theory of structures Mcqs
101. A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm2), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is_____________?
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A. 30 N

B. 25 N

C. 35 N

D. 40 N

102. A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is________________?
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A. L/d

B. (L/2d)

C. L/2d

D. (L/3d)

103. The force in AD of the truss shown in given figure, is________________?
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A. 3.0t compression

B. 4.0t compression

C. 0.5t tension

D. 0.5t compression
104. In the truss shown in given figure the force in member DC is________________?
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A. 100 t tensile

B. Zero

C. Indeterminate

D. 100 t compressive

105. A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is________________?
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A. 4.5 mm

B. 5.5 mm

C. 5.0 mm

D. 4.0 mm

106. A rectangular column shown in the given figure carries a load P having eccentricities ex and ey along X and Y axes. The stress at any point (x, y) is_______________?
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A. (p/bd) [1 + (ey. y/d) + ( ex. x/d)]

B. p [1 + (6ey. y/b) + (6ex. x/ b)]

C. (p/bd) [1 + (6ey. y/d) + (6ex. x/b)]

D. (p/bd) [1 + (12ey. y/d) + (12ex. x/d)]
107. A simply supported beam carries a varying load from zero at one end and w at the other end. If the length of the beam is a, the shear force will be zero at a distance x from least loaded point where x is_________________?
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A. a/2

B. a

C. a

D. a/3

108. A compound truss may be formed by connecting two simple rigid frames, by_________________?
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A. Three bars intersecting at a point

B. Three bars

C. Three parallel bars

D. Two bars

109. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 106 kg/cm2, the side of the rod, is_________________?
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A. 2 cm

B. 1 cm

C. 1.5 cm

D. 2.5 cm

110. The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is________________?
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A. 2/7

B. 7-Jan

C. 7-Mar

D. 5-Feb

111. The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch)___________________?
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A. 200/EIc

B. 150/EIc

C. 100/EIc

D. 50/EIc

112. The forces acting normally on the cross section of a bar shown in the given figure introduce_______________?
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A. Compressive stress

B. None of these

C. Tensile stress

D. Shear stress

113. The ratio of shear stress and shear strain of an elastic material, is________________?
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A. Modulus of Rigidity

B. Shear Modulus

C. Modulus of Elasticity

D. Both A. and B
114. The forces in the members of simple trusses, may be analysed by________________?
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A. Method of joints

B. All the above

C. Method of sections

D. Graphical method

115. In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is__________________?
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A. L/3

B. L/5

C. L/2

D. L/4

116. The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is__________________?
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A. 1

B. 2-Jan

C. 4-Jan

D. 2
117. Maximum shear stress theory for the failure of a material at the elastic limit, is known________________?
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A. Rankines theory

B. Haigs theory

C. Guests or Trecas theory

D. St. Venants theory

118. The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is_______________?
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A. 3-Jan

B. 2-Jan

C. 2/3

D. 4-Jan

119. A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be________________?
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A. 10 m

B. 12 m

C. 16 m

D. 14 m

120. The horizontal thrust on the ends of a two hinged semicircular arch of radius carrying_________________?
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A. end, is

B. A uniforml 4/3

C. non of these

D. . All the above
121. If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is_________________?
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A. 0.0025

B. 0.001

C. 0.003

D. 0.002

122. In plastic analysis, the shape factor for rectangular section, is________________?
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A. 1.6

B. 1.7

C. 1.4

D. 1.5
123. A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is____________________?
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A. 2M/ T

B. T/M

C. M/T

D. 2T/M

124. Pick up the correct statement from the following ?
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A. If tensile stress is equal to axial stress, the section experiences compressive stress

B. The moment of inertia is calculated about the axis about which bending takes place

C. If tensile stress is less than axial stress, the section experiences compressive stress

D. All the above
125. P=4EI/L is the equation of Eulers crippling load if________________?
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A. Both the ends are fixed

B. Both the ends are hinged

C. One end is fixed and other end is free

D. One end is fixed and other end is hinged

126. If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span__________________?
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A. Horizontal thrust is wl2/8h

B. B.M. will be zero throughout

C. All the above

D. S.F. will be zero throughout

127. A close coil helical spring when subjected to a moment M having its axis along the axis of the helix_________________?
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A. All the above

B. Its mean diameter will decrease

C. Its number of coils will increase

D. It is subjected to pure bending
128. If Ix and Iy are the moments of inertia of a section about X and Y axes, the polar moment of inertia of the section, is_________________?
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A. (IX IY)/2

B. (I /I )

C. (IX + IY)/2

D. IX + IY
129. A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is______________?
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A. 4WD3n/d4N

B. 4WDn/d4N

C. 4WD3n/d4N

D. 4WDn/d4N

130. P = / L is the equation for Eulers crippling load if_________________?
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A. Both the ends are fixed

B. Both the ends are hinged

C. One end is fixed and other end is free

D. One end is fixed and other end is hinged

131. For permissible shear stress fs, the torque transmitted by a thin tube of mean diameter D and wall thickness t, is________________?
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A. ( /2) t fs

B. ( /2) t fs

C. ( /4) fs

D. D2t fs

132. The degree of indeterminacy of the frame in the given figure, is______________?
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A. 1

B. Zero

C. 3

D. 2

133. The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is________________?
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A. 1

B. 4

C. 2

D. 3

134. If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is 17/64 (f /N)s__________________?
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A. 2-Jan

B. 5-Jan

C. 1/4

D. 3-Jan

135. A steel bar 5 m 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poissons ratio is 0.25, the change in the volume of the bar is_________________?
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A. 1.125 cm3

B. 2.125 cm3

C. 4.125 cm2

D. 3.125 cm3
136. For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D. Distances AD, DD and AD when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is___________________?
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A. 60

B. 30

C. 45

D. 90
137. Flat spiral springs_______________?
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A. Are supported at outer end

B. Are wound by applying a torque

C. All the above

D. Consist of uniform thin strips

138. For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is________________?
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A. 0.404

B. 0.707

C. 0.505

D. 0.303

139. At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by_________________?
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A. Maximum tensile stress at the section

B. Maximum compressive stress at the section

C. Depth of the section

D. Depth of the neutral axis
140. Maximum principal stress theory for the failure of a material at elastic point, is known________________?
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A. St. Venants theory

B. Rankines theory

C. Von Mises theory

D. Guests or Trecas theory

141. The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is__________________?
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A. F/A

B. F/2A

C. 3F/2A

D. 2F/3A

142. The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is________________?
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A. 10-Jan

B. 12-Jan

C. 1/16

D. 8-Jan

143. Slenderness ratio of a long column, is_________________?
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A. Radius of gyration divided by area of cross-section

B. Area of cross-section divided by radius of gyration

C. Area of cross-section divided by least radius of gyration

D. Length of column divided by least radius of gyration
144. Gradually applied static loads do not change with time their_______________?
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A. Magnitude

B. Point of application

C. All the above

D. Direction

145. Pick up the correct statement from the following?
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A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres

B. All the above

C. The shear stress is zero at the outer fibres and maximum at the neutral axis

D. The bending stress at the outer fibres, is known as principal stress

146. The force in AC of the truss shown in the given figure, is_________________?
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A. 4t compression

B. 5t compression

C. 4t tension

D. 5t tension

147. The yield moment of a cross section is defined as the moment that will just produce the yield stress in_________________?
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A. The inner most fibre of the section

B. The neutral fibre of the section

C. The outer most fibre of the section

D. The fibre everywhere

148. At yield point of a test piece, the material__________________?
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A. Obeys Hookes law

B. Behaves in an elastic manner

C. Regains its original shape on removal of the load

D. Undergoes plastic deformation
149. A masonry dam (density = 20,000 N/m3) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be_______________________?
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A. 75 N/m2

B. 75000 N/m2

C. 750 N/m 2

D. 7500 N/m 2
150. The degree of indeterminacy of the frame in the given figure, is__________________?
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A. Zero

B. 1

C. 3

D. 2