![EN2306 length L and height L/8. A uniformly distributed load of p per unit lenath is applied along the entire length ABC and a point load of pl is applied at B. The arch has a parabolic shape with Q1. Figure 1 shows a two-pinned arch ABC of uniform flexural rigidity E 2L (a) Use the methods of statics to find the vertical reactions at the [4 marks) supports A and C Use energy methods to find the horizontal reactions at A and C. [15 marks] Hence find the axial thrust, the shear force and the bending [6 marks] (b) (c) moment at B. pL L/8 L/2 L/2 Figure 1 25 marks]](http://img.homeworklib.com/questions/8fbd0dd0-868e-11eb-88d4-71bb4ddb39c8.png?x-oss-process=image/resize,w_560)
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EN2306 length L and height L/8. A uniformly distributed load of p per unit lenath is...
I need the solution please. The answers for these questions are: HA =63.66kN Maximum hogging =166.9kNm ( occurs at =32.4...
I need the solution please. The answers for these questions
are:
HA =63.66kN
Maximum hogging =166.9kNm ( occurs at =32.48 degrees to
horizontal)
Max sagging moment = -327.1kNm at mid span
Point of contraflexure at =64.96
degrees
We were unable to transcribe this imageWe were unable to transcribe this imageQuestion 2 (25 marks) The semi-circular two-pinned arch ABC shown in Figure Q2 is pinned to rigid foundations at Positions A and C. The flexural rigidity (EI) of entire length, and...
7.2 A parabolic three hinged arch carries a uniformily distributed load of 30 kN/m on the...
7.2 A parabolic three hinged arch carries a uniformily distributed load of 30 kN/m on the left half of the span. It has a span of 16 m and central rise of 3 m. Determine the resultant reactions at the supports. Find the bending moment, normal thrust and radial shear at 2 m from left support. June 2010. RVCE) (Ans V180 kN, Vs60 kN, H 160 kN, NT 198.3 kN, RS- 26.11 kN)
Check My Work The continuous frame ABC has a pinned support at A, a guided support...
Check My Work The continuous frame ABC has a pinned support at A, a guided support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length 1 and flexural rigidity EI. A horizontal force Pacts at midheight of member AB MC Find all reactions of the frame. (a) Enter VA (b) Enter HA C) Enter Ho (d) What is the largest bending moment Mmax in the frame? (Note: Disregard axial deformations in...
The simply supported beam of length L is subjected to uniformly distributed load of w and...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load...
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure QI (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which is...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
A simple beam AB supports a concentrated load P acting at distances a and b from...
A simple beam AB supports a concentrated load P acting at distances a and b from the left-hand and right-hand supports, respectively (Fig. 9-12a). Determine the equations of the deflection curve, the angles of rota- tion a and at the supports, the maximum deflection 9mx, and the deflection &c at the midpoint C of the beam (Fig. 9-12b). (Note: The beam has length L and constant flexural rigidity El.) Fig. 9-12 Example 9-3: Deflections of a simple beam with a...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
I need the solution please. The answers for these questions
are:
HA =63.66kN
Maximum hogging =166.9kNm ( occurs at =32.48 degrees to
horizontal)
Max sagging moment = -327.1kNm at mid span
Point of contraflexure at =64.96
degrees
We were unable to transcribe this imageWe were unable to transcribe this imageQuestion 2 (25 marks) The semi-circular two-pinned arch ABC shown in Figure Q2 is pinned to rigid foundations at Positions A and C. The flexural rigidity (EI) of entire length, and...
7.2 A parabolic three hinged arch carries a uniformily distributed load of 30 kN/m on the left half of the span. It has a span of 16 m and central rise of 3 m. Determine the resultant reactions at the supports. Find the bending moment, normal thrust and radial shear at 2 m from left support. June 2010. RVCE) (Ans V180 kN, Vs60 kN, H 160 kN, NT 198.3 kN, RS- 26.11 kN)
Check My Work The continuous frame ABC has a pinned support at A, a guided support at C, and a rigid corner connection at B (see figure). Members AB and BC each have length 1 and flexural rigidity EI. A horizontal force Pacts at midheight of member AB MC Find all reactions of the frame. (a) Enter VA (b) Enter HA C) Enter Ho (d) What is the largest bending moment Mmax in the frame? (Note: Disregard axial deformations in...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure QI (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which is...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
A simple beam AB supports a concentrated load P acting at distances a and b from the left-hand and right-hand supports, respectively (Fig. 9-12a). Determine the equations of the deflection curve, the angles of rota- tion a and at the supports, the maximum deflection 9mx, and the deflection &c at the midpoint C of the beam (Fig. 9-12b). (Note: The beam has length L and constant flexural rigidity El.) Fig. 9-12 Example 9-3: Deflections of a simple beam with a...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
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