Question

1- We need to glue two pieces of metal together to form a bar which will be under a state of stress of: = 100 20 MPa 20 in a plane with normal vector along x. If the glued section makes an angle of 120° with x, use Cauchy's law to: a) Find the traction force on the glued surface. (10 points) b) Find the normal stress on the glued surface. (10 points) c) Find the shear stress on the glued surface. (10 points) d) By referring to the table, and assuming all other properties of the glues are the same, choose one glue that best suits to be used in this condition. Use safety factor to explain your selection. (10 points) Glue буу Oy'r' Loox 120° Oxy Prvi Or -Oxx X Table: Shear Strength 15 MPa Type Glue Normal Strength Type 1 120 MPa Type 2 100 MPa Type 3 140 MPa Type 4 150 MPa 50 MPa 45 MPa 10 MPa

Answer 1

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D Given, stress element 100 [ 20) mo mpa. 20 so where, 120 GO [Tx= 100 Ty = so, Exy=20 ]mpa. 2 Normal stress, Tx, Ty' and normal shear stres be tig Ts is Let, normal unit vector be 60° is 53 2 O.S ex Ĉy

=) Now Reen traction is 3 Tx loo 20 Ty 20 SO 0.5 ch) 96.60 ê + 42.36 êy b) Normal stress, TN = T(h) ñ (15.6012)-(42:32 42-3280.5) 104.81 MPa c) Shearing component, so day ² - (ON)?

17h) 1966)2 + (42.36) 105.479 mPa. Ts: d (105.479)² – ( 104.813 11.86 MPa a) Traction force be F, Let be A, then, F = AXTS = F - AC11.86) Cos30 Cosao area - 13.69A d) Type 1, fos is = for normal stren 1.14 120. 104.81 - For shear stress =) 15 11.86 Type 3, fos, o for TN =) 1.264 140 104.8) 1.33 for Isi 1045 a for type 2 3.79 cele 11.86 on look 104.81) 104.81) Fail For type 4 ts (104 11.86) Fail. Among 1 and 3 type 3' is safe