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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.

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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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
Transcribed Image Text: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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