The member is to be made from a steel plate that is 0.25 in....

The member is to be made from a steel plate that is 0.25 in. thick. If a 1 -in. hole is drilled through its center, determine the approximate width $w$ of the plate so that it can support an axial force of 3350 lb. The allowable stress is $\sigma_{\text {allow }}=22 \mathrm{ksi}$

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Key Concepts

Axial Stress

Axial stress is the internal force per unit area that develops in a member when an axial load is applied. It is calculated by dividing the applied load by the effective cross-sectional area through which the load is transmitted. This concept is critical in ensuring that the stress in a structural member does not exceed the material’s capacity.

Net Cross?Sectional Area

Net cross?sectional area refers to the effective area of a structural member after accounting for any openings, such as holes, that reduce the area available to resist loads. When a hole is present, the area removed must be subtracted from the total cross-sectional area, and this reduced area is used in stress calculations to ensure safety and performance.

Allowable Stress

Allowable stress is the maximum stress that a material can safely withstand under a given set of conditions. It is determined based on the material's yield strength or other strength criteria, often reduced by safety factors. In design, ensuring that the applied stress does not exceed the allowable stress is crucial for structural integrity and safety.

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