ANSWER:
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The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned,...
Use slope-deflection method to analyze the frame shown below. Segments AB and BD of the frame have moment of inertia I. Segment BC has moment of inertia 2/. Modulus of elasticity E is constant throughout the frame. The frame is supported by fixed-supports at A and D, and by a roller-support at C. Joint B is rigid. A downward point load of 20 kN is applied at mid-span of AB. Uniformly distributed load of intensity 2 kN/m acting downwards is...
Calculate the deflection and slope at B and the deflection at D for the uniform beam (Stiffness - EI). W kN/m V V V V V V V V V V L/2 Calculate the horizontal deflection of B and the relative rotation of the hinge at B in the frame ABC (member stiffness's shown). W = 2P/L kN/m 2L 4EI L/2 PKN
The continuous beam ABCD shown in Figure Q2(a) has a flexural rigidity EI = 1000 kNm2. The beam is subjected to a concentrated load at point B and a uniform load from points C to D. (b) The beam ABCD shown in Figure Q2(b) is identical to that in Figure Q2(a), except that the roller support at point is replaced by a linear spring of stiffness K = 500 kN/m and point D settles (downwards) by 6 cm, calculate the...
For the following Beam E=200GPa I=6000 cm Use the Slope-Deflection method to determine The reaction at support Bif this support settles 55 mm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative A B С 10 m 4 m 4 m
4. Calculate the moments at A, B, C and Din Figure 4 by using Slope Deflection Method, then draw the shear force and moment diagram for the frame. Assume A is pinned, D is a roller and C is fixed. El is constant. 80 KN 20 kN/m -15 m 12 m- 12 m Figure 4 (30 marks) (CLO3: PLO2: C4)
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...
For the frame shown. use the slope-deflection method to (a) Determine the end moments of each member and reactions at supports (b) Draw the quantitative bending moment diagram. and also draw the qualitative deflected shape of the entire frame. 10 kN 12 kN/m 2EI 3 m 40 KN 3 m 6 m
USE SLOPE DEFLECTION METHOD Problem 2. Solve the internal moments at the supports for the beam shown below using slope-deflection method. Take El as constant. 20 kN/m 80 KN 9 m 3 m
Slope-Deflection method only please! Step by step Determine all reactions for the beam shown in Figure 6. El is constant. 8 kN-m 2 m 2 m Figure 6 Slope-Deflection Equations 3A + FEM 2EI 20,+0 - M AB AB 2EI 20, +0, 3A + FEM BA M BA Fixed-End Moments (4L - 3a) (6L - Bal +3k') 12 12 12
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...