Question 1

A tube has an internal diameter of 80 mm and an external diameter of 100 mm. The second moment of area of the section about the neutral axis is:

Accepted Answer

A)  0.18 x 106 mm4 
B)  2.0 x 106 mm4 
C)  2.9 x 106 mm4 
D)  490 x 106 mm4 
A)  0.18 x 106 mm4 
B)  2.0 x 106 mm4 
C)  2.9 x 106 mm4 
D)  490 x 106 mm4 C

Question 2

A beam has a section modulus of 2 x 106 mm3. When subject to a bending moment of 12 kN m, the maximum bending stress is:

Accepted Answer

A)  1.7 MPa 
B)  6 MPa 
C)  12 MPa 
D)  24 MPa 
A)  1.7 MPa 
B)  6 MPa 
C)  12 MPa 
D)  24 MPa A

Question 3

The slenderness ratio for a column with an effective length of 4 m and a radius of gyration of 50 mm is:

Accepted Answer

A)  0.2 
B)  40 
C)  80 
D)  245 
A)  0.2 
B)  40 
C)  80 
D)  245 C

Question 4

A rectangular cross-section beam has a depth four times its breadth. If the maximum bending moment is to be 16 kN m and the maximum bending stress 50 MPa, the limiting depth of the beam is:

Accepted Answer

A)  49 mm 
B)  98 mm 
C)  197 mm 
D)  394 mm 
A)  49 mm 
B)  98 mm 
C)  197 mm 
D)  394 mm

Question 5

A beam has a rectangular cross-section 40 mm deep, with second moment of area about the neutral axis of 7 % 104 mm4, and is bent into the arc of a circle. For a bending moment of 120 N m, the maximum bending
Stress is:

Accepted Answer

A)  17.2 MPa 
B)  34.3 MPa 
C)  68.6 MPa 
D)  1714 MPa 
A)  17.2 MPa 
B)  34.3 MPa 
C)  68.6 MPa 
D)  1714 MPa

Question 6

Decide whether each of these statements is True (T) or False
When a uniform cross-section strip is bent into a circular arc:
(i) There is no strain on the neutral axis.
(ii) The stress is a maximum at the outer curved surfaces.

Accepted Answer

A)  (i) T (ii) T 
B)  (i) T (ii) F 
C)  (i) F (ii) T 
D)  (i) F (ii) F 
A)  (i) T (ii) T 
B)  (i) T (ii) F 
C)  (i) F (ii) T 
D)  (i) F (ii) F

A tube has an internal diameter of 80 mm and an external diameter of 100 mm. The second moment of area of the section about the neutral axis is:

A beam has a section modulus of 2 x 106 mm3. When subject to a bending moment of 12 kN m, the maximum bending stress is:

The slenderness ratio for a column with an effective length of 4 m and a radius of gyration of 50 mm is:

A rectangular cross-section beam has a depth four times its breadth. If the maximum bending moment is to be 16 kN m and the maximum bending stress 50 MPa, the limiting depth of the beam is:

A beam has a rectangular cross-section 40 mm deep, with second moment of area about the neutral axis of 7 % 104 mm4, and is bent into the arc of a circle. For a bending moment of 120 N m, the maximum bending Stress is:

Decide whether each of these statements is True (T) or False When a uniform cross-section strip is bent into a circular arc: (i) There is no strain on the neutral axis. (ii) The stress is a maximum at the outer curved surfaces.

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Exam 13: Structural Members

A tube has an internal diameter of 80 mm and an external diameter of 100 mm. The second moment of area of the section about the neutral axis is:

A beam has a section modulus of 2 x 106 mm3. When subject to a bending moment of 12 kN m, the maximum bending stress is:

The slenderness ratio for a column with an effective length of 4 m and a radius of gyration of 50 mm is:

A rectangular cross-section beam has a depth four times its breadth. If the maximum bending moment is to be 16 kN m and the maximum bending stress 50 MPa, the limiting depth of the beam is:

A beam has a rectangular cross-section 40 mm deep, with second moment of area about the neutral axis of 7 % 104 mm4, and is bent into the arc of a circle. For a bending moment of 120 N m, the maximum bending Stress is:

Decide whether each of these statements is True (T) or False When a uniform cross-section strip is bent into a circular arc: (i) There is no strain on the neutral axis. (ii) The stress is a maximum at the outer curved surfaces.

Basics, and Statics

Linear Motion, and Stress and Strain

Angular Motion

Dynamics, and Energy

Heat, and D.C Circuits

Capacitance, and Magnetic Flux

Alternating Current, and Series A.C Circuits

Transients, D.C Circuit Analysis, and D.C Machines

Parallel A.C Circuits

Three-Phase A.C

Circular Motion, Component, and Structures

Mechanical Power Transmission

Frictional Resistance

Angular Dynamics

Oscillations

Filters