Calculation of a beam in traction

Calculation of a right beam in Traction

This calculation is done according to the formula:

S \ geq F/S

with the condition

S \ Leq/(n1*n2*n3)

where

S is the acceptable tension in the section of calculation in N/mm ² (example: for the mild steel S = 240 N/mm ²)
F is the force of traction which is exerted on the beam in NR (Newton)
S is the section of the beam where one calculates the tension in mm ²
is the elastic tension Limite materials in N/mm ²
n1 is the safety coefficient (of 1,5 and 3)
N2 is the coefficient of stress concentration which takes account of the abrupt variations of the section at the place of calculation (from 1,5 to 3)
n3 is the coefficient of dynamic overload due to the shock (of 2 to 10: possible calculation if the load falls from a certain height). If the load is applied gradually by released immediate, n3=2.

Calculation of the lengthening of a homogeneous right beam

This calculation is done according to the formula:

$a = \ frac {F \ times L} {S \ times E}$ where

has is the lengthening of the beam in mm
F is the tractive effort on the beam in NR
L is the length of the beam in mm
S is the constant section of the beam in mm ²
E is the Modulus Young (longitudinal modulus of elasticity) of materials in N/mm ² (example: mild steel: E = 215000 N/mm ²

In certain situations, lengthening known and is limited to an imposed maximum value. In this case, the unknown factor is the section (S) of the beam ou/et its composition (E). It is necessary, in this case, to check that the maximum tension is not exceeded.

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