Question

Question -3- 150 mm А E=115 GPa 75 mm B Two rectangular bars bonded together and become composite-beam. The beam is subjected to a specified bending moment M. Determine (a) the vertical distance from C to the centroidal axis. (b) the bending stress produced at A. () the bending stress produced at B. (c) the bending stress produced at C. Use transform section method, transform less stiff material to stiffer material. E=80 GPa 60 mm lo 200 mm Table International Unity Lecturer - Asmaa Abdulmajad

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subject : Mechanic of Materials

Answer 1

Que ② Somm А T E=115Gra 7 mm 1 13 60mm E-80GPG 200mm # Transform loss stift material to stifter material. ma Ela 115 1.4375 Ez &0 > Toons formed section to stifter materic i somm 7 75mm 66.252mm А. L Gamm } = 68.798 mm C 200 1.4375 = 139.12 mm @ vesticla distimee foom poin to centooid cris: - Aiy,+ A2 yi Alt Az 2

from bottom 5 = 1200 x 60 ) X30 + (150X75)* ( 60+ is 1.4375 2 x ) ase AX sterol ") + +(150475) می) 68.748 mm from c point 6 Bending stress at point ® 'I for transtornied section (129-13 12 134601? + (129-12X60)*(68.798-10) + Isoxaspt (150x75 )* ( 97.5-68.748) 12 I. 15037789.56 + 14573559.42 296 11348.98 mm 4 Strees at 6A- mya I

# Assume Assign Boucling maman ! - m (kN/m ) . GA m x 66.252 X106 (29611388.9%) GA = 2.237 m N/mm? Bending stross at point 68 = (mxlo)x 168.749-60) 0.295 m 29611348.98 EB=0.295m N/mm² co Bending stress at poind € - ray JX68-748 ) 29611348.98 50 2.321 m N

* At point B two stress found Put in matorial O 6B=0.25m 6 B : materich ③ (0.295X1.4375) M Ind in 0.424 M At point! stress found in original material that is in material 2 Geamo 1-437582.321)m Go's 3.336 m w/ mm?