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Academic year Semester Fall
Course Code: MECN001 Course Title: Statics
1120 Date:
P3- A lamina consits of a rectangle AFEC of density 3 kg/m²
Time: 2 hours Full mark:
from which a triangle AGC is removed and replaced by a triangle
of density 2 kg/m². A circular quadrant DAC of density 2 kg/m²
P1- In the frame shown, is added . Find:
bodies ACE and BCD are
connected by an internal
pin at C and by the link 1.8 m
DE. For the loading 40 N.m
shown. Find:
156 N
1.8 m 5.4 m
156 N
REQUIRED A B C D E
13 XG of AFEC before removing 0.9 1.8 4.5 7.2 5.8
REQUIRED A B C D E
14 mass of the lamina 6.1996 12.725 32.629 51.881 42.092
1 mag. of reaction at B 140 41 70 108 186
2 mag. of horizontal reaction at A 5 8 16 12 21 15 XG of the lamina 0.7722 1.5849 6.4617 5.2425 4.064
3 mag. of vertical reaction at A 45 156 78 120 207
16 YG of the lamina 0.1641 0.3369 1.3736 0.8639 1.1144
4 mag. of horizontal reaction at C 93 160 246 320 426
17 Ixx of AFEC before removing 31.493 5.9836 12.282 50.074 40.626
5 mag. of vertical reaction at C 17 30 60 46 80
18 Iyy of the quarter circle 1.2569 2.5799 10.518 8.5336 6.6152
6 mag. of the link DE internal force 204 59 102 157 271 19 Ixx of the lamina 6.2683 12.866 52.455 42.558 32.991
20 Iyy of the lamina 658.34 125.08 256.75 1046.8 849.26
P2- The uniform beam of weight 43 N is subjected to the P4- A 12 -m boom is held
four external loads shown, tan(θ)=4/3 and tan(δ)=5/12. The by a ball-and-socket Z
beam is fixed at point O. If y-axis is vertically upwards, support at C and by two
Find: cables AD and AE. The
boom has a negligible
weight and loaded with a
vertical force at B and
a horizontal force in
26 N
the negative y-direction
71 N.m at G.
Find:
90 N 45 N
REQUIRED A B C D E
REQUIRED A B C D E
7 x-comp of resultant of loads 8 13 26 20 35
21 angle β of AE 44.588 87.937 61.928 100.32 113.33
8 mag. of resultant of loads 16.343 28.178 43.394 74.953 56.356
22 angle α of AD 101.66 200.49 228.73 258.38 141.19
angle of resultant with +ve x-axis x-comp. of reaction at C
9 18.132 31.263 48.145 62.526 83.159 23 3508.9 6920.4 4873.5 7895.1 8918.5
(ccw)
24 y-comp. of reaction at C 985 1943 2216 1368 2503
10 resultant intersects x-axis at x= m 0.241 0.832 0.416 0.641 1.107 25 z-comp. of reaction at C 2216 4371 4986 3078 5633
26 tension in AE 3008.7 4178.8 5933.9 6769.7 7647.2
11 mag. of vertical reaction at O 14 50 25 38 66
27 tension in AD 1777.5 3505.7 2468.8 3999.5 4517.9
12 mag. of reaction moment at O 12.1 41.6 20.8 32 55.3
28 angle between AE and AD 43.617 86.023 60.58 98.139 110.86
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