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6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 12, Problem 1P

Textbook Problem

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12.1 through 12.5 Draw the approximate shear and bending moment diagrams for the girders of the frames shown in Figs. P12.1 through P12.5.

FIG. P12.1

To determine

Draw the shear and bending moment diagrams for the girders of given frame.

**Given information:**

The uniformly distributed load acting along the girder *DEF* (*w*) is 30 kN/m.

The horizontal distance of the point *AB* and *BC*

The vertical distance of the members *AD*, *BE*, and *CF*

**Calculation:**

The span length and loads for the two girders of the frame *DE* and *EF* are same; therefore the approximate shear and bending moment diagrams for the girders will also be the same.

Consider the girder *DE*.

Determine the span for the middle portion of the girder using the relation.

Substitute 6 m for *L*.

Determine the span for the two end portion of the girder using the relation.

Substitute 6 m for *L*.

Draw the statically determinate girder portion as in Figure (1).

Consider the equilibrium of the simply supported middle portion of the girder.

Determine the vertical reactions at the end portion using the relation.

Substitute 30 kN/m for *w* and 4.8 m for

Consider the equilibrium conditions of the end portions of the girder.

Consider upward direction is positive and counter clockwise moment is positive.

Determine the support reaction at the left end.

Apply the equations of equilibrium to the left end portion.

Substitute 30 kN/m for *w*, 0.6 m for *V*.

Determine the moment at the left end.

Take moment about left end is equal to zero.

Substitute 30 kN/m for *w*, 0.6 m for *V*.

Consider upward direction is positive and clockwise moment is positive.

Determine the support reaction at the right end.

Apply the equations of equilibrium to the right end portion.

Substitute 30 kN/m for *w*, 0.6 m for *V*.

Determine the moment at the right end.

Take moment about right end is equal to zero.

Substitute 30 kN/m for *w*, 0.6 m for *V*.

Determine the maximum bending moment at the middle of the girder using the relation.

Substitute 30 kN/m for *w* and 4.8 m for

Draw the shear force and bending moment diagram as in Figure (2).

Structural Analysis

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Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - 12.1 through 12.5 Draw the approximate shear and...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...

Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - 12.14 through 12.21 Determine the approximate...Ch. 12 - 12.6 through 12.13 Determine the approximate axial...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...Ch. 12 - Determine the approximate axial forces, shears,...

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