A frame structure resists a horizontal load and vertical load as shown in figure below. If...
Im mostly interested in question C but you might need the other questions to get the answers 4. Consider the portal frame illustrated in Figure 04. The frame is subjected to two point loads as shown. The two vertical members have a plastic moment capacity 2.M, while the horizontal member has a plastic moment capacity M,. Use the Virtual Work Method to answer the following questions: (a) Identify all collapse mechanisms and calculate their corresponding load combinations. 10 marks) (b)...
uestion 2 Consider the portal frame of Figure 2 having unequal beam and columns (Mu- 240kNm for the columns, Mu-720kNm for the girder), and carrying a horizontal load 40λ (kN) and a vertical load 60λ (KN). a) Find all possible "simple" and "combined" collapse mechanisms for the considered external loads. b) Find the loading factor you have identified. corresponding to the collapse loads of the various mechanisms c) Which of the collapse mechanisms you have found in a) is the...
Q2 The portal frame carries vertical and horizontal forces as shown in the figure below. If Mp is equal to 80 kNm determine the upper and the lower load factors against collapse. Consider at least 2 combined mechanisms. 30 kN/m 2 m 3 m 100 kN 2M 2 m 2 m Q2 The portal frame carries vertical and horizontal forces as shown in the figure below. If Mp is equal to 80 kNm determine the upper and the lower load...
A mild steel frame ABCD, in Figure 3, is supported on rollers at A and C, and is rigidly fixed at D. It carries a collapse load of 200λ kN acting at an angle of 45° to the horizontal at point E in span AB, The plastic moment of resistance of members AB and BD 250 kNm and that of BC 125 KNm. Using plastic theory, calculate: (a) The collapse load factor of the frame. (b) The reactions and bending...
Question 3 [40 MARKS] A steel frame ABCDE, in Figure 3, is supported on rollers at A, and is rigidly fixed at E. It carries a collapse load of 1002 kN acting at B and D. The plastic moment of resistance of members AC = 200 kNm and that of CE = 100 kNm. Using plastic theory, calculate: (a) The collapse load factor of the frame. (b) The reactions and bending moment diagram of the frame at collapse. 100 г...
uestion 1 Consider the portal frames of Figure 1 having unequal beam and columns, and carrying horizontal and vertical loads, a) Find all possible "simple" and "combined" collapse mechanisms for the considered external loads. Make sure that you draw the plastic hinges at the correct location. b) Find the collapse load Pc corresponding to the various mechanisms you have identified. c) Which of the collapse mechanisms you have found in a) is the "true" one? Why? l/2 l/2 2W 2P...
Question 5 The unsymmetrical frame shown below in figure is having both bases pinned as shown. The beam has a plastic moment Mp. Sketch the possible mode of failure and determine the magnitude of the force P for plastic collapse of the frame. Use both Equilibrium and Energy methods. h2 Question 5 The unsymmetrical frame shown below in figure is having both bases pinned as shown. The beam has a plastic moment Mp. Sketch the possible mode of failure 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 3 5 pts For the frame shown below, the height is 11m and the horizontal span BC is 7m. El is constant for all spans; A and D are pinned. Ignore sidesway. PLease use Moment Distribution Method to calculate the bending moment at B to the A side (MBA) 38kN/m С B 31kN/m 11m A 7m MBAS
The single-story unbraced frame shown below is subjected to dead load, roof live load, and wind load Figure 1 shows the results of a first-order analysis relative to the columns of the frame. The axial load and end moment (also equal to the maximum moment in the column) are given separately for the different load cases (i.e., dead load, roof live load, and lateral wind load). All vertical loads are symmetrically placed and contribute only to the Mnt moments (i.e.,...