47in, Q=6,4 kips, P-3.2 kips, and R-128 kips. Determine the horizontal deflection of end Crelative to end A. (1) Answer: uCA in.
Figure Q4 shows a piece of triangular thin plate ABC with thickness 5 mm. A linear pressure as shown in the figure is being applied to edge AB with maximum intensity of 100 kN/m² at the middle of edge AB. The plate is made from stainless steel, with a Young's modulus of 200 GPa and Poisson's ratio of 0.3. The deformations in the plate are to be obtained. For such purposes, the finite element method is being employed. (a) (b) (c) (d) (e) State the type of problem involved in this case (to determine the stiffness matrix to be used). Model this problem optimally using the least number of orthogonal triangular elements only. Label the nodes and elements and indicate clearly the status of all the relevant degrees-of- freedom in this model. Set up the appropriate system of simultaneous equations and solve for the unknown displacements. Displacements at point T. Without any calculation, explain on the value of strain at points S and T.
For the structure shown in Figure P1-1, determine the structural stiffness matrix by combining individual elemental stiffnesses.
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; α = 2.9 × 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; α = 12.5 × 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 56 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
At a point on the free surface of a machine component the strain rosette shown in the figure below
An initially rectangular element of a material is deformed into the shape shown in the figure. Find the: a. Normal strain in the x- direction b. Normal strain in the y- direction c. Total shear strain -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 × 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 × 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 69 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft 07.01 kips 5.63 kips 8.39 kips 9.29 kips 6.66 kips (1) B 3 ft C 8 ft 1.5 ft