Test 21 - Analysis of Plane Trusses

Question 1 ప్రశ్న 1

Which set of assumptions is most consistent with the usual ideal analysis of a statically determinate plane truss?

A Members are straight two-force members connected by ideal pins, and external loads and reactions act at the joints. B Members resist significant bending moments at rigid joints, while loads may act anywhere along each member. C Every member carries only transverse shear and no axial force. D Joint rotations are completely restrained and member end moments are the primary unknowns.

Question 2 ప్రశ్న 2

For a plane pin-jointed truss having j joints, m members and r independent external reaction components, which counting relation is necessary for static determinacy when the truss is also geometrically stable?

A m + r = 2j B m + r = 3j C m = j + r D 2m + r = j

Question 3 ప్రశ్న 3

A plane truss has 8 joints and 13 members and is supported by one pin and one roller, giving three independent reaction components. Provided its geometry is stable and properly triangulated, how is it classified by the usual counting criterion?

A Statically determinate or perfect by count B Deficient by one member C Statically indeterminate to degree one D Statically indeterminate to degree two

Question 4 ప్రశ్న 4

A plane pin-jointed truss has 8 joints, 12 members, one pin support and one roller support. Assuming a generic geometry with no special stabilizing constraint, what does the member-and-reaction count indicate?

A It is deficient by one member and is kinematically unstable by the count criterion. B It is a perfect statically determinate truss. C It is statically indeterminate to degree one. D It is statically indeterminate to degree two.

Question 5 ప్రశ్న 5

A geometrically stable plane truss has 8 joints, 14 members, one pin support and one roller support. What is its degree of static indeterminacy according to the standard count?

A Zero B One C Two D Three

Question 6 ప్రశ్న 6

At an unloaded joint J of a plane truss, J is not a support and exactly two members JK and JL meet. The two members are not collinear. What can be concluded from joint equilibrium?

A Both JK and JL are zero-force members. B Both members must be in equal tension. C Both members must be in equal compression. D Only the longer member is a zero-force member.

Question 7 ప్రశ్న 7

At an unloaded, unsupported truss joint J, three members JK, JL and JM meet. Members JK and JL are collinear while JM is non-collinear with them. Which conclusion follows directly from equilibrium?

A JM is a zero-force member. B JK is necessarily a zero-force member. C JL is necessarily a zero-force member. D All three members necessarily carry equal force.

Question 8 ప్రశ్న 8

After the support reactions of a statically determinate plane truss have been found, which joint is usually the most convenient starting point for the method of joints?

A A joint having no more than two unknown member forces B A joint having the greatest possible number of unknown member forces C Only the joint farthest from every support D Only a joint at which three unknown non-collinear member forces occur

Question 9 ప్రశ్న 9

Which statement best describes efficient use of the method of sections for a statically determinate plane truss?

A Cut through the desired members and preferably through no more than three unknown member forces, then apply planar rigid-body equilibrium to one side of the cut. B Cut through every member simultaneously and use only ΣFx = 0. C The section must always pass through exactly one member. D Support reactions need never be determined before a section is analysed.

Question 10 ప్రశ్న 10

In a method-of-joints calculation, every unknown member force is initially assumed to act away from the isolated joint. After solving the equilibrium equations, one member force is obtained as -18 kN. How should it be interpreted?

A 18 kN compression B 18 kN tension C 18 kN shear D The member is necessarily a zero-force member

Question 11 ప్రశ్న 11

A triangular truss has joints A(0,0), B(4,0) and C(2,3) in metres. Members are AB, AC and BC. A is a pin support, B is a roller providing only a vertical reaction, and a 12 kN downward load acts at C. What are the support reactions?

A Ax = 0, Ay = 6 kN upward and By = 6 kN upward B Ax = 0, Ay = 4 kN upward and By = 8 kN upward C Ax = 6 kN right, Ay = 3 kN upward and By = 9 kN upward D Ax = 0, Ay = 12 kN upward and By = 0

Question 12 ప్రశ్న 12

A triangular truss has joints A(0,0), B(4,0) and C(2,3) in metres, with members AB, AC and BC. A is pinned, B is a vertical roller, and a 12 kN downward load acts at C. What are the forces in the two inclined members AC and BC?

A 7.21 kN compression in each B 7.21 kN tension in each C 6.00 kN compression in each D 4.00 kN tension in each

Question 13 ప్రశ్న 13

A triangular truss has A(0,0), B(4,0) and C(2,3) in metres, with members AB, AC and BC. A is a pin, B is a vertical roller, and a 12 kN downward load acts at C. What is the force in member AB?

A 4.00 kN tension B 4.00 kN compression C 6.00 kN tension D 7.21 kN compression

Question 14 ప్రశ్న 14

A plane truss has joints A(0,0), B(2,0), C(4,0) and D(2,3) in metres. Its members are AB, BC, AD, CD and BD. A is pinned, C is a vertical roller, and a 10 kN downward load acts at D. Which member is a zero-force member?

A BD B AD C CD D AB

Question 15 ప్రశ్న 15

A plane truss has A(0,0), B(2,0), C(4,0) and D(2,3) in metres, with members AB, BC, AD, CD and BD. A is pinned, C is a vertical roller, and a 10 kN downward load acts at D. Which set of member forces is correct?

A AD = CD = 6.01 kN compression, AB = BC = 3.33 kN tension, BD = 0 B AD = CD = 6.01 kN tension, AB = BC = 3.33 kN compression, BD = 0 C AD = CD = 5.00 kN compression, AB = BC = 5.00 kN tension, BD = 10 kN tension D AD = CD = 10.00 kN compression, AB = BC = 0, BD = 5.00 kN tension

Question 16 ప్రశ్న 16

A plane truss has joints A(0,0), B(3,0), C(6,0) and D(3,4) in metres. Members are AB, BC, AD, CD and BD. A is a pin support, C is a vertical roller, and joint D carries a 6 kN horizontal load to the right together with a 20 kN downward load. What are the support reactions?

A Ax = 6 kN left, Ay = 6 kN upward and Cy = 14 kN upward B Ax = 6 kN right, Ay = 10 kN upward and Cy = 10 kN upward C Ax = 0, Ay = 6 kN upward and Cy = 14 kN upward D Ax = 6 kN left, Ay = 14 kN upward and Cy = 6 kN upward

Question 17 ప్రశ్న 17

A plane truss has A(0,0), B(3,0), C(6,0) and D(3,4) in metres, with members AB, BC, AD, CD and BD. A is pinned, C is a vertical roller, and D carries 6 kN to the right and 20 kN downward. What are the forces in AD, CD and BD?

A AD = 7.5 kN compression, CD = 17.5 kN compression and BD = 0 B AD = 7.5 kN tension, CD = 17.5 kN compression and BD = 10 kN tension C AD = 17.5 kN compression, CD = 7.5 kN compression and BD = 0 D AD = 6 kN compression, CD = 14 kN compression and BD = 20 kN tension

Question 18 ప్రశ్న 18

A plane truss has A(0,0), B(3,0), C(6,0) and D(3,4) in metres. Members are AB, BC, AD, CD and BD. A is pinned, C is a vertical roller, and D carries 6 kN rightward and 20 kN downward. What are the axial forces in AB and BC?

A AB = BC = 10.5 kN tension B AB = BC = 10.5 kN compression C AB = 4.5 kN tension and BC = 10.5 kN tension D AB = 10.5 kN compression and BC = 4.5 kN tension

Question 19 ప్రశ్న 19

A determinate truss has joints A(0,0), B(4,0), C(8,0), D(2,3) and E(6,3) in metres. Its members are AB, BC, AD, DB, BE, EC and DE. A is a pin, C is a vertical roller, and downward loads of 10 kN and 20 kN act at D and E respectively. What are the vertical support reactions?

A Ay = 12.5 kN and Cy = 17.5 kN B Ay = 15 kN and Cy = 15 kN C Ay = 10 kN and Cy = 20 kN D Ay = 17.5 kN and Cy = 12.5 kN

Question 20 ప్రశ్న 20

A determinate truss has A(0,0), B(4,0), C(8,0), D(2,3) and E(6,3) in metres, with members AB, BC, AD, DB, BE, EC and DE. A is pinned, C is a vertical roller, and 10 kN and 20 kN downward loads act at D and E. A section cuts members AB, DB and DE, and the left portion containing A and D is considered. What is the force in member DE?

A 10 kN compression B 10 kN tension C 20 kN compression D 12.5 kN tension

Question 21 ప్రశ్న 21

A determinate truss has A(0,0), B(4,0), C(8,0), D(2,3) and E(6,3) in metres. Members are AB, BC, AD, DB, BE, EC and DE. A is a pin, C is a vertical roller, and downward loads of 10 kN at D and 20 kN at E are applied. What are the forces in bottom-chord members AB and BC?

A AB = 8.33 kN tension and BC = 11.67 kN tension B AB = 8.33 kN compression and BC = 11.67 kN compression C AB = 11.67 kN tension and BC = 8.33 kN tension D AB = 12.5 kN tension and BC = 17.5 kN tension

Question 22 ప్రశ్న 22

A determinate truss has A(0,0), B(4,0), C(8,0), D(2,3) and E(6,3) in metres. Its members are AB, BC, AD, DB, BE, EC and DE. A is pinned, C is a vertical roller, and downward loads of 10 kN at D and 20 kN at E act on the truss. Which pair correctly gives the forces in diagonal members DB and BE?

A DB = 3.00 kN tension and BE = 3.00 kN compression B DB = 3.00 kN compression and BE = 3.00 kN tension C DB = BE = 10 kN tension D DB = BE = 0

Question 23 ప్రశ్న 23

A determinate truss has joints A(0,0), B(4,0), C(8,0), D(0,3), E(4,3) and F(8,3) in metres. Members are AB, BC, DE, EF, AD, BE, CF, DB and BF. A is a pin, C is a vertical roller, and downward loads of 12 kN at E and 8 kN at F are applied. What is the force in diagonal member DB?

A 10 kN tension B 10 kN compression C 8 kN tension D 6 kN compression

Question 24 ప్రశ్న 24

A triangular truss has joints A(0,0), B(6,0) and C(2,3) in metres. Members are AB, AC and BC. A is a pin support, B is a vertical roller, and a 15 kN downward load acts at C. What are the support reactions?

A Ax = 0, Ay = 10 kN upward and By = 5 kN upward B Ax = 0, Ay = 7.5 kN upward and By = 7.5 kN upward C Ax = 5 kN left, Ay = 10 kN upward and By = 5 kN upward D Ax = 0, Ay = 5 kN upward and By = 10 kN upward

Question 25 ప్రశ్న 25

A triangular truss has A(0,0), B(6,0) and C(2,3) in metres, with members AB, AC and BC. A is pinned, B is a vertical roller, and a 15 kN downward load acts at C. Which set of member forces is correct?

A AC = 12.02 kN compression, BC = 8.33 kN compression and AB = 6.67 kN tension B AC = 12.02 kN tension, BC = 8.33 kN tension and AB = 6.67 kN compression C AC = BC = 10 kN compression and AB = 5 kN tension D AC = 8.33 kN compression, BC = 12.02 kN compression and AB = 6.67 kN compression

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