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Chapter 5: Torsion Test for Chapter 1~ 3 in book

1、 问题:The method of sections is used to determine the (                     ) acting on the surface of the sectioned body. In general, these resultants consist of a (                   ), (                      ), (                     ), and bending moment.
选项:
A: resultant loadings, force along x, a force along y axis, torsional moment
B:resultant loadings, normal force, shear force, external couple
C:external resultant loadings, normal force, shear force, torsional moment
D:internal resultant loadings, normal force, shear force, torsional moment
答案: 【internal resultant loadings, normal force, shear force, torsional moment

2、 问题:(         ) is a measure per unit length of the elongation or contraction of a small line segment in the body, whereas (          ) is a measure of the change in (           ) that occurs between two small line segments that are originally (             ) to one another.
选项:
A:Normal strain, shear strain, angle, perpendicular
B:Shear strain, normal strain, angle, perpendicular 
C:Normal strain, shear strain, length, perpendicular
D:Shear strain, normal strain, length, perpendicular
答案: 【Normal strain, shear strain, angle, perpendicular

3、 问题:The rigid beam is supported by a pin at A and wires BD and CE. If the distributed load causes the end C to be displaced 20 mm downward, the normal strain developed in wires DB is (        ) and in wire CE is (         ).
选项:
A:0.00266 mm/mm, 0.001 mm/mm
B: 0.00533 mm/mm, 0.005 mm/mm
C:0.00533 mm/mm, 0.01 mm/mm
D:0.00266 mm/mm, 0.005 mm/mm
答案: 【0.00533 mm/mm, 0.01 mm/mm

4、 问题:A 100-mm long rod has a diameter of 15 mm. If an axial tensile load of 20 kN is applied to it, the change in its diameter is (               ). E = 70 GPa, υ = 0.35.
选项:
A:
B:
C:
D:
答案: 【

5、 问题:If the elongation of wire BC is 0.3 mm after the force P is applied, the magnitude of P is (                 ). The wire is A-36 steel and has a diameter of 3 mm.
选项:
A:942 N
B:628 N
C:1256 N
D:314 N
答案: 【942 N

6、 问题:A 20-mm-wide block is firmly bonded to rigid plates at its top and bottom. When the force P is applied the block deforms into the shape shown by the dashed line. The block’s material has shear modulus G = 52 GPa.  Assume that the material does not yield and use small angle analysis. The magnitude of  P is (                      ).
选项:
A:460 kN
B:130 kN
C:260 kN
D:520 kN
答案: 【520 kN

7、 问题:The three suspender bars are made of the same material and have equal cross-sectional areas A. The average normal stress in the bar AB is (                  ) if the rigid beam ACE is subjected to the force P.
选项:
A:(7P)/(12A)
B:(5P)/(12A)
C:(2P)/(3A)
D:(P)/(2A)
答案: 【(7P)/(12A)

8、 问题:The solid circular shaft is subjected to an internal torque of T = 8kN·m. The shear stress developed at points A and B are (                 ) and (                     ), respectively.
选项:
A:79.58 MPa, 59.68 MPa
B:49.7 MPa, 37.3 MPa 
C:49700 Pa, 37300 Pa
D:79580 Pa, 59680 Pa
答案: 【79.58 MPa, 59.68 MPa

9、 问题:The shear stress developed at point A on the surface of the shaft is (                     ).  The shaft has a radius of 60 mm.
选项:
A:11.79 MPa
B:7.42 MPa
C:25.42 MPa
D:30.57 MPa
答案: 【11.79 MPa

10、 问题:A bar AB having length L and axial rigidity EA is fixed at end A. At the other end a small gap of dimension s exists between the end of the bar and a rigid surface. A load P acts on the bar at point C, which is two thirds of the length from the fixed end. If the support reactions at A and B produced by the load P are to be equal in magnitude, the size s of the gap is (               ).
选项:
A:(PL)/(6EA)
B:(2PL)/(3EA)
C:(PL)/(3EA)
D:(2PL)/(EA)
答案: 【(PL)/(6EA)

11、 问题:A circular steel rod of diameter d is subjected to a tensile force P = 3.5 kN. The allowable stresses in tension and shear are 118 MPa and 48 MPa, respectively. The minimum permissible diameter dmin of the rod is (               ).
选项:
A:3.42 mm
B:6.81 mm
C:4.63 mm
D:5.45 mm
答案: 【6.81 mm

12、 问题:When a shaft having a circular cross section is subjected to a torque, the cross section remains plane while radial lines rotate. This causes a (               ) within the material that varies (               )  along any (                ) line.
选项:
A:shear strain; linearly; radial
B:normal strain; linearly; radial 
C:shear strain; nonlinearly; radial
D: shear strain; nonlinearly; longitudinal
答案: 【shear strain; linearly; radial

13、 问题:A circular steel tube of length L = 1.0 m is loaded in torsion by torques T. If the inner radius of the tube is r1 = 45 mm and the measured angle of twist between the ends is 0.5°, the shear strain γ1 (in radians) at the inner surface is (            )
选项:
A:
B:
C:
D:
答案: 【

14、 问题:A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. Assuming that the shear modulus of elasticity is G = 80 GPa, the maximum torque Tmax that can be applied to the shaft is (          )
选项:
A:9164 N⸱m
B:4582 N⸱m
C:10602 N⸱m
D:8320 N⸱m
答案: 【9164 N⸱m

Chapter 7 Transverse Shear Test for Chapters 4 and 5 in book

1、 问题: In the case of a beam, a positive shear force acts (          ) against the material and a negative shear force acts  (          ) against the material. Also, a positive bending moment (          ) the upper part of the beam and a negative bending moment (        ) the upper part. 
选项:
A:clockwise, counterclockwise, compresses, stretches
B:clockwise, counterclockwise, stretches, compresses
C:counterclockwise, clockwise, stretches, compresses
D:counterclockwise, clockwise, compresses, stretches
答案: 【clockwise, counterclockwise, compresses, stretches

2、 问题: At the point of application of a concentrated load, the bend moment (         ) while the rate of change of the bend moment undergoes (        ). At the point of application of a couple, the shear force (        ) while the bending moment (        ).
选项:
A: does not change, an abrupt change, does not change, changes abruptly 
B:does not change, no change, changes abruptly, changes abruptly
C:changes abruptly, no change, does not change, changes abruptly
D:does not change, no change, does not change, changes abruptly
答案: 【 does not change, an abrupt change, does not change, changes abruptly 

3、 问题:A beam with an overhang at the left-hand end is shown in the figure. Assume the shear force at the cross section x equal to zero, then the value of x is (          ).
选项:
A:7a/6
B:5a/6
C:6a/5
D:6a/7
答案: 【7a/6

4、 问题:The cross section of a straight beam remains plane when the beam deforms due to bending. This causes (                         ) on one side of the beam and (                        ) on the other side. The neutral axis is subjected to (                 ) .
选项:
A:tensile stress; compressive stress; zero stress
B:compressive stress; tensile stress; maximum normal stress
C:shear stress; normal stress; zero stress
D:normal stress; shear stress; zero stress
答案: 【tensile stress; compressive stress; zero stress

5、 问题:Due to the pure bending deformation, the longitudinal (                   )   strain varies (                    ) from (                    ) at the neutral axis to a maximum at the outer fibers of the beam.
选项:
A:normal; linearly; zero
B:shear; nonlinearly; zero
C:normal; linearly; maximum
D:shear; nonlinearly; zero
答案: 【normal; linearly; zero

6、 问题:For linear-elastic material, the neutral axis passes through the (           ) of the cross-sectional area. This conclusion is based on the fact that the resultant (           ) acting on the cross section must be (             ).
选项:
A:centroid; axial normal force; zero
B:centroid; shear force; zero
C:centroid; bending moment; zero
D:centroid; axial normal force; maximum
答案: 【centroid; axial normal force; zero

7、 问题:In terms of the beams shown in Figs. (a) and (b), their corresponding maximum bending stress are denoted by and , respectively. Thus,  is (          ).
选项:
A:1/4
B:1/16
C:1/64
D:4
答案: 【1/4

8、 问题:If the beam is subjected to a bending moment of M = 10 kN⸱m, the bending stress developed at point A is (                    ).
选项:
A:3.96 MPa (Tension) 
B: 1.98 MPa (Tension) 
C:5.94 MPa (Compression)
D:3.96 MPa (Compression)
答案: 【3.96 MPa (Tension) 

9、 问题:If the beam is subjected to a bending moment of M = 16 kN⸱m, the maximum bending stress in the beam is  (                   ). 
选项:
A:59.6 MPa
B:48.6 MPa
C:74.5 MPa
D:85.4 MPa
答案: 【59.6 MPa

10、 问题:Determine the dimension a of a beam having a square cross section in terms of the radius r of a beam with a circular cross section if both beams are subjected to the same internal moment which results in the same maximum bending stress.
选项:
A:a = 1.68r 
B:a = 0.68r
C: a = 0.89r 
D:a = 1.12r
答案: 【a = 1.68r 

11、 问题:Shear forces in beams cause (     ) shear-strain distributions over the cross-section, causing it to (     ).
选项:
A:nonlinear, warp
B:linear, warp
C:constant, rotate
D: linear, rotate 
答案: 【nonlinear, warp

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