1.6 Allowable Stress Allowable Load < Failure Load

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Presentation transcript:

1.6 Allowable Stress Allowable Load < Failure Load Task: Design of safe structural member or mechanical element. Requirement for safe design: Material Testing Allowable Load < Failure Load

Factor of Safety F.S. Factor of Safety : accounts for If the load applied is linearly related to the stress: Factor of Safety : accounts for Unknown natural factors Errors in manufacturing and assembly Errors in load estimation Material weathering

1.7 Design of Simple Connections Typical scenario: Given: allowable stress (shear or normal) and the desired load. Task: find the required thickness of a bolt, rod, or area of support plate etc.

Examples: Given: tension P of a tension member Task: find the required cross-sectional area

Examples: Given: shear force V of a bolt Task: find the required cross-sectional area or diameter of the bolt

Examples: Given: allowable bearing stress of foundation and normal load Task: find the required cross-sectional area of the column base plate

Examples: Given: axial load on rod embedded in concrete Note: The rod is held in the concrete by shear forces on its surface Task: find the required area

Lecture Example: Rods A and B are made of steel having failure stress 510 MPa. Use Factor of Safety 1.75, determine the smallest diameter to support the given load. Beam is assumed to be pin connected at A and C.

Lecture Example: Determine the intensity w of the maximum distributed load that can be supported by the hanger assembly so that an allowable shear stress of 13.5 ksi is not exceeded in the 0.4 in diameter bolts at A and B and an allowable tensile stress of 22 ksi is not exceeded in the 0.5 in diameter rod AB.