Test 31 - Moving Concentrated Loads on Beams

Question 1 ప్రశ్న 1

For a linear statically determinate beam, the influence-line ordinate for bending moment at a specified section is y metres at the position of a concentrated moving load P. What bending moment contribution does that load produce at the specified section?

A P/y B Py C P + y D P/y²

Question 2 ప్రశ్న 2

In elementary moving-load analysis of bridge or girder beams, individual wheel loads are normally idealized as:

A Concentrated loads moving along the beam while maintaining their specified spacings B Uniformly distributed loads acting over the whole span at all times C Pure moments having no vertical force D Axial loads acting through the beam centroid

Question 3 ప్రశ్న 3

A single downward concentrated load P moves across a simply supported beam AB. At which position is the reaction at support A maximum?

A At midspan B At support B C At support A D At one-quarter span from B

Question 4 ప్రశ్న 4

A simply supported beam has a span of 9 m. A single moving point load of 54 kN is located 2 m from the left support A. What are the support reactions at this instant?

A RA = 12 kN and RB = 42 kN B RA = 27 kN and RB = 27 kN C RA = 36 kN and RB = 18 kN D RA = 42 kN and RB = 12 kN

Question 5 ప్రశ్న 5

A simply supported beam has span 10 m, and section C is 4 m from support A. A 50 kN moving point load is located 7 m from A. What bending moment acts at C?

A 40 kN·m B 50 kN·m C 60 kN·m D 80 kN·m

Question 6 ప్రశ్న 6

A simply supported beam has span 10 m and section C at 4 m from support A. Define positive section shear as VC = RA minus the downward loads lying strictly to the left of C. A 50 kN point load is at x = 7 m from A. What is VC?

A +15 kN B -15 kN C +35 kN D -35 kN

Question 7 ప్రశ్న 7

A simply supported beam has span 12 m. Two concentrated loads of 20 kN and 40 kN are located 2 m and 5 m respectively from support A. What is the reaction at A?

A 30 kN B 35 kN C 40 kN D 45 kN

Question 8 ప్రశ్న 8

A pair of moving loads crosses a simply supported beam of span 12 m while maintaining a spacing of 3 m. The 20 kN load is always 3 m to the left of the 40 kN load. What is the maximum possible reaction at support A?

A 40 kN B 45 kN C 50 kN D 55 kN

Question 9 ప్రశ్న 9

For the same 12 m beam and load train in which the 20 kN load remains 3 m to the left of the 40 kN load, what is the maximum possible reaction at support B?

A 45 kN B 50 kN C 55 kN D 60 kN

Question 10 ప్రశ్న 10

A simply supported beam has span 10 m and section C at 4 m from A. A 40 kN load and a 20 kN load remain 2 m apart, with the 20 kN load always to the right of the 40 kN load. What is the maximum bending moment at C?

A 112 kN·m B 120 kN·m C 128 kN·m D 144 kN·m

Question 11 ప్రశ్న 11

For the 10 m beam and the 40 kN–20 kN load pair described in the previous question, which position produces the maximum bending moment at section C located 4 m from A?

A 20 kN at C and 40 kN 2 m to the left B 40 kN at C and 20 kN 2 m to the right C The midpoint between the two loads at C D 40 kN at midspan and 20 kN at 7 m from A

Question 12 ప్రశ్న 12

A simply supported beam has span 10 m and section C at 4 m from A. The 40 kN load is always 2 m to the left of a 20 kN load. Using VC = RA minus the loads strictly to the left of C, what is the maximum positive shear at C?

A 24 kN B 28 kN C 32 kN D 36 kN

Question 13 ప్రశ్న 13

For the same 10 m beam and 40 kN–20 kN load train, what is the maximum negative shear at section C = 4 m under the convention VC = RA minus loads to the left of C?

A -8 kN B -12 kN C -16 kN D -24 kN

Question 14 ప్రశ్న 14

A simply supported beam has span 12 m. Three moving loads of 30 kN, 50 kN and 20 kN are currently at x = 1 m, 4 m and 8 m respectively from support A. What is the reaction at A?

A 57.5 kN B 62.5 kN C 67.5 kN D 72.5 kN

Question 15 ప్రశ్న 15

A three-load train moves across a simply supported beam of span 12 m. The loads are 30 kN, 50 kN and 20 kN at relative positions 0 m, 2 m and 5 m respectively, measured from the 30 kN load toward the right. What is the maximum reaction at support A?

A 75.00 kN B 80.00 kN C 83.33 kN D 91.67 kN

Question 16 ప్రశ్న 16

A simply supported beam has span 12 m and section C at midspan. A moving load train consists of 30 kN, 50 kN and 20 kN at relative positions 0 m, 2 m and 5 m. What is the maximum bending moment at C?

A 220 kN·m B 230 kN·m C 240 kN·m D 250 kN·m

Question 17 ప్రశ్న 17

What is meant by the absolute maximum positive bending moment produced by a system of moving concentrated loads on a simply supported beam?

A The maximum moment at one preselected beam section only B The largest positive bending moment obtained considering all beam sections and all admissible positions of the moving load system C The bending moment obtained only when the centre of gravity of the loads is at a support D The sum of the individual maximum moments produced by each load acting separately

Question 18 ప్రశ్న 18

Two equal concentrated loads of 20 kN each remain 2 m apart while moving across a simply supported beam of span 10 m. What is the absolute maximum bending moment?

A 72 kN·m B 80 kN·m C 81 kN·m D 90 kN·m

Question 19 ప్రశ్న 19

When a specified group of concentrated loads is entirely on a simply supported span, which condition is used to locate a candidate absolute maximum bending moment under a particular load of the group?

A The particular load and the resultant of the loads are placed equidistant from the span centre on opposite sides. B The resultant of all loads must always be directly at a support. C The lightest load must always be placed at midspan. D All individual loads must have equal influence-line ordinates.

Question 20 ప్రశ్న 20

Two moving loads of 20 kN and 40 kN are 3 m apart on a simply supported beam of span 12 m, with the 20 kN load to the left of the 40 kN load. What is the absolute maximum bending moment produced by this two-load system?

A 140.00 kN·m B 145.00 kN·m C 151.25 kN·m D 160.00 kN·m

Question 21 ప్రశ్న 21

At one position of a moving three-load system, loads of 30 kN, 50 kN and 20 kN occupy points where the influence-line ordinates for bending moment at a specified section are respectively 1.5 m, 2.2 m and 1.1 m. What is the bending moment at the section?

A 157 kN·m B 167 kN·m C 177 kN·m D 187 kN·m

Question 22 ప్రశ్న 22

For a fixed train of positive downward concentrated loads moving across a simple span, which general placement principle is useful when searching for the maximum reaction at the left support?

A Shift the load system as far toward the left support as possible and check the critical entry positions of the loads. B Place the lightest load at midspan regardless of the remaining loads. C Place the centre of gravity of the train at the right support. D Place every load at a point where the reaction influence-line ordinate is zero.

Question 23 ప్రశ్న 23

For maximum positive and negative shear at a fixed section of a simply supported beam under a system of moving concentrated loads, which statement is generally correct?

A Critical configurations commonly occur as one of the loads crosses the section because the shear influence line has a unit jump there. B Critical shear can occur only when every load is at midspan. C The shear influence line is continuous at the section, so load crossing cannot affect the response abruptly. D The relative positions of the concentrated loads are irrelevant.

Question 24 ప్రశ్న 24

A single 80 kN point load moves across a simply supported beam of span 10 m. What is the absolute maximum bending moment produced by this load?

A 100 kN·m at quarter span B 160 kN·m at midspan C 200 kN·m at midspan D 400 kN·m at a support

Question 25 ప్రశ్న 25

Consider the following statements about moving concentrated loads on a simply supported beam:
1. A real point load contributes its magnitude multiplied by the corresponding influence-line ordinate.
2. For a single moving point load, the absolute maximum bending moment occurs at midspan.
3. For a train of concentrated loads, the load producing the absolute maximum bending moment must always be the heaviest load regardless of load spacing.
4. Extreme section shear for a moving load train should include checks with individual loads immediately on either side of the section.

Which statements are correct?

A 1 and 3 only B 1, 2 and 4 only C 2, 3 and 4 only D 1, 2, 3 and 4

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