BENDING & AXIAL

LOADING COMBINED

MULTIPLE CHOICE QUESTIONS

(MCQ) WITH ANSWERS 

MCQ increases understanding

and clarity. Bending and axial

loading is equivalent to eccentric

loading. Complex stresses produce

under bending and axial loading

co-exist. These complex stresses

reduce to simple stresses. After

that complete the design.

Fig. Axial & Bending loading Combined (P+M)

Fig. Eccentric loading equals axial & bending combined

Fig. Three cases in axial & bending loading combined

Case 1

σ_b  > σ_a 

∴  σ_cmax = σ_b + σ_a   

σ_t = 0

There is no net tensile stress in any fiber. 

Case 2

σ_b  <  σ_a 

∴    σ_cmax =σ_b + σ_a   

σ_t = σ_a –  σ_b

Case 3

σ_b  =  σ_a 

∴   σ_cmax =σ_b + σ_a 

σ_t = 0

Neutral axis will coincide with the outermost fiber.

 

1. The maximum stress under bending and axial loading is

(a) σ_b + σ_a

(b) σ_b – σ_a

(c) σ_b + σ_b

(d) None

ANS(a)

2. The minimum stress under bending and axial loading is

(a) σ_b + σ_a

(b) σ_b – σ_a

(c) σ_b + σ_b

(d) None

ANS(b)

3. When σ_b > σ_a, the neural axis will lie

   • (a) Within the cross section

   • (b) Outside the cross section

   • (c) On the outer edge of the cross section

   • (d) None

ANS:(a)

4. When σ_b = σ_a, the neural axis will lie

   • (a) Within the cross section

   • (b) Outside the cross section

   • (c) On the outer edge of the cross section

   • (d) None

ANS:(c)

5. When σ_b < σ_a, the neural axis lies

   • (a) Within the cross section

   • (b) Outside the cross section

   • (c) On the outer edge of the cross section

   • (d) None

ANS:(b)

6. When eccentricity (e)  is about one axis only, then the maximum stress in the section is 

(a) σ_be + σ_a

(b) σ_be – σ_a

(c) σ_be + σ_b

(d) None

ANS(a)

7. When eccentricity (e) is about two axis (e₁ and e₂), then the maximum stress in the section is

(a) σ_be1 + σ_be2 + σ_a

(b) σ_be1 — σ_be2 + σ_a

(c) σ_be1 + σ_be2 — σ_a

(d) None

ANS(a)

8. For zero tensile stress under eccentric loading in a beam of rectangular cross section, the rule applicable is

(a) Middle Quarter Rule

(b) Middle Third Rule

(c) Middle Quarter and Middle Third Rule

(d) None

ANS:(b)

9. For zero tensile stress under eccentric loading in a beam of circular  cross section, the rule applicable is

(a) Middle Quarter Rule

(b) Middle Third Rule

(c) Middle Quarter as well as Middle Third Rule

(d) None

ANS:(a)

10. The name of the area of a beam in which eccentricity lies is

(a) Quarter area

(b) Middle area

(c) Kernel Area

(d) None

ANS: ©

11. An industrial brick chimney is a case of combined axial and bending loading, the failure will occur due to

• (a) Tensile stress

• (b) Compressive stress

• (c) hear stress

• (d) None

ANS:(a) 

12. An industrial mild steel chimney is under combined axial and bending loading, the failure will occur due to

• (a) Tensile stress

• (b) Compressive stress

• (c) Tensile and compressive

• (d) None

ANS:(b)

13.  Loads acting on a dam are

(a) Bending load alone

(b) Compressive load alone

(c) Compressive and bending load

(d) None

ANS:©

14. Middle third rule applies to a beam with eccentric loading of

(a) Circular section’

(b) Elliptical section

(c) Triangular section

(d) None

ANS:(d) 

15. Middle Quarter rule applies to a beam of

(a) Circular section’

(b) Elliptical section

(c) Triangular section

(d) None

ANS:(a)

16. Where is the beam under combined axial and bending loading

(a) Building beam
(b) Chimney
(c) Bridge beam
(d) None
(Ans: b)

17. Bending of a short column can occur under

(a) Transverse load
(b) Axial load
(c) Torsion load
(d) None
(Ans: a)

18. For no tension, middle third rule applies to

(a) Circular section
(b) Triangular section
(c) Rectangular section
(d) None
(Ans: c)

19. For no tension, middle quarter rule applies to a

(a) Circular section
(b) Triangular section
(c) Rectangular section
(d) None
(Ans: a)

20. The one side of the kernel section of a rectangular section for no tension is

(a) (1/4) (b2 + h2)^0.5
(b) (1/8) (b2 + h2)^0.5
(c) (1/6) (b2 + h2)^0.5
(d) None
(Ans: c)

21. The radius of the kernel section of a circular section for no tension is

(a) d/4
(b) d/6
(c) d/8
(d) None
(Ans: c)

22. Eccentric load causes

(a) Only bending stress
(b) Only normal stress
(c) Bending and normal stress
(d) None
(Ans: c)

23. When σ_w > σ_b, the neural axis lies

(a) At the outer fiber
(b) Outside the beam
(c) Within the cross section of the beam
(d) None
(Ans: b)

24. When σ_w < σ_b, the neural axis lies

(a) At the outer fiber
(b) Outside the beam
(c) Within the cross section of the beam
(d) None
(Ans: c)

25. If σ_w = σ_b, the neural axis lies

(a) At the outer fiber
(b) Outside the beam
(c) Within the cross section of the beam
(d) None
(Ans: a)

26. A dam under axial and transverse load is a case of

(a) Buckling

(b) Eccentric loading

(c) Bending

(d) None

(Ans: b)

https://www.mesubjects.net/wp-admin/post.php?post=4290&action=edit  MCQ bend stresses

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