This is the Multiples Choice Questions Part 4 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), Strength of Materials Books, Journals and other Strength of Materials References.

### 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**

**MCQs from Number 1 – 50**Answer key:

**PART I**

**MCQs from Number 51 – 100**Answer key:

**PART II**

**MCQs from Number 101 – 150**Answer key:

**PART III**

**MCQs from Number 151 – 200**Answer key:

**PART IV**

**MCQs from Number 201 – 250**Answer key:

**PART V**

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

**Choose the letter of the best answer in each questions.**

151. The section of a beam at which the bending moment changes from positive to negative is called.

- A. Critical point
- B. Deflection point
- C. Point of inflection
- D. None of the above

152. A circular steel plate must fit into an opening whose area is fifty square inches. Find the diameter of the plate to two decimal places.

- A. 7.98 in.
- B. 8.65 in.
- C. 6.45 in.
- D. 9.60 in.

153. Find the constant of 81 Hp in a 3 inches cold rolled line shafting which transmitted 210 rpm.

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

154. 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.

155. 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

156. 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

157. 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

158. 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

159. 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

160. The deflection of a beam is:

- A. Directly proportional to the modulus of elasticity and Moment of inertia
- B. Inversely proportional to the modulus of elasticity and moment of inertia
- C. Directly proportional to the load imposed and inversely to the length squared
- D. Inversely proportional to the weight and length

161. 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

162. The linear portion of the stress – strain diagram of steel is known as the:

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

163. Stress concentration factor:

- A. Is a ratio of average stress on a section to the allowable stress
- B. Is the ratio of areas involved in a sudden change of cross section
- C. Is the ratio of maximum stress produced in a section to the average stress over the section
- D. Is the load factor applied to loads

164. Modulus of rigidity of a steel member is

- A. Define as the unit shear stress divided by the unit shear deformation (shear strain)
- B. Equal to the modulus of elasticity divided by one plus Poisson’s ratio
- C. Defined as the length divided by the moment of inertia
- D. Equal to approximately 7/10 of the modulus of elasticity

165. Fixing both ends of a simply supported beam that has a uniform load throughout the span will increase the allowable load by:

- A. 25%
- B. 50%
- C. 75%
- D. 100%

166. The area of the shear diagram between any two points on the beam is equal to:

- A. Change in shear between two points
- B. Total shear between the two points
- C. Average moment between the two points
- D. Change in moment between the two points

167. A thin walled cylindrical shell has an internal diameter of 2 m. And is fabricated from plates 20 mm. Thick. Calculate the safe pressure in the shell if the tensile strength of the Plate is 400 kN/mm^{2} and the factor of safety is 6.

- A. 1.33 n/mm
^{2} - B. 0.33 n/mm
^{2} - C. 13.3 n/mm
^{2} - D. 133.3 n/ mm
^{2}

168. The linear portion of the stress-strain diagram of the steel is known as the:

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

169. For a system to be in equilibrium, the sum of the external forces acting on the system must be:

- A. Equal to unity
- B. A maximum
- C. Indeterminate
- D. Zero

170. A short structural member of length **l**, area **a** and modulus of elasticity e, subjected to a compression load of **p**. The member will:

- A. Elongated by pl/ae
- B. Shorten by pl/ae
- C. Buckle at Ï€
^{2}Ei/ll - D. None of the above

171. What is a metal characteristic to withstand forces that cause twisting?

- A. Torsional strength
- B. Modulus of elasticity
- C. Twisting moment
- D. Elasticity

172. Determine the estimate weight of an A-36 steel plate size 3/16 x 6’ 20’.

- A. 919 lbs.
- B. 1012 lbs.
- C. 829 lbs.
- D. 735 lbs.

173. A 3’’ diameter short shaft carrying two pulley close to the bearings transmit how much horsepower if the shaft makes 280 rpm?

- A. 199 hp
- B. 198 hp
- C. 200 hp
- D. 210 hp

174. What pressure is required to punch a hole 2’’

- A. 10 tons
- B. 20 tons
- C. 30tons
- D. 40 tons

175. Compute the working strength of a 1’’ bolt which is screwed up tightly in a packed joint when the allowable working stress is 13000psi?

- A. 3600 psi
- B. 3950 psi
- C. 3900 psi
- D. 3800 psi

176. What is the working strength of a 2’’ bolt which is screwed up tightly in a packed joint when the allowable working stress is 12000 psi?

- A. 20,120 lbs.
- B. 25,347 lbs.
- C. 20,443 lbs.
- D. 20,200 lbs.

177. Compute the speed of the gear mounted on a 52.5 mm diameter shaft receiving power from a driving motor with 250hp.

- A. 2182 rpm
- B. 2071 rpm
- C. 2282 rpm
- D. 2341 rpm

178. What force p is required to punch a ½ in. Hole on a 3/8 in. Thick plate if the ultimate shear strength of the plate is 42000 psi?

- A. 24940 lbs
- B. 24620 lbs
- C. 24960 lbs
- D. 24740 lbs

179. A hollow shaft has inner diameter of 0.035 m. And outer Diameter of 0.06 m. Determine the polar moment of inertia of the hollow shaft.

- A. 1.512 x 10
^{-6 }m^{4} - B. 1.215 x 10
^{-6 }m^{4} - C. 1.152 x 10
^{-6}m^{4} - D. 1.125 x 10
^{-6 }m^{4}

180. What is the modulus of elasticity if the stress is 44,000 psi and a unit of 0.00105?

- A. 41.905 x 10
^{6} - B. 42.300 x 10
^{6} - C. 41.202 x 10
^{6} - D. 43.101 x 10
^{6 }

181. Determine the thickness of a steel air receiver with 30 inches diameter and pressure load of 120 psi. Design stress of 8000 psi.

- A. ¼ in.
- B. 5/8 in.
- C. 3/8 in.
- D. ½ in.

182. The section modulus of a rectangular of base “b” and height “h” about its base is:

- A. Bh
^{2}/6 - B. Bh
^{3}/3 - C. Bh
^{2}/12 - D. Bh
^{3}/12

183. A 2-in. Solid shaft is driven by a 36-in. Gear and transmits power at 120 rpm. If allowable shearing stress is 12 psi, what Horsepower can be transmitted?

- A. 29.89
- B. 35.89
- C. 38.89
- D. 34.89

184. A coiled spring with 5 cm. Of outside diameter is required to work under the load of 190 n. The wire diameter is 15 mm, the spring is to have 6 active coils and the ends to be closed and round. Determine the total number of coils. The modulus of rigidity is 80gpa and the mean radius is to be 23 mm, with 7 mm pitch of the spring.

- A. 6.5 coils
- B. 7.5 coils
- C. 8.5 coils
- D. 9.5 coils

185. A helical spring having square and ground ends has a total of 18 coils and its material has modulus of elasticity in shear of 78.910 GPa. If the spring has an outside diameter of 10.42 cm. and a wire diameter of 0.625 cm, compute the maximum deflection that can be produced in the spring due to a load of 50 Kgs.

- A. 302 mm
- B. 342 mm
- C. 551 mm
- D. 322 mm

186. Design the size of solid steel to be used for 500 Hp, 250 rpm application if the allowable torsional deflection is 1° and the allowable stress is 10,000 psi and modulus of rigidity is 13 X 10^{6} Psi.

- A. 5” dia.
- B. 4 5/8” dia.
- C. 4 7/8” dia.
- D. 4 ¾” dia.

187. With the electric arc welding rate of 18 in./min., how long will It take to weld a ½ in. Thick plate by 3 ft. Long seam?

- A. 3 min.
- B. 2 min.
- C. 1.5 min.
- D. 4 min.

188. A hollow shaft has an inner diameter of 0.035 m. An outer diameter of 0.06 m. Compute for the torque if the shear Stress is not to exceed 120 GPa in nm.

- A. 4500
- B. 4100
- C. 4300
- D. 4150

189. What modulus of elasticity in tension is required to obtain a unit deformation of 0.00105 m/m from a load producing a unit tensile stress of 44,000 psi?

- A. 42.300 x 10
^{6 }Psi - B. 41.202 x 10
^{6 }Psi - C. 43.101 x 10
^{6 }Psi - D. 41.905 x 10
^{6 }Psi

190. If the ultimate shear strength of steel plate is 42,000 lb/in2, what force is necessary to punch a 0.75 inch diameter hole in an inch thick plate?

- A. 63008 lbs.
- B. 68080 lbs.
- C. 61800 lbs.
- D. 66800 lbs.

191. A steel tie rod on bridge must be made to withstand a pull of 5000 lbs. Find the diameter of the rod assuming a factor of safety of 50 and ultimate stress of 64000 lb/in^{2}.

- A. 0.75 in.
- B. 0.71 in.
- C. 0.84 in.
- D. 0.79 in.

192. Compute the nominal shear stresses at the surface in MPa for a 40 mm DIIA, meter shaft that transmit 750 KW at 1500 rpm. Axial and bending load are assumed negligible. Torsional shearing stress is 28 n/mm^{2}.

- A. 218
- B. 312
- C. 232
- D. 380

193. The ratio of the moment of inertia of the cross-section of the beam to the section modulus.

- A. Equal to the radius gyration
- B. Equal to the area of the cross-section
- C. Measure a distance
- D. Dependent on the modulus of elasticity of the beam measure

194. Continuous stretching under load even if the stress is less than the yield point:

- A. Plasticity
- B. Elasticity
- C. Creep
- D. Ductility

195. The maximum moment in a simple beam subject to a triangular load beginning at zero from the left support to a value at the right support occurs at distance from the left support of:

- A. 0.5 l
- B. 0.577 l
- C. 0.667 l
- D. 0.750 l

196. Shear center of a cross section:

- A. Is located at the centroid for wf and doubly symmetric shapes.
- B. Can be located by equilibrium of internal torsional shear stresses with external torsional forces.
- C. For singly symmetry cross section such as c shape, is located at the axis of symmetry but not at the centroid.
- D. All of the above

197. 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

198. The linear portion of the stress- strain diagram of steel is known as the

- A. Modulus of elasticity
- B. Plastic range
- C. Stain hardening
- D. Elastic range

199. Principal stress occur on those planes

- A. Where the shearing is zero
- B. Which are 45° degrees apart
- C. Where the shearing stress is a maximum
- D. Which are subjected to pure tension

200. The deflection of the beam is

- A. Directly proportional to the modulus of elasticity and moment of inertia
- B. Inversely proportional to the modulus of elasticity and moment of inertia
- C. Directly proportional to the load imposed and inversely to the length squared
- D. Inversely proportional to the weight and length

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