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The maximum perpendicular load that a typical exterior wall stud can tolerate depends on various factors such as the stud's material, dimensions, and spacing.

For a standard wooden wall stud, which is commonly used in residential construction, the load-bearing capacity can vary. However, a typical rule of thumb is that a 2x4 stud (actual dimensions 1.5 inches by 3.5 inches) spaced at 16 inches on center can support a vertical load of approximately 600-800 pounds. This assumes the load is evenly distributed along the length of the stud.

It's important to note that this is a general estimate and not a precise value. The load-bearing capacity can be affected by other factors like the species and grade of the wood, the presence of any defects or knots, and the overall design and structural support of the wall system.

If you have specific load requirements or concerns, it is advisable to consult a structural engineer or building professional who can provide a more accurate assessment based on your specific circumstances.

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