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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 5, Problem 71P

Textbook Problem

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5.57 through 5.71 Draw the shear, bending moment, and axial force diagrams and the qualitative deflected shape for the frame shown.

To determine

Plot the shear diagram, bending moment diagram, axial force diagram, and the qualitative deflected shape of the frame.

Write the condition for static instability, determinacy and indeterminacy of plane frames as follows:

Here, number of members is *m*, number of external reactions is *r*, the number of joints is *j*, and the number of elastic hinges is

Find the degree of static indeterminacy (*i*) using the equation;

Refer to the Figure in the question;

The number of members (*m*) is 3.

The number of external reactions (*r*) is 6.

The number of joints (*j*) is 4.

The number of elastic hinges

Substitute the values in Equation (2);

Show the free-body diagram of the entire frame as in Figure 1.

Refer Figure 1,

Consider the section *BCDEFG*:

Take moment about point *B*:

Consider the section *DEFG*:

Take moment about point *D*:

Consider the section *FG*:

Take moment about point *F*:

Solve the Equations (1), (2), and (3) simultaneously.

Consider entire frame:

Find the vertical reaction at point *A* by resolving the vertical component of forces.

Find the moment at point *A* by taking moment about point *A*.

Find the horizontal reaction at point *A* by resolving the horizontal component of forces.

Show the free-body diagram of the members and joints of the entire frame as in Figure 2.

Consider point *A*:

Resolve the vertical component of forces.

Resolve the horizontal component of forces.

Take moment about the point *A*.

Consider the member *AC*:

Resolve the vertical component of forces.

Resolve the horizontal component of forces.

Structural Analysis

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Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...Ch. 5 - Determine the axial forces, shears, and bending...

Ch. 5 - 5.1 through 5.11 Determine the axial forces,...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - 5.55 and 5.56 Classify each of the plane frames...Ch. 5 - 5.55 and 5.56 Classify each of the plane frames...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...

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