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25 kN

b  b

H1

H2

H3

1. Determine the SFD, BMD, max. deflection, von mises sress of 

the beam shown. Assume E=!! "#a, a=!.$l , l = !!! mm,

w=1%&mm, b=!.'l , (=!.), *1= !.$*, *=!.) *+, *+=1'! mm.

. he structure consists of two ste--ed bars. An axial load

#=1'% is loaded as shown in Fi/ure. ae E=!×

1!$ %&cm.

Determine the followin/

i. %odal dis-lacementsii. Stress in each bar  

iii. 0eaction forces

+. Determine the deflection of each oint, stress in each member and the reaction forces at the base.Bar 1   Steel 200 GPa 250 mm2

Bar 2   Aluminum 85 GPa 500 mm2

Bar 3   Copper  170 GPa 1000 mm2

A

B

C

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b c d

F1F2

12

3

2. Determine the SFD, BMD, max. deflection, von mises sress of 

the beam shown. Assume E=!! "#a for the len/th AB, E=3!

"#a for the len/th B4. (=!.), H=5t, B=4t, t=50 mm. t i sthicness of flan/e and web.

'. Determine the deflection of each oint, stress in each member and thereaction forces at the base., Force F1=.' F and F=!.' F+, F+=1!!!%,

a=!.3'd, b=a, e=!.'d, c=e, d=1 mBar 1   Steel 200 GPa 250 mm2

Bar 2   Aluminum 85 GPa 500 mm2

Bar 3   Copper  170 GPa 1000 mm2

D

H

B

F3

ea

E

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FE

DC

BA

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