MecMovies 4.0 : M5.5: Rod and Post in Series

scene 11 of 14

The figure shows the free body diagram around flange B. The free body diagram cuts through members 1 and 2. The load on the flange is P which equals 110 kilo newtons directed vertically downwards. The reaction force on member 1 is F subscript 1 directed vertically upwards. The reaction force on member 2 is F subscript 2 directed vertically downwards. The parameters corresponding to member 1 are A subscript 1, L subscript 1 and E subscript 1 and the parameters for member 2 are A subscript 2, L subscript 2 and E subscript 2.

The normal stress in member $(1)$ can be computed as:

$σ_{1} = \frac{F_{1}}{A_{1}} = \frac{27, 500 N}{800 {mm}^{2}}$

$σ_{1} = 34.4 MPa (T)$

and the stress in member $(2)$ :

$σ_{2} = \frac{F_{2}}{A_{2}} = \frac{- 82, 500 N}{1, 600 {mm}^{2}}$

$σ_{2} = 51.6 MPa (C)$