A frame ABC consists of a horizontal beam BC which is supported by a round solid rod AB inclined at a 60° angle, as shown below. The ends of the rod AB are flattened to make the pin connections at A and B. vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with modulus equal to 207 GPa and yield strength of 220 MРа. A (a) Using a factor of safety of 2.5, determine the diameter of the rod АВ. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.3.1P: Column AB has a pin support at A,a roller support at B, and is compressed by an axial load P (see...
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A frame ABC consists of a horizontal
beam BC which is supported by a
round solid rod AB inclined at a 60°
angle, as shown below. The ends of
the rod AB are flattened to make the
pin connections at A and B.
vertical load of 5,000 N is acting at the
mid-length of the beam. The rod
material is a steel with modulus equal
to 207 GPa and yield strength of 220
MPа.
A
(a) Using a factor of safety of 2.5,
determine the diameter of the rod
АВ.
(b) If a clevis joint is used at the pin
connection at B, design the pin
diameter so that it does not fail in
shear. The yield strength of the
pin material is 300 MPa. Use a
factor of safety between 1.5 and
2.5.
5,000 N
3
Transcribed Image Text:12:05 29% A frame ABC consists of a horizontal beam BC which is supported by a round solid rod AB inclined at a 60° angle, as shown below. The ends of the rod AB are flattened to make the pin connections at A and B. vertical load of 5,000 N is acting at the mid-length of the beam. The rod material is a steel with modulus equal to 207 GPa and yield strength of 220 MPа. A (a) Using a factor of safety of 2.5, determine the diameter of the rod АВ. (b) If a clevis joint is used at the pin connection at B, design the pin diameter so that it does not fail in shear. The yield strength of the pin material is 300 MPa. Use a factor of safety between 1.5 and 2.5. 5,000 N 3
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