FRAMES Computer Program

1.2.0 Thermal Load

Thermal Load is verified by performing an analysis for an example (9-10) taken from the text book written by Professor Yuan-Yu Hsieh, entitled “Elementary Theory of Structures” and published by Prentice-Hall, Inc., Englewood Cliff, New Jersey, 1970 (The same as Figure 1.1 under section External Load). The images of the example 9-10 (p200 thru p202) are shown in Figure 2.1 through Figure 2.3; and, an image of the answer of the example 9-10 (p202) is shown in Figure 2.3. An enlarged section of diagram and answer is shown in Figure 2.4 below. The wording of the exercise is rewritten herewith: " Example 9-10. Analyze the truss in Fig. 9-13(a) subject to rise of 50 degree F at the top chords BC and CD. Assume coefficient of thermal expansion = 0.0000065 in. per in. per 1 degree F; E=30000 kips per in.**2; and L(ft)/A(in.**2)=1 for all members."

Figure 2.4

The output of analysis result can be found and linked from here.

The element Cd in Figure 2.4 (or Fig. 9-13 of the text book) is corresponding to the member 12 in analysis; and, the chord elements BC and CD are corresponding to members 2 and 3, respectively. All the members are having uniform weight of 0.0001 kips per inch in analysis and assumed to be weightless. Other physical properties of the members, such as moment of inertia about x-axis, moment of inertia about z-axis and torsional constant of cross-section about y-axis, are assumed to be unity.

Figure 2.1 Figure 2.2 Figure 2.3