fig. 4 fig. 1 - iit bombaynaresh/teaching/ce221/ce221_tute7...fig. 4 5. a t-beam is loaded as shown...
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DEPARTMENT OF CIVIL ENGINEERING, IIT BOMBAY CE 221 Solid Mechanics
Tutorial Sheet = 7 Instructors : A. Laskar/N.K. Chandiramani
1. Three boards, each of 40 mm x 90 mm rectangular cross-section are nailed together to form a beam which is subjected to a vertical shear force of 1 kN. If the spacing between each pair of nails is 60 mm, determine the shearing force in each nail.
Fig. 1 2. A wooden box beam made up of 50 mm
thick boards, has the dimensions shown in Fig. 2. If the beam transmits a shear of 3380 N, what should be the longitudinal spacing of the nails connecting (a) board A with boards B and C, (b) board D with boards B and C. The shear carrying capacity of each nail is 220 N.
Fig. 2 Fig. 3 3. The composite beam shown in Fig. 3 has
been formed by bolting two I sections using 16 mm diameter bolt spaced longitudinally every 150 mm. If the average allowable stress in the bolts is 75 MPa, determine the largest permissible vertical shear. For the I section, A=3790 mm2, depth == 157 mm, and Iz=17.23 x
106 mm4.
4 The three beam section shown in Fig. 4 are subjected to a shear force of 100 kN. Draw the shear stress and shear flow diagram along the depth.
Fig. 4 5. A T-beam is loaded as shown in Fig. 5.
From this beam isolate a segment 200 x 100 x 25 mm (shown by shaded portion). Draw the free body diagram of this segment indicating the location, magnitude and sense of resultant forces due to bending and shear stresses. Check the equilibrium of the isolated segment.
Fig. 5 6. Determine the location of the shear centre
for the sections shown in Fig. 6.
Fig. 6
O
Dimensions in mm
Dimensions in mm
40
40
60 60
60
90
40
B 50
A
50
50
350 mm
250 mm
D
C
20 80
20
20
50
20
20
50
100 80
50
25 150
100 kN
1000 500
200
25200
100
Dimensions in mm
F E
D
C
B A
b
h O
t = constant
e
a
e
t
a
B
A