Test 33 - Arches - TeluguBoard

Question 1 ప్రశ్న 1

Which statement best describes structural arch action under transverse loading?

A An arch develops horizontal thrust and can carry a substantial part of the loading through compression, thereby reducing bending compared with a corresponding beam. B An arch is defined only by having a curved geometric shape, even if it develops no horizontal reaction. C An arch carries transverse loading entirely through pure bending without axial force. D Horizontal reactions cannot occur at the supports of an arch.

Question 2 ప్రశ్న 2

Which statement correctly compares ideal three-hinged and two-hinged plane arches?

A A three-hinged arch is statically determinate, while a two-hinged arch is generally statically indeterminate to degree one. B Both are always statically determinate. C A two-hinged arch is statically determinate, while a three-hinged arch is indeterminate to degree one. D Both are statically indeterminate to degree three.

Question 3 ప్రశ్న 3

A three-hinged arch has supports A and B at the same elevation and is subjected only to vertical external loads. How do its vertical support reactions compare with those of a simply supported beam of the same span carrying the same vertical loads?

A They are the same. B Each vertical reaction is always twice the corresponding beam reaction. C They are zero because the arch carries only horizontal thrust. D They depend only on the arch rise and not on load position.

Question 4 ప్రశ్న 4

For a three-hinged arch with supports at the same level, let M0 be the bending moment at a section of the corresponding simply supported beam under the same vertical loads. If H is the horizontal thrust and y is the vertical ordinate of the arch above the support chord, which expression gives the arch bending moment when sagging moment is positive?

A M = M0 - Hy B M = M0 + Hy for every section C M = Hy/M0 D M = H + M0y

Question 5 ప్రశ్న 5

A symmetric parabolic arch has span L, rise h at midspan, and supports on the same horizontal chord. Taking x from the left support, which equation gives its centre-line ordinate y?

A y = 4hx(L-x)/L² B y = hx/L C y = 4h(L-x)/L D y = h[1 - x(L-x)/L²]

Question 6 ప్రశ్న 6

A symmetric three-hinged parabolic arch of span L and rise h carries a UDL of intensity w over the complete horizontal span. What is the horizontal thrust?

A H = wL²/(8h) B H = wL/(8h) C H = 8wh/L² D H = wL²/(4h)

Question 7 ప్రశ్న 7

A symmetric three-hinged parabolic arch has span 20 m and rise 5 m. It carries a UDL of 10 kN/m over the full horizontal span. What are the vertical reactions and horizontal thrust?

A VA = VB = 100 kN and H = 100 kN B VA = VB = 50 kN and H = 100 kN C VA = VB = 100 kN and H = 50 kN D VA = VB = 200 kN and H = 100 kN

Question 8 ప్రశ్న 8

For the parabolic three-hinged arch in the previous question, what is the bending moment at the section x = 5 m from the left support?

A 0 kN·m B 125 kN·m sagging C 250 kN·m sagging D 375 kN·m hogging

Question 9 ప్రశ్న 9

For the same 20 m span, 5 m rise parabolic arch under 10 kN/m over the complete span, consider the section x = 5 m. The tangent there has tanθ = 0.5, and the beam-equivalent vertical shear is V = 50 kN. Using compression-positive normal thrust N = H cosθ + V sinθ and radial shear Q = V cosθ - H sinθ, what are N and Q approximately?

A N = 111.8 kN compression and Q = 0 B N = 100 kN compression and Q = 50 kN C N = 50 kN compression and Q = 100 kN D N = 111.8 kN tension and Q = 50 kN

Question 10 ప్రశ్న 10

The span and full-span UDL on a symmetric three-hinged parabolic arch remain unchanged, but its rise is doubled from 5 m to 10 m. If the original horizontal thrust was 100 kN, what is the new horizontal thrust?

A 25 kN B 50 kN C 100 kN D 200 kN

Question 11 ప్రశ్న 11

A symmetric three-hinged parabolic arch has span 24 m and rise 6 m, with a crown hinge at midspan. An 80 kN vertical point load acts 6 m from the left support A. What are VA, VB and the horizontal thrust H?

A VA = 60 kN, VB = 20 kN and H = 40 kN B VA = 40 kN, VB = 40 kN and H = 60 kN C VA = 20 kN, VB = 60 kN and H = 40 kN D VA = 60 kN, VB = 20 kN and H = 80 kN

Question 12 ప్రశ్న 12

For the 24 m span, 6 m rise parabolic arch carrying the 80 kN point load 6 m from A, what is the bending moment at x = 4 m? Take sagging moment as positive.

A +106.7 kN·m B 0 kN·m C -60.0 kN·m D +240.0 kN·m

Question 13 ప్రశ్న 13

For the same arch and loading, what is the bending moment at x = 18 m from support A?

A +60 kN·m B 0 kN·m C -60 kN·m D -180 kN·m

Question 14 ప్రశ్న 14

A symmetric three-hinged parabolic arch has span 20 m and rise 5 m. A 100 kN vertical point load acts at the crown hinge. What are the vertical reactions and horizontal thrust?

A VA = VB = 50 kN and H = 100 kN B VA = VB = 100 kN and H = 50 kN C VA = VB = 50 kN and H = 50 kN D VA = 100 kN, VB = 0 and H = 100 kN

Question 15 ప్రశ్న 15

For the 20 m span, 5 m rise parabolic arch carrying a 100 kN point load at the crown, where does the maximum negative bending moment occur and what is its value? Use M = M0 - Hy with sagging positive.

A At x = 5 m and x = 15 m; M = -125 kN·m B At the crown only; M = -500 kN·m C At both supports; M = -125 kN·m D At x = 2.5 m and x = 17.5 m; M = -250 kN·m

Question 16 ప్రశ్న 16

A three-hinged semicircular arch has span 20 m, radius 10 m and crown rise 10 m. It carries a UDL of 10 kN/m over the complete horizontal span. What are the horizontal thrust and the bending moment at x = 5 m from the left support approximately?

A H = 50 kN and M = -58.0 kN·m B H = 100 kN and M = 0 C H = 50 kN and M = +375 kN·m D H = 100 kN and M = -58.0 kN·m

Question 17 ప్రశ్న 17

For a three-hinged arch to be funicular for a specified system of vertical loads, the bending moment must vanish throughout. If the corresponding simply supported beam moment at a particular section is M0 = 300 kN·m and the horizontal thrust is H = 75 kN, what arch ordinate y is required there?

A 2 m B 3 m C 4 m D 5 m

Question 18 ప్రశ్న 18

At a section of an arch, the horizontal thrust is H = 30 kN and the beam-equivalent vertical shear is V = 40 kN. The tangent to the arch rises to the right at θ = 36.87 degrees, for which cosθ = 0.8 and sinθ = 0.6. Using N = H cosθ + V sinθ and Q = V cosθ - H sinθ, what are the normal thrust and radial shear?

A N = 48 kN compression and Q = 14 kN B N = 42 kN compression and Q = 32 kN C N = 14 kN compression and Q = 48 kN D N = 48 kN tension and Q = 50 kN

Question 19 ప్రశ్న 19

At the crown of a symmetric arch, the tangent is horizontal. If the horizontal thrust is H = 80 kN and the beam-equivalent vertical shear at the considered side of the crown is V = 20 kN, what are the local normal thrust and radial shear using N = H cosθ + V sinθ and Q = V cosθ - H sinθ?

A N = 80 kN compression and Q = 20 kN B N = 20 kN compression and Q = 80 kN C N = 100 kN compression and Q = 0 D N = 80 kN compression and Q = 0 for every loading case

Question 20 ప్రశ్న 20

An ideal two-hinged plane arch has a hinge at each support but no internal crown hinge. What is its usual degree of static indeterminacy in the plane?

A Zero B One C Two D Three

Question 21 ప్రశ్న 21

In the usual force-method analysis of an unloaded-settlement-free two-hinged arch, the horizontal thrust H is selected as the redundant. If bending deformation is the only deformation retained, which compatibility condition is used?

A The relative horizontal displacement between the two hinges is zero, equivalently ∂U/∂H = 0. B The bending moment at the crown must always be zero. C The vertical reaction at each support must be zero. D The rotation at both hinges must be zero.

Question 22 ప్రశ్న 22

A two-hinged parabolic arch has span 30 m and rise 6 m and carries a UDL of 8 kN/m over the full horizontal span. In the standard bending-only analysis with constant EI and axial deformation neglected, what horizontal thrust is obtained and what is the corresponding bending moment distribution?

A H = 150 kN and the bending moment is zero throughout the arch. B H = 75 kN and the bending moment is constant throughout. C H = 300 kN and the crown moment alone is zero. D H = 150 kN and the bending moment equals that of a simply supported beam.

Question 23 ప్రశ్న 23

Which statement correctly distinguishes the ideal response of three-hinged and two-hinged arches to a uniform temperature change?

A A three-hinged arch can accommodate the uniform thermal deformation without secondary thermal stresses in the ideal determinate model, whereas a two-hinged arch can develop a temperature-induced horizontal reaction because of compatibility restraint. B A two-hinged arch is always free of thermal effects because it has fewer hinges. C A three-hinged arch necessarily develops a larger thermal horizontal thrust than a two-hinged arch. D Uniform temperature change cannot influence any arch because hinges remove all restraint.

Question 24 ప్రశ్న 24

Consider the following statements about arches:
1. A three-hinged arch is statically determinate.
2. A two-hinged arch is generally statically indeterminate to degree one.
3. A parabolic arch is funicular for a UDL uniformly distributed over the full horizontal span under the standard ideal assumptions.
4. A circular three-hinged arch under the same horizontal UDL necessarily has zero bending moment at every section.

Which statements are correct?

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

Question 25 ప్రశ్న 25

Match each arch-analysis concept with its correct relationship or description:
1. Three-hinged arch bending moment at ordinate y
2. Symmetric parabolic three-hinged arch under full-span UDL
3. Funicular or linear arch condition
4. Two-hinged arch horizontal thrust

P. Determined from deformation compatibility because it is a redundant
Q. M = M0 - Hy
R. M = 0 throughout for the loading for which the arch is funicular
S. H = wL²/(8h)

Which matching is correct?

A 1-Q, 2-S, 3-R, 4-P B 1-S, 2-Q, 3-P, 4-R C 1-R, 2-P, 3-S, 4-Q D 1-P, 2-R, 3-Q, 4-S

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