Answered: E D 7 ft В -12 ft- -12 ft--12 ft- -12…

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Mechanical Engineering

E D 7 ft В -12 ft- -12 ft--12 ft- -12 ft- a = 6.5 (10-6y°F FIG. P7.17, P7.19

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Determine the vertical deflection at joint B of the truss shown in Fig. P7.17 if members AB and BE are 0.5 in. too short. Use the method of virtual work.

E
D
7 ft
В
-12 ft-
-12 ft--12 ft-
-12 ft-
a = 6.5 (10-6y°F
FIG. P7.17, P7.19

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Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020 (channel with a nominal depth of 10 in., weighing 201b/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88in.2,Ix=78.9in.4, and Iy=2.81in.4. If two of these channels are welded together as shown in Fig. (b), find Ix and Iy for the resulting cross section.