quiz_1

Gh. Asachi Technical University of Iai Structural Statics Statically Determinate Structures Department of Structural Mechanics Senior Lecturer Cezar Aanici, Dr. Eng.

- 1 -

0

0

0

sin cos

cos sini i i t i

i i i t i

i i t i

N Q NQ Q NM M N y

= = =

QUIZ 01

1. Let specify which is the correct meaning of the l term from the following relationship: ns=(l+r)-3c

for the structural static analysis of plane systems which could be separated by open bodies (not for systems with closed loops):

a) sum of the outward (external) links b) sum of the inward (internal) links c) sum of the outward simple supported links d) sum of the internal simple supported links

2. Let specify which is the correct meaning of the r term from the following relationship:

ns=(r+b) 2n1 for the structural static analysis of truss systems.

a) sum of the outward (external) links b) sum of the internal hinges c) sum of the outward simple supported links d) sum of the internal simple supported links

3. Let specify which is the correct meaning of the s term from the following relationship

ns=3k - s for the structural static analysis of plane systems with closed loops.

e) sum of the outward (external) links f) sum of the inward (internal) links g) sum of the missing external and internal simple links h) sum of the internal and external simple links

4. Let specify in which cross section and on which structure the Qi

0 shear force, and the Mi0 bending moment, respectively, are calculated for a vertically loaded key hinged simple supported arch with a tie-rod at the spring line level:

a) in the corresponding tie-rod i cross-section; b) in the corresponding i cross-section of a three hinged arch, with the same span length as of the

tie-rod arch and identically loaded; c) in the corresponding i cross-section of the horizontal tie-rod, with the same span length as of

the tie-rod arch and identically loaded; d) in the corresponding i cross-section of a horizontal attached simple supported beam with the

same span length as of the tie-rod arch and identically loaded.

5. Let specify for which load applied to a parabolic three hinged arch (with horizontal spring line) a

coincidence form could be obtained (null bending moment in each arch cross-section):

a) horizontal concentrated force applied in the key cross section b) vertical uniform distributed load on the whole arch opening c) uniform distributed bending moments on the whole arch length d) vertical concentrated force applied in the key cross section


- 2 -

the angle bettween the arch tangent and a horizontal line in the i cross section the corresponding i cross section ordinate

i

iy = =

the angle bettween the arch tangent and a vertical line in the i cross section the corresponding i cross section ordinate

i

iy = =

the angle bettween the arch tangent and a horizontal line in the i cross section the corresponding i cross section abscissa

i

iy = =

the angle bettween the arch tangent, and the i cross section of the attached horizontal simple supported beam

the corresponding distance from the i cross section to the attached horizontal simple supported beam.

i

iy

= =

6. Let specify which is the correct meaning of the i, and yi, respectively, from the following

relationships of the internal efforts in the i cross section of a three hinged arch with horizontal spring line, and vertically loaded:

===

i0ii

ii0ii

ii0ii

yHMM

sinHcosQQ

cosHsinQN

a)

b)

c)

d)

7. Let specify which of the co-linearity theorems of the instantaneous rotation centers are the correct ones: a) for three stiff structural parts I, II, III of a mechanism, the absolute rotation centers (1,T), (2,T),

and (3,T), respectively, are colinear; b) for two stiff structural parts I, and II of a mechanism, the instantaneous absolute rotation

centers (1,T), (2,T), and their relative rotation center (1,2), respectively, are colinear; c) both theorems; d) none of the above theorems.

8. Considering that the virtual work method is applied, let specify which is the correct static equilibrium

equation (virtual displacement method):

a) 0MF)M(

KK)F(

iiKi + ;

b) 0MF )M(KK)F(

iiKi =+ ;

c) 0MF)M(

KK)F(

iiKi =+ ;

d) none

9. Let specify which is the correct influence line definition for an internal effort or a reactive force Si: a) internal effort or reactive force variation, respectively, on the whole length of the structure

when in the cross section i is loaded with an arbitrary concentrated force; b) internal effort or reactive force variation, respectively, on the whole length of the structure

when in the cross section i is loaded with a virtual concentrated force 1F = ; c) internal effort or reactive force variation, respectively, in the i cross section produced by a

mobile virtual concentrated force 1F = applied on the loading way of the structure; d) internal effort or reactive force variation, respectively, in the i cross section produced by an

uniform distributed load q = 1 applied on the loading way of the structure.


- 3 -

LMi

10KN/m

12/5

20KNm 30K

6/5 4m 6m

+

-

i

10. Let specify for which load the influence line of an internal effort or a reactive force (Si) is drawn:

a) virtual force 1F = applied on the loading way of the structure; b) virtual bending moment 1M = applied on the loading way of the structure; c) mobile force F = 1 applied on the loading way of the structure; d) uniform distributed load q = 1 applied on the loading way of the structure.

11. Let specify which is the correct meaning of an influence line coefficient Sik - internal effort or reactive

force:

a) the internal effort or reactive force value Si, respectively, when an arbitrary mobile force F acts in the k cross-section;

b) the internal effort or reactive force value Si, respectively, when a virtual force 1F = acts in the k cross-section;

c) the internal effort or reactive force value Si, respectively, when a mobile force F = 1 acts in the k cross-section;

d) the internal effort or reactive force value Si, respectively, when the resultant force of a uniform distribute load q =1 acts in the k cross-section;

12. Let specify for which internal effort the

shown influence line has been drawn.:

a. VC b. MC c. ME

13. Let specify which is the correct value of the axial effort in the indicated beam of the shown truss system:

a. N = -1,06 KN b. N = 2,31 KN c. N = 1,06 KN

14. Let specify which one of the indicated values is the right bending moment Mi of the shown beam, knowing the corresponding influence line:

a. Mi = - 48 KNm b. Mi = 72 KNm c. Mi = 96 KNm

1/6 1/44

1/24 1

B C D E F G H i j

1m 4m 1m 4m 1m 4m 1m 4m 1m

-

45 6m 6m 6m 6m 6m

4m1m 3m

P=10KN


- 4 -

15. Which are the corresponding outward links for the shown bending

moment diagram:

a.

b. c.

16. Knowing the shear force influence line of the i cross-section, let indicate for which load case Qi=25 kN: a.

b. c.

17. Which is the correct influence line for the shear force stcQ ? a. b.

c.

M

15KNm 25KNm 15KNm20KNm25KNm

40KNm 40KNm

2m 4m 4m 2m 4m

5m

3

m 10KN/m 20KN

2m 4m 4m 2m 4m

5m

3m

10KN/m 20KN

2m 4m 4m 2m 4m

5m

3

m 10KN/m 20KN

-+

-

10m 3m

i

LQi

10KN/m

10KN/m

10KN/m

2/5

20KNm

30KN

30KN

30KN

3/10

3/5

4m 6m 3m

4m 6m 4m

4m 6m 4m

20KNm

20KNm

A C DB

- 1

+ +

+-

1

1


- 5 -

i

+-

1

vA=2cm

uA=2cm

C

BA

4m

4m

4m

18. For which internal effort of the i cross-section has been

drawn the following influence line:

a. Qi b. Mi c. Ni

19. Knowing the vertical reactive force influence line

VA, let specify which is its correct value:

a. VA=8.33 KN b. VA=10 KN c. VA=5 KN 20. Knowing the thrust influence line H, let specify which is

its correct value:

a. H=160 KN b. H=135 KN c. H=140 KN 21. Let specify the correct value of the vertical displacement vc for

the indicated settlements:

a. vc=2 cm b. vc=0 c. vc=-2 cm

1/24LVA +

VA

4m

20 KN

12m 6m 6m

HL

6m6m

4m

H

+

6m6m

0,125

10 KN/m


- 6 -

160KN160KNm

4m

20KNA

4m

10KN/m

40KN

22. Which is the correct relationship set between the bending moments )( ''' MM for the following beams:

a.

>>>

''''''

''''''

''''''

,

,

,

ACCA

BAAB

ACCA

MMMM

MMMM

MMMM

23. For the shown structure, let indicate which is the right

bending moment diagram for beam AB:

a.

b.

c.

24.

Let specify which is the correct value of the axial effort in the indicated beam of the shown truss system:

a. N = 9,452 KN b. N = -11,186 KN c. N = -9,452 KN 28. Let specify the corresponding internal axial effort to the drawn influenced line of the following truss system.

1. N46

2. N67 3. N57

MA' MA

MBMB

I0 0I I 00IMC MC

I 0 I 0

ll

a b a a b alA

B C

''

'' ''' '

140KNm 160KNm160KNm

140KNm 160KNm160KNm

10KN 10KN

10KN

3m 3m 3m 3m 3m

1,5

m 1

,5m

10KN

-

14

3m

4 16

8

2m 2m 2m 2m 2m 2m 2m 2m

6

1 3 5 7 9 11 13 15

2

2,11m

1012

1


- 7 -

a.

b.

c.

4

m

2

m

4m

20KNm

10K

N/m

60KN

25. Let specify to which beam corresponds the shown bending moment diagram:

26. Let specify which is the corresponding load case for the shown bending moment diagram.

a.

b.

c.

10KN/m

1m 3m 3m 2m 1m

1m 3m 3m 2m 1m

1m 3m 3m 2m 1m

1m 3m 3m 2m 1m

5KNm 10,6KNm

30,6KNm 46,2KNm

3,3KNm

20KNm 30KN 6,6KN/m

10KN/m 20KNm 30KN

10KN/m

17KN/m

20KNm 10KN/m

30KN

4m

2m

4m

20KNm

10K

N/m

60KN

4m

2m

4m

20KNm

10KN/m

60KN

186,67KNm

20KNm

53,33KNm

240KNm

M

quiz_1

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