Question 1 Bar 1 1 m Horo C gog(0) 90° Bar 2 = 10 kN in (A) 1m Figure 1: Truss assembly formed of two bars Figure 1 shows a truss structure consisting of two bars of 1 m in length, cross-sectional area A = 5∙10−4 m² and modulus of elasticity E = 200GPa. Nodes 1 and 2 are held fixed, and a force of 10 kN is applied in the x-direction at node 3. 45° a) Form the local and global stiffness matrices, apply the boundary conditions and find the displace- ments of the nodes for the given force. Use the following formula relating the local displacements of a single bar to the local forces applied to its nodes. 2 fix C² CS -C²-CS] Ui AE fiy CS S² 图 []&&&式] -CS -S² Vi fjx L - C² -CS C2 CS U j fjy -CS -S² CS S2 Vj X joro A in the har (1)

Question 1 Bar 1 1 m Horo C gog(0) 90° Bar 2 = 10 kN in (A) 1m Figure 1: Truss assembly formed of two bars Figure 1 shows a truss structure consisting of two bars of 1 m in length, cross-sectional area A = 5∙10−4 m² and modulus of elasticity E = 200GPa. Nodes 1 and 2 are held fixed, and a force of 10 kN is applied in the x-direction at node 3. 45° a) Form the local and global stiffness matrices, apply the boundary conditions and find the displace- ments of the nodes for the given force. Use the following formula relating the local displacements of a single bar to the local forces applied to its nodes. 2 fix C² CS -C²-CS] Ui AE fiy CS S² 图 []&&&式] -CS -S² Vi fjx L - C² -CS C2 CS U j fjy -CS -S² CS S2 Vj X joro A in the har (1)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Question 1 Bar 1 1 m 1 90° fix fiy fjx fjy Here C = cos(0) and S Bar 2 = 10 kN 1m 45° Figure 1: Truss assembly formed of two bars = Figure 1 shows a truss structure consisting of two bars of 1 m in length, cross-sectional area A 5.10-4 m² and modulus of elasticity E 200GPa. Nodes 1 and 2 are held fixed, and a force of 10 kN is applied in the x-direction at node 3. AE CS L 2 a) Form the local and global stiffness matrices, apply the boundary conditions and find the displace- ments of the nodes for the given force. Use the following formula relating the local displacements of a single bar to the local forces applied to its nodes. y C² CS S² -C² -CS -CS -S² CS -C² -CS Ui C² -CS -S² Vi CS S² {} U j Vj sin(0), where is the angle of orientation of the bar. (1)
A new art exhibit featuring mobile works is going up in the Norwalk, CA area. One art work is shown in the figure below. A 105 N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached 3/5 from the bottom of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 7.5 N. 10 WALL FLOR (a) ( If one shoe is attached 1/7 of the way up the beam and another shoe is attached 5/8 of the way up the beam, with e, = 70.1° and e, 30.1°, what is the tension in the cable, in newtons? %3! %3D (b) What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? (c) O What is the y-component of the force, in newtons, that the pivot exerts on the bottom of the beam?
Using the method of sections, analyse the truss shown in Figure 8 below regarding forces in members ED, DF and FC. 1.5 m 10 kN- 1 m Ec 1 m D. 1 m 7777 Figure 8 /4 1/4
Activity 1. For the truss shown in the figure, determine the forces acting on members AB, AC,BC,CE by method of joints.[Ans. AB=247.88KN(C), BC=50KN(T), CE=AC=206.25KN(T)] 100 N 50N 50 N 2m H 1.5m C 1.5m E 1.5m G 50N Activity 2. Solve for the force acting on members AB, AC and BC of the Warren Truss shown using method of joint. [Ans. AB=672KN(T), AC=300KN(C), BC=672KN(C)] 400 KN 300 KN D+ 6m 6m 6m 6m 600KN 200 KN
Analyze the truss: 30 kN to G 60 kN C 4@4m 16 m 30 kN D E 2 m 2 m
5.3.4 Zero Force Members Figure H 800 N ALA F E MA 3m D -3 m 30% G B -3 m 20 1 of 2 ( 3m Figure B 2m 2 m C T 2 m < 2 of 2 D 4m 500 N 700 N Part A Identify the zero-force members in the truss shown in (Figure 1). Check all that apply. CD D BC D CE ⒸAB DE GH EF ооооооооооооо BG □ CF AG OBF FG ⒸAH Part B Identify the zero-force members in the truss shown in (Figure 2). Check all that apply. OBC FG D CF AG BG OCD DE ⒸAB D CG EF ODF ооооооооооо
A mechanism carries a constant load P applied to the seat as shown. E For the angle 8, determine the following: (a) the lengths LBE and LAB, in m (b) the angles a and $, in degrees Draw the complete FBD of (c)members AB, FG, EBH and GHI 100 175 Parameter (A= 1 B=3 C= 6 D= 2 E=0) P = 762 N 0 = 32° Note: Figures CDFE and EFGH are parallelograms. 400 800 200 LBE C cont D 150 400 175 900 150 200 Dimensions in millimeters H 150
Help me please
A new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 155-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 9.5-N. If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with θc = 16.5° and θb = 33.6° as shown in the figure, what is the tension in the cable, in newtons? What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? Use the coordinate system specified in the figure. What is the y-component of the force, in newtons, that the hinge exerts on the bottom of the beam? Use the coordinate system specified in the figure.
Consider the given structure with Pa 68 KN and Q = 55 kN 24 m 2.4 m The force in member AD is The force in member CD is The force in member AB is The force in member AC is) The force in member BC is D Q 0.7 m Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension (7) or compression (C) kN [Click to select) KN (Cick to select) KN (Cick to select) KN (Click to selecti KN (Click to select)
a) What is a truss? Explain shortly in your own words, and illustrate with one example. b) For the truss in the figure below, determine the zero-force members and give a short explanation to support your answer. B C D A H -1.5 m- G F -1.5 m 1.5 m-1.5 m-- 2 m 2 m E
PROBLEM: Determine the forces in each member using any methoddiscussed in your theory of structures/mechanics. Using Software is notallowed. Show complete solution and tabulate your answers indicatingwhether it is compression or tension. Use Pn = 205 kN, Po = Zero. a) From the Problem and the image , Design one tension member, use either a double angle of a wt section. Check its adequacy using 1 line of bolts (three bolts in a line spaced at 75mm on centers) Assume a bolt diameter from 16-22mm. Use A 36 for all steel. Neglect block shear.