In the structure shown below (Figure 3), two forces of equal magnitude (P) are applied along thehorizonal and vertical directions at point C. The beams are connected by pins at A, B and D.The pins A, B and D have diameters of 8 mm, 12 mm, and 14 mm, respectively. The failurestress for all the pins is Tfail=120 MPa and the failure stress for the bars between B-Dis o fail =300 MPa. Assume that the beam ABC does not fail. Find the value of P suchthat the factor of safety (F.S.) for this structure equals 3.8 mm-Top view-200 mm-DBB-180 mm20 mmFront view12 mmCP+P8 mm12 mmBSide view-8 mmD

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Answered: In the structure shown below (Figure…

In the structure shown below (Figure 3), two forces of equal magnitude (P) are applied along the horizonal and vertical directions at point C. The beams are connected by pins at A, B and D.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.4P: A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to...

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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

In the structure shown below (Figure 3), two forces of equal magnitude (P) are applied along the
horizonal and vertical directions at point C. The beams are connected by pins at A, B and D.
The pins A, B and D have diameters of 8 mm, 12 mm, and 14 mm, respectively. The failure
stress for all the pins is Tfail=120 MPa and the failure stress for the bars between B-D
is o fail =300 MPa. Assume that the beam ABC does not fail. Find the value of P such
that the factor of safety (F.S.) for this structure equals 3.
8 mm-
Top view
-200 mm-
D
B
B
-180 mm
20 mm
Front view
12 mm
C
P
+
P
8 mm
12 mm
B
Side view
-8 mm
D

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