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Curved Beam - VTU e-Learning

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Problem no.9<br />

Figure shows a frame of a punching machine and its various dimensions.<br />

Determine the maximum stress in the frame, if it has to resist a force of<br />

85kN<br />

Solution:<br />

Draw the critical section as shown in the<br />

figure.<br />

Inner radius of curved beam ri = 250mm<br />

Outer radius of curved beam ro = 550mm<br />

Radius of neutral axis<br />

rn =<br />

<br />

<br />

<br />

<br />

<br />

ai = 75mm; bi = 300mm; b2 = 75mm; ao = 0; bo = 0<br />

A=a1+a2=75x300+75x225 =39375mm 2<br />

∴ rn =<br />

75<br />

Let AB be the ref. line<br />

550<br />

75<br />

300<br />

250<br />

750 mm<br />

85 kN<br />

b =75mm<br />

2<br />

<br />

<br />

= 333.217mm<br />

<br />

<br />

c o<br />

225 mm<br />

CA<br />

a 2<br />

e<br />

NA<br />

X<br />

c i<br />

a = 75mm<br />

a 1<br />

r =550 mm<br />

o<br />

i<br />

B<br />

b=300mm<br />

i<br />

A<br />

r n<br />

r c<br />

r = 250 mm<br />

i<br />

C L<br />

750<br />

F<br />

F

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