Q2 The portal frame carries vertical and horizontal forces as shown in the figure below. If Mp is equal to 80 kNm deter...
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...
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...
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)...
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...
A two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E, and a concentrated couple of 350 kNm acting clockwise is applied at C as shown in Figure Q3. All members of the portal frame are made from the same steel section. 350 kNm 6 m EI CONSTANT FOR ALL MEMBERS 6 m 4 m Fgure Q3 Determine, using methods incorporating strain energy where appropriate. the magnitude and direction of the vertical and horizontal reactions...
A frame structure resists a horizontal load and vertical load as shown in figure below. If the load factor is given 1.5, use the kinematic method to determine the plastic moment of the frame. Show the following collapse mechanism:- 51 a)Beam mechanism (10 marks) 2.5m b)Panel mechanism (10 marks) 10 B C 7m D A 5m
Find all the reaction forces Ax, Ay,Dx,Dy Problem 1 The frame shown in the figure has two pin supports at points A and D. Two point loads P1 = P2 = 4 kN and a uniformly distributed load W = 10 kN/m are applied to the frame as shown. The horizontal reaction at support A is -1.037 kN. Note: A positive value here indicates a reaction force pointing to the right, and a negative value one pointing to the left....
Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H = 1.4 m, H2 = 2.1 m, and L = 1.5 m The applied force P = 18 kN acts at the midpoint of BC, and the distributed load has intensity w = 1.4 kN/m Part C...
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.,...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...