QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and...
QUESTION 2 (TOTAL 25 MARKS) A statically indeterminate frame is given in the figure below. El is constant for all members. Determine the member end moments of the frame using the moment distribution method. 5 kN/m BETTI 2. m mun. 10KN 2 m 8 m Note: The frame can be classified as a frame with sidesway. Stiffness factors 4EI. for a standard member for a member with a pin/roller end A table for fixed-end moments is given at the end...
question about mechanics of materials i Question 3 Draw the shear force and bending moment diagrams for a plane frame ABCDE as shown in Figure Q3. D is a pinned connection. frame ABCDE as plane (20 marks) 100kN 3m 10kN/m 3m 3m 3m Figure Q3 i Question 3 Draw the shear force and bending moment diagrams for a plane frame ABCDE as shown in Figure Q3. D is a pinned connection. frame ABCDE as plane (20 marks) 100kN 3m 10kN/m...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
1. Determine the maximum load P the frame in Figure 1 can support without member AB to buckle elastically. Assume that AB is made of steel and is pinned at its ends for x-r-axis buckling and fixed at its ends for y-y axis buckling. E - 200 GPa. 50 mm 4 m 50 mm 50 mm Figure 1
The beam is loaded as shown in the diagram below. The beam is uniformly loaded at 3 kN/m for the length of 4 m from B. The beam also has two point loads, 4 KN at 2 m from A and 3 KN at 3 m from B. 2 KN 3 KN 3KN/m A 2 m 2 m 11 m 3 m Fig. Q2 Draw a shear force and bending moment diagram. Also determine the location of maximum bending moment...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
Determine the maximum load P the frame can support without buckling member AB. Assume that AB is made of steel and is pinned at its ends. Est - 200 GPa, , 360 MPa. 50 mm 50 mm 4 m 50 mm Determine the maximum load P the frame can support without buckling member AB. Assume that AB is made of steel and is pinned at its ends. Est - 200 GPa, , 360 MPa. 50 mm 50 mm 4 m...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P at point C. If the beam has a radius ofr 50 mm, length L = 4 m, and load P 5 kN and E= 200 GPa (a) Draw the free body, shear force, bending moment and torque diagrams for both sections of the member (4 Marks) (b) What is the maximum bending stress induced in the member? (3 Marks) (c) What is the maximum...