1.
Compute the Shear force and bending moment diagrams for the beam shown and find the maximum deflection. Assume rectangular c/s area of 0.2 m * 0.3 m !oung"s modulus of 210 #$a $oisson"s ratio 0.2%.
2. Consider the four bar truss shown in figure. &or the gi'en data find Stress in each element (eaction forces )odal displacement. E = 210 GPa, A = 0.1 m2.
3. *etermine the nodal deflections reaction forces and stress for the truss s+stem shown below ,- . 200#$a A . 32/0mm20.
1. 2n the plate with a hole under plane stress find deformed shape of the hole and determine the maximum stress distribution along A34 ,+ou ma+ use t . 1 mm0. - . %0 #$a t . 1 mm $oisson"s ratio . 0.3 *ia of the circle . 10 mm.
/. 2n the plate with a hole under plane stress find deformed shape of the hole and determine the maximum stress distribution along A34 ,+ou ma+ use t . 1 mm0. - . 210#$a t . 1 mm $oisson"s ratio . 0.3 *ia of the circle . 10 mm.
5. 6he truss is fixed in the left wall and the load of 10 000 ) is e7uall+ distributed on the two upper right 8oints. 2t is made of wood with !oung"s modulus 15 #$a ,parallel to fibers0 and cross sectional area 2/ cm2. *etermine the nodal deflections reaction forces and stresses.
%. Consider the 33* truss structure shown in &ig. Cross sectional area of all the lin9s are A.1./5e33m2. :aterial is Aluminum -.%/#$a. 6he structure is fixed in x + and ; direction at the bottom three corner. 6he loading is as shown in the &ig. ,a0 *etermine deflection at each 8oint ,b0 *etermine stress in each member and , c 0 *etermine reaction forces at the base.
<. *etermine transient response of mass 2 of the s+stem shown in &ig. #i'en mass.10=g> =.100 and damping coefficient.20> $. 10)
?. *etermine temperature distribution in the triangular fine shown in &ig. with constant base temperature of 100 0C> h . <0 @/m2=> t . 0.01m> A . 0.02/ m> = . 1%3 @/m=
10. A semi3infinite plane is held at 0B C. Suddenl+ contact with a fluid with 1000C and h . /0 @/m2=. *etermine the heat distribution in the plane after 2 Seconds. :aterial and geometric properties are gi'en below.
11. *etermine the 'ibration responses of the brac9et shown in figure ta9e - . 200#$a $oisson"s ratio . 0.2% densit+ .% <00 9g/m3
12. *etermine the 'ibration responses of the wor9 table show in &ig. -nter densit+ . 11/> -x.1e10
13. *etermine the nodal deflections reaction forces and stress for the truss s+stem shown below ,- . 200#$a A . 32/0mm20.
6 7 8
3m
1 2 3 4 5
F=125 N
F=100 N
3m
3m
3m
3m
11. Compute the Shear force and bending moment diagrams for the beam shown and find the maximum deflection. Assume circular c/s radius of 0.3m !oung"s modulus of 1/ #$a $oisson"s ratio 0.2%.
1/. Compute the Shear force and bending moment diagrams for the beam shown and find the maximum deflection. Assume rectangular c/s area of 0.2 m * 0.3 m !oung"s modulus of 210 #$a $oisson"s ratio 0.2%.
16. A circular plate with a clamped edge is allowed to 'ibrate freel+. *etermine the natural
fre7uencies fi 8 for the first three modes of 'ibration. 6a9e - . 30 x 105 psi C . 0.3 D . .000%3 lb3sec2/in4, a.1%in t.0./in.
