Question

0-1 The (20 mm) diameter rivets, the plates which are each (100 mm wide A- If the allowable stress are (140 Mpa ) for bearing in the plate material and 80 mpa for shearing of the rivet;Determine the minmum thickneens of each Plate B- under the condition in the point A what is the largest tensile stress in the plat (15 mark) 100 mm φφφ

Answer 1

To determine the minimum thickness of each plate and the largest tensile stress in the plate under given conditions, we need to consider the force and area involved, along with the allowable stress for bearing and shearing.

Step-by-step explanation:

To determine the minimum thickness of each plate, we need to consider the allowable stress for bearing and shearing in the plate material and the rivet. We can calculate the minimum thickness using the formula:

Minimum thickness = (Force)/(Area × Allowable Stress)

= 0.5 * 140 / (140 * 10^-6 * 20)

= 1 mm (approximately).

Shearing stress: We can use the formula for shearing stress to calculate the minimum thickness. The formula is:

Minimum thickness = force / (allowable shearing stress * diameter).

Substituting the values:

Minimum thickness = 0.5 * 140 / (80 * 10^-6 * 20)

= 0.875 mm (approximately).

Under the conditions in point A, the largest tensile stress in the plate can be calculated using the formula:

Largest tensile stress = force / (width * thickness).

Substituting the values:

Largest tensile stress = 0.5 * 140 / (100 * 1) = 0.7 MPa.