TEST 8(SOM)SHEAR STRESS IN BEAMS
1. A symmetric I section (with width of flange=50mm thickness of each flange =10mm depth of web=100mm and thickness of web=10mm) of steel is subjected a shear force of 100 KN. Find the magnitude of the shear stress (in N/mm^2) in the web at its junction with the top flange
A) 71.12
B) 65.3
C) 75
D) 79
Ans A
2. In a section shear center is a point through which, if the resultant load passes, the section will not be subjected to any
A) Bending
B) Tension
C) Compression
D) Torsion
Ans D
3. For a given shear force across a symmetric I section the intensity of shear stress is maximum at the
A) Extreme fibres
B) Centroid of the section
C) At the junction of the flange and the web, but on the web
D) At the junction of the flange and the web, but on the flange
Ans B
4. The shear stress at the neutral axis in a beam of triangular section with base of 10mm and height 20mm, subjected to a shear force of 3 KN is
A) 3MPa
B) 6MPa
C) 10MPa
D) 20MPa
Ans C
TEST 9(SOM)TORSION OF CIRCULAR SHAFT
1. A solid circular shaft of diameter d and length L is fixed at one end and free at another end. A torque T applied at the free enf. The shear modulus of the material is G. The angle of twist at the free end is
A) 16TL/ πd^4G
B) 32TL/ πd^4G
C) 64TL/ πd^4G
D) 128TL/ πd^4G
Ans B
2. A long shaft of diameter d is subjected to twisting moment T at its ends. The maximum normal stress acting at its cross section is equal to
A) Zero
B) 16T/ πd^3
C) 32T/ πd^3
D) 64T/ πd^3
Ans A
3. A hollow circular shaft has an outer diameter of 100mm and inner diameter of 50mm. if the allowable shear stress is 125MPs, the maximum torque (in KN-m) that the shaft can resist
A) 26
B) 23
C) 29
D) 20
Ans B
4. A hollow circular shaft has an outer diameter of 100mm and wall thickness of 25mm.. if the allowable shear stress is 125MPs, the maximum torque (in KN-m) that the shaft can resist
A) 46 KN-m
B) 24.5 KN-m
C) 23 KN-m
D) 11.5 KN-m
Ans C
5. The maximum and minimum stresses in a hollow circular shaft of outer diameter 20mm and thickness 2mm, subjected to a torque of 92.7 Nm will be
A) 59MPa and 47.5MPa
B) 100MPa and 80MPa
C) 118MPa and 160MPa
D) 200MPa and 160MPa
Ans B
TEST 10 TO 11(SOM)COLUMN
1. A column of height h with a rectangular cross section of sizea x 2a has a buckling load of P. If the cross section is changed to 0.5a x 3a and its height changed to 1.5h, the bucklin load of the redesigned column will be
A) P/12
B) P/4
C) P/2
D) 3P/4
Ans A
2. Two steel columns P (length L and yield strength=250MPa) and Q (length 2L and yield strength=500MPa) have the same cross sections and end conditions. The ratio of buckling load of column P to that of column Q is
A) 0.5
B) 1.0
C) 2.0
D) 4.0
Ans D
3. Consider the following statements for a compression member
I the elastic critical stress in compression increases with decrease in slenderness ratio
II the effective strength depends on the boundary conditions at its ends
III the elastic critical stress in compression is independent of the slenderness ratio
IV the ratio of the effective length to its radius of gyration is called as slenderness ratio
The TRUE statements are
A) II and III
B) III and IV
C) II, III and IV
D) I, II and IV
Ans D
4. The ratio of the theoretical critical buckling load for a column with fixed ends to the of another column with the same dimensions and material, but with pinned ends, is equal to
A) 0.5
B) 1.0
C) 2.4
D) 4.0
Ans D
5. The effective length of a column of length L fixed against rotation and translation at one end is
A) 0.5L
B) 0.7L
C) 1.414L
D) 2L
Ans D
6. A steel column pinned at both ends, has a buckling load of 200KN. If the column is restrained against lateral movement at its mid height, its buckling load will be
A) 200KN
B) 283KN
C) 400KN
D) 800KN
Ans D
7. When a column is fixed at both end, corresponding eulers criterion load is
A) π^2EI/L^2
B) 2π^2EI/L^2
C) 3π^2EI/L^2
D) 4π^2EI/L^2
Ans D
8. The axial load Carrying capacity of a long column of given material, cross sectional area A, and length L is governed by
A) Strength of material only
B) Its flexural rigidity only
C) Its slenderness ratio only
D) Both flexural rigidity and slenderness ratio
Ans D
9. The kern area (core) of a solid circular section column of diameter, D is a concentric circle of diameter, d equal to
A) D/8
B) D/6
C) D/4
D) D/2
Ans C