FORMULA SHEET

Rectangular cross-section:

Circular cross-section:

√(

)

STATIC DESIGN :

MSST: {

⇒

⇒

⇒

DET:

√ √( )

( )

( )

(

) (spatial)

√

√

(planar)

DCMT: {

⇒

⇒

⇒

BCMT:

,

MMT:

{

⇒

⇒ {

|

|

⇒

|

|

⇒

( )

⇒

FATIGUE DESIGN :

{

Surface factor : Load factor : {

Temperature factor: Reliability factor:

Size factor : For axial load:

For bending :

{

For rotating solid or hollow shaft, , for nonrotating solid or hollow shaft

, for rectangular cross-section , √

( ) ( )

Goodman :

Gerber :

(

)

ASME Elliptic : (

)

(

)

Yield (Langer) :

Combined Load: √(

) (

)

√(

) (

)

WELDED JOINTS :

TORSION :

,

BENDING :

,

, ,

, forged surface, , Table 9-5.

RIVETED OR BOLTED JOINTS IN SHEAR:

,

∑

,

∑( )

POWER SCREWS:

(

)

(

)

Shear stress in body:

Axial stress in body:

Bearing stress:

Bending stress at thread root:

THREADED FASTENERS IN TENSION JOINTS:

, ,

, ( )

Torque that gives preload :

Static load factor of safety :

, is the load at which , i.e.

Separation factor of safety:

, is the load at which , i.e. ( )

Axial fatigue load: included in value, , , :Table 8-16,

Goodman criterium with preload (

) :

( )

Static load factor of safety :

: Table 8-1, , : Table 8-11.