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Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931

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Chapter
Section
BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931
Chapter 8, Problem 45P
Textbook Problem
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Draw the influence lines for the forces in the members identified by an “×” of the trusses shown in Figs. P8.45–P8.52. Live loads are transmitted to the bottom chords of the trusses.

Chapter 8, Problem 45P, Draw the influence lines for the forces in the members identified by an  of the trusses shown in

FIG. PB.45

To determine

Draw the influence lines for the force in member AB, AD, and BD.

Explanation of Solution

Calculation:

Influence line for the force in member AB.

The influence line for the force in member AB is determined by place a 1 kN load successively at the points A, B, and C. The appropriate support reaction is first determined by proportions and then influence line ordinate can be found.

Apply a 1 kN load at A.

Find the vertical reaction (Ay) at A.

Refer Figure 1.

By proportion,

Ay=1kNCy=0

Find the influence line ordinate for the force in member AB at A.

ILA=Cy=0

Similarly calculate the influence ordinate for the force in member AB at different points on the beam and summarize in Table 1.

Apply 1 kN loadSupport reaction (Ay) at A (kN)Support reaction (Cy) at C (kN)Influence line ordinate for the force in member AB (kN/kN)
A100
B0.50.50.5
C010

Sketch the influence line diagram for ordinate for the force in member AB using Table 1 as shown in Figure 2.

Influence line for the force in member AD.

The influence line for the force in member AD is determined by place a 1 kN load at A.

Find the force in the member AD

Sketch the free body diagram at joint A as shown in Figure 3.

Apply force equilibrium along vertical.

Consider upward force as positive and downward force as negative.

ΣFy=0Ay1+FAD(55)=011+FAD(1)=0FAD=0

Thus, the influence ordinate for the force in member AD at A is 0 kN/kN.

Find the influence ordinate for the force in member AD at B.

The influence line for the force in member AD is determined by place a 1 kN load at just right of B.

Find the force in the member AD

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Chapter 8 Solutions

Structural Analysis
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Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical reaction...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - Draw the influence lines for the reaction moments...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - 8.35 and 8.36 Draw the influence lines for the...Ch. 8 - 8.35 and 8.36 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear in panel CD...Ch. 8 - Draw the influence lines for the shear in panel DE...Ch. 8 - Draw the influence lines for the shear in panel BC...Ch. 8 - Draw the influence lines for the shear in panel BC...Ch. 8 - Draw the influence line for the shear in panel CD...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.45 through 8.52 Draw the influence lines for the...Ch. 8 - 8.45 through 8.52 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - Draw the influence line for the vertical...Ch. 8 - 8.59 and 8.60 Draw the influence line for the...Ch. 8 - 8.59 and 8.60 Draw the influence line for the...Ch. 8 - Draw the influence line for the vertical...

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