area =
pi x (502 - 302)/4 = 1256.64 mm2
stress =
80N / 1256.64mm2 = 0.06366 N/mm2
The Barlow formula is a simplification of Lame's formula for thin walled pipes/ cylinders. The book by AP Moser (Buried Pipe Design) gives the derivation and arrives at S = PD/2t where D is infact the average diameter. This makes sense if you consider that there is a stress profile across the pipe wall with highest stress at the inside edge. So the average stress occurs in the material at the centre (ie. Do - t). The above book has a couple of good sketches illustrating this. Outer diameter is however quoted in the Barlow equation in some contexts - for example in ASME 31.8. This is apparently a simplification (infact nominal outside diameter is used which is actually a bit smaller than the real outer diameter). If using the formula to calculate wall thickness the answer will be slightly conservative but then you will generally look up a standard wall thickness (eg. from the table in ANSI B36.10) so you will likely arrive at the same answer anyway.
p = 2 * S * t / D where S is the stress, t the wall thickness, and D the diameter.
You can calculate the combined effect of bending and torsional stress on a rotating pipe using the outside diameter. The angle of rotation and the shearing stress should also be considered.
You can use it outside but it will put more stress on the equipment when it is done so.
The minimum diameter of the brass wire can be calculated using the formula for tensile stress: stress = Force / (pi * radius^2). Rearranging the formula to solve for the radius, we get radius = sqrt(Force / (stress * pi)). Plugging in the values, with force = 280 N and stress for brass = 110 x 10^6 N/m^2, we find that the minimum radius of the wire should be approximately 2.35 mm. Therefore, the minimum diameter required would be twice the radius, which is about 4.7 mm.
The second syllable of diameter is stressed.
Hoop stress is just nothing but stress which can be acted upon circumferentialy formed material, where as subjected to internal & external pressure. Formula is (internal pressure*outside dia of cylinder)/internal dia of cylinder If innternal pr goes beyond 80mpa, this presuure vessel is in safer side
Diameter x Thickness
The stress on a bolt under longitudinal force is the total force on the bolt divided by the stress area. The stress area is a little bigger than the minor diameter area, calculated from the average of the minor diameter and pitch diameter. The total force on the bolt is its torque preload plus the (bolt stiffness/(bolt +member stiffness) x (externally applied load )
The formula for calculating strain is: Strain Change in length / Original length. The formula for calculating stress is: Stress Force applied / Cross-sectional area.
The true stress formula is: True Stress Load / Area The true strain formula is: True Strain ln(Length after deformation / Original Length)
x mcq