Q.3 A simply-supported prestressed concrete beam ABCDE is pinned at support A and supported on a roller at E, as shown in Figure Q.3. (a) Draw the Influence Lines for (i) the vertical reaction Va at support A, (ii) the vertical reaction VE at support E, (iii) the shear force FyB at point B, (iv) the bending moment Mg at point B. (b) Using these Influence Lines, determine the values of Va, Ve, FvB and MB when the beam is loaded as indicated with three point loads at points B, C and D and a distributed load between points B and C. (c) Using these Influence Lines, determine the maximum values for Va, VE, FVB and MB when the total uniformly distributed load of 240 kN over a 4.0 m length and the single point load of 100 kN traverse across the prestressed concrete beam independently. 80 kN 100 kN 80 kN 60 kN/m A B D E НА VA VE 4.0 m 4.0 m 4.0 m 4.0 m 16.0 m Figure Q.3
Q.3 A simply-supported prestressed concrete beam ABCDE is pinned at support A and supported on a roller at E, as shown in Figure Q.3. (a) Draw the Influence Lines for (i) the vertical reaction Va at support A, (ii) the vertical reaction VE at support E, (iii) the shear force FyB at point B, (iv) the bending moment Mg at point B. (b) Using these Influence Lines, determine the values of Va, Ve, FvB and MB when the beam is loaded as indicated with three point loads at points B, C and D and a distributed load between points B and C. (c) Using these Influence Lines, determine the maximum values for Va, VE, FVB and MB when the total uniformly distributed load of 240 kN over a 4.0 m length and the single point load of 100 kN traverse across the prestressed concrete beam independently. 80 kN 100 kN 80 kN 60 kN/m A B D E НА VA VE 4.0 m 4.0 m 4.0 m 4.0 m 16.0 m Figure Q.3
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q.3 A simply-supported prestressed concrete beam ABCDE is pinned at
support A and supported on a roller at E, as shown in Figure Q.3.
(a) Draw the Influence Lines for
(i) the vertical reaction Va at support A,
(ii) the vertical reaction VE at support E,
(iii) the shear force FyB at point B,
(iv) the bending moment Mg at point B.
(b) Using these Influence Lines, determine the values of VA, VE, Fy,B and
MB when the beam is loaded as indicated with three point loads at
points B, C and D and a distributed load between points B and C.
(c) Using these Influence Lines, determine the maximum values for VA,
VE, FVB and Ms when the total uniformly distributed load of 240 kN
over a 4.0 m length and the single point load of 100 kN traverse
across the prestressed concrete beam independently.
80 kN
100 kN
80 kN
60 kN/m
A
D
E
HA
4.0 m
4.0 m
4.0 m
4.0 m
16.0 m
Figure Q.3
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