This is the Multiples Choice Questions Part 5 of the Series in Strength of Materials as one of the General Engineering and Applied Sciences (GEAS) topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS) field.

### Online Questions and Answers in Strength of Materials Series

Following is the list of multiple choice questions in this brand new series:

**Strength of Materials MCQs**

PART 1: **MCQs from Number 1 – 50** Answer key: **PART I**
PART 2: **MCQs from Number 51 – 100** Answer key: **PART II**

PART 3: **MCQs from Number 101 – 150** Answer key: **PART III**

### Continue Practice Exam Test Questions Part V of the Series

201. Poisson’s ratio is the ratio of the

- A. Unit lateral deformation to the unit longitudinal deformation
- B. Unit stress to unit strain
- C. Elastic limit to portion limit
- D. Shear strain to compressive strain

202. Large deformation of a structural member bending out of line because of large and critical loads:

- A. Buckle
- B. Instability
- C. Plastic deformation
- D. All of the above

203. A propped cantilever beam (a beam fixed at one end and simple supported at the other end) is subject to a uniform load of 10 kN/m and a concentrated load of 40 kN at midspan. Determine the reaction at the simple support if the span is 10 m.

- A. 50 kn.
- B. 60 kn
- C. 70 kn
- D. 80 kn

204. A truck is moving along 20 m. Span of beam. The front axle load is 8 kN, the middle load is spaced at 3 m from the front and 6 m from the rear. Determine the max. Moment produced by the load.

- A. 142.62 kn.m
- B. 153.54 kn.m
- C. 141.62 kn.m
- D. 234.45 kn.m

205. A tee section is made up of a 30 x 150 mm flange and a 30 mm x mm web. The neutral axis above the lowest fibers of the section is :

- A. 155 mm
- B. 35 mm
- C. 160 mm
- D. None of the above

206. The sum of all forces in the orthogonal directions and sum of all moments about any point are zero:

- A. Buckling load
- B. Compatibility
- C. Equilibrium
- D. Stability

207. A mild steel column is hollow and circular in cross section with an external diameter of 350 mm and internal diameter of 300 mm. It carries a compressive load of 200 KN. The shortening of the column if its initial height is 5 m and E = 200000 n/mm^{2}.

- A. 78.4 n/mm
^{2}
- B. -0.00039
- C. 1.95 mm
- D. None on the list

208. Find the constant of 81 hp in a 3 inches cold rolled line shafting which transmitted 210 RMP.

- A. 900
- B. 600
- C. 800
- D. 500

209. A steel wire 10 m. long , hanging vertically supports a tensile load of 1000 N. Neglecting the weight of the wire, determine the required diameter if the elongation is not to exceed 2.5 mm. Assume E = 200 GPa.

- A. 5.046 mm.
- B. 3.596 mm.
- C. 4.297 mm.
- D. 6.382 mm.

210. The ratio of the lateral expansion to the longitudinal shortening of a concrete cylinder when subjected to compressive load.

- A. Modulus of elasticity
- B. Poisson’s ratio
- C. Modulus of rupture
- D. None of the above

211. The moment of inertia of any plane figure can be expressed in units of length to the:

- A. First power
- B. Second power
- C. Third power
- D. Fourth power

212. The moment of inertia about the principal x – x-axis of a cross section is:

- A. The integral of y
^{2}Da
- B. The integral of xda
- C. The integral of x
^{2}Da
- D. The integral of xyda

213. The stress in an elastic material is:

- A. Inversely proportional to the materials yield strength
- B. Inversely proportional to the force acting
- C. Proportional to the displacement
- D. Inversely proportional to the strain

214. Principal stresses occur on those planes:

- A. Where the shearing stress is zero
- B. Which are 45° Apart
- C. Where the shearing stress in minimum
- D. Which are subjected to pure tension

215. Poisson’s ratio is the ratio of the:

- A. Unit lateral deformation to the unit longitudinal deformation
- B. Unit stress to unit strain
- C. Elastic limit to proportional limit
- D. Shear to compressive strain

216. 66. A mild steel column is hollow and circular in cross section with an external diameter of 350 mm and internal diameter of 300 mm. It carries a compressive load of 200 KN. The shortening of the column if its initial height is 5 m and E = 200000 N/mm^{2}.

- A. 19.60 mm.
- B. 19.60 cm
- C. 19.30 in.
- D. None in the list

217. A t-beam made up of a flange and a web, from 2 plates 20 x 200 mm joined together to from a T, is subjected to a tensile force P whose line of the flange of the T section. The centroid of the flange of the T section. The centroid is 65 mm from the tip, the moment of inertia is 37.7 x 10^{6} mm. The maximum normal stress is limited to 150 n/mm^{2}.

- A. 5000000 N
- B. None in the list
- C. 14252136546n
- D. 681816 N

218. A bar of metal 2 mm in diameter is tested on a length of 250 mm. In tension the following result were recorded:

Load KN 10.4 31.2

Extension mm 0.036 0.089

The young modulus E is nearly:

- A. 80700n/mm
^{2}
- B. 2154465n/mm
^{2}
- C. 21654024n/mm
^{2 }
- D. None in the list

Answer: d.

219. A beam has the cross section 300 mm by 900mm. It is subjected to a normal tensile force P whose line of action passes 100 mm above the centrion. Calculate the maximum allowable value of P if the maximum direct stress is limited to ±150 N/mm^{2}.

- A. 2451354 KN
- B. 21648 KN
- C. 10224 KN
- D. 21300 KN

220. The stress flow, Q of a beam 0.25 m x 50 m in section that is subjected to a shear of 95 KN is:

- A. 526 KN
- B. None in the list
- C. 258 kn/m
- D. 285 kn/m

221. The inertia portion of the stress-strain diagram of a steel is known as the:

- A. Elastic range
- B. Strain hardening
- C. Plastic range
- D. Modulus of elongation

222. If a member is not restrained against sway, and has hinged ends, and the critical load is reached, this member will buckle laterally turning into the shape of;

- A. S-curve
- B. Full sine wave
- C. Half sine wave
- D. Not in the list

223. To determine the required section modulus S, the minimum M max should be:

- A. Multiplied by the maximum allowable bending stress
- B. Divided by the maximum allowable bending stress
- C. None in the list
- D. Divided by the modulus of elasticity e and moment of inertia

224. In a long column, (slenderness ratio > 160) which of the following has the greatest influence on its tendency to buckle under a compressive load:

- A. Modulus of elasticity
- B. Radius of gyration of the column
- C. Length of the column
- D. Compressive strength of the material

225. The allowable load in shear for an 8.5 mm weld having an allowable shearing of 124 MPa for a total length of 306 mm is about:

- A. None in the list
- B. 1054 N
- C. 228000 N
- D. 745 N

226. The max. Moment of a beam with span 7 m. carrying a uniform load of 12 kn/m with both ends fixed is equal to

- A. 49 kn/m
- B. 62 kn/m
- C. 32 kn/m
- D. 86 kn/m

227. A steel column has the following properties: modulus of elasticity E = 200000 MPa, yield strength F_{y} = 200 MPa, length l = 12 m. Moment of inertia I = 37.7 x 10^{6} mm^{4} area = 8000 mm^{2}. The allowable stress is closest to:

- A. 120 mpa
- B. 67.4 mpa
- C. 33.7 mpa
- D. 91.1 mpa

228. A steel wide flange beam is laterally supported. The width of the web if the beam is 700 mm and web thickness is 10 mm, if F_{y} is equal to 250 MPa, the allowable bending stress is:

- A. 180 mpa
- B. 150 mpa
- C. 165 mpa
- D. 200 mpa

229. The moment of inertia of a trapezoid with base b = 600 mm and top a = 400 mm and depth d = 900 mm is nearest to:

- A. 50 x 10
^{9} mm^{4}
- B. 400 x 10
^{9} mm^{4}
- C. 60 x 10
^{9} mm^{4}
- D. 30 x 10
^{9} mm^{4}

230. A rectangular footing 2 m by 1.5 m carries a vertical load of 500 KN and moment of 100 KN-m in the longer direction of the footing. What is the maximum soil pressure under the footing?

- A. 353 kn/m
^{2}
- B. 3000 psf
- C. 267 kn/m
^{2}
- D. 533 kn/m
^{2}

231. A strip of steel 1 mm thick is bent into an area of a circle radius 1.0 m E is equal to 200 GPa. The maximum bending stress is:

- A. 100 MPa
- B. 50 MPa
- C. 200 MPa
- D. None in the list

232. The shear capacity v if a steel wide flange section , 600 mm deep whose web is 9 mm thick , is closest to : (assume Fy = 200 MPa)

- A. 486 KN
- B. 864 KN
- C. 432 KN
- D. 684 KN

233. A flat bar 50 mm by 6 mm in cross section is bent by a couple such that the maximum stress in the section is 162 MPa. If the modulus of elasticity of the material is 200000 N/mm^{2}, the radius of curvature of the bar is:

- A. 370 m
- B. 37 m
- C. 3.70 m
- D. 3700m

234. The structural I-beam supporting a floor carries a floor load of 4.6 kN/m^{2}. The beams span 6.0 m and are simply supported at their ends. Determine the center line spring if their ends. Determine the center line spring if the allowable stress in the beam is 120 Mpa and the section modulus is 534 x 10^{3} mm^{3 }.

- A. 3.75 m
- B. 3.45 m
- C. 4.0 m
- D. 3.0 m

235. A flat steel bar is 75 mm wide, 9 mm thick, and 1.2 m long. It is bent by two equal couples applied at the ends such that the midpoint deflection is 40 mm. Determine the magnitude of the couples. Assume E = 200000 MPa.

- A. 2001 N-m
- B. 1414 N-m
- C. 202.5 N-m
- D. 707.6 kN-m

236. A rectangular section has a moment of inertia Ix = 300 x 10^{6} mm^{4} and Iy = 80 x 10^{6} mm^{4} about an axis inclined 45 degrees counter – clockwise which passes through the centroid.

- A. 250 x 10
^{6} mm^{4}
- B. 190 x 10
^{6} mm^{4}
- C. 210 x 10
^{6} mm^{4}
- D. 230 x 10
^{6} mm^{4}

237. A precast beam of length l is to be lifted at two points. The Two points should be at ______ distance from the ends so the maximum moment is as small as possible.

- A. 0.21 l
- B. 0.33 l
- C. 0.50 l
- D. 0.25 l

238. A simply supported beam of length 7 m has a concentrated couple Mo of 10 KN-m applied at one end. The maximum deflection is located at this distance from the applied load.

- A. 2.50 m
- B. 2.252 m
- C. 3.95 m
- D. 2.75 m

239. A beam length L and with both ends fixed against rotation carries a concentrated load E somewhere along the span. If L obtained when concentrated is at this distance from one of the supports.

- A. 0.23 L
- B. 0.375 L
- C. 0.50 L
- D. 0.25 L

240. A propped cantilever beam (fixed at one end and simply supported at the other end) has a span L of 6.0 m the beam carries a uniform load W of 600 KN/m throughout the span. Compute the rotation at the simply supported end.

- A. 1350/EI
- B. 10800/EI
- C. 5400/EI
- D. 2700/EI

241. A simple beam of length L has a concentrated load of P at a distance A from the left support and B from the right support. The maximum moment in the beam is:

- A. Pa
^{2} /L
- B. None in the list
- C. Pa
^{2} /L^{2}
- D. Pab/L

242. A shear center of an H section with unequal flange is located rearer to the bigger flange. If the smaller flange is 16 mm by 100 mm, the larger is 16 mm by 200 mm, and the web is 9 mm by 284 mm, the distance of the shear center from the center of the bigger flange is:

- A. 248 mm
- B. 31.56 mm
- C. 142 mm
- D. 252.44 mm

243. Calculate the moment applied at the end of a flat steel bar 1.2 m long that will produce a midpoint deflection of 40 mm. The flat bar is 75 mm wide and 9 mm thick. Use E = 200000 MPa.

- A. 202.5 N-m
- B. 404.5 N-m
- C. 303.5 N-m
- D. 505.5 N-m

244. This subject involved analytical methods for determining strength, stiffness (deformation characteristics) and stability of the various member in a structural system:

I. Mechanics of materials

II. Strength of materials

III. Mechanics of deformable bodies

- A. One of the three
- B. Two of the three
- C. One of the three
- D. All of the three

245. A metal specimen with 36 mm diameter and has a length L = 360 mm. A force of 300 KN elongates the length by 1.2 mm. What is the elastic modulus?

- A. 198763 MPa
- B. 176829 MPa
- C. 199999 MPa
- D. 88419 MPa

246. Stress tensor contains the following independent stresses:

- A. 6 normal stresses + 3 shearing stresses
- B. 6 normal stresses + 6 shearing stresses
- C. 3 normal stresses + 3 shearing stresses
- D. 3 normal stresses + 6 shearing stresses

247. A simple beam having a span of 10 m. is subjected to a couple at the left support. At what distance from the left support will maximum deflection occurs?

- A. 4.22 m.
- B. 0
- C. 5.5 m
- D. 5 m

248. The allowable capacity of a 10 mm thick fillet weld, E 60 Electrode (Fu = 415 MPa) is:

- A. 900 N/mm
- B. 880 N/mm
- C. 885 N/mm
- D. 740 N/mm

249. The rotation or twist in degrees of a shaft, 800 mm long, subjected to a torque of 80 N-m, 20 in diameter, and shear modulus g of 80000 MPa is:

- A. 3.95
- B. 2.92
- C. None in the list
- D. 3.94

250. The location of the maximum shearing stress in the structural steel rolled section is at the :

- A. Flange junction of web and flange
- B. Web junction of web and flange
- C. Uniform a cross section
- D. Web neutral axis

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