Using Method of Section, determine the force in member CD, HG & DF of the loaded truss. 20'-0" 5 kips 2 kips 3 kips B C ᎠᏠ E 10'-0" G H F 3 bays @ 20'-0" = 60'-0" Please Write the Final Answer using the template below. (With Appropriate Unit) Force CD HG DF Туре
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- Universite d'Ottawa | University of Ottawa 4/4- Methods of Sections Calculate the forces induced in members KL, CL, and CB by the 20-ton load on the cantilever truss. M Méthodes des Sections. Sample Problem / Exemple (4-3) uOttawa.ca 16' HI J K AM FED C BA -6 panels at 12'- G L 26' 20 tons Calculez les forces induites dans les éléments KL, CL et CB par la charge de 20 tonnes sur la poutre en porte-à-faux. 12 u OttawaUse the method of sections to determine the forces in members BD, CD, and CE. Note: The support reactions given below were determined in lecture last week (“Example: Method of Joints"). [Ans.: Fsp = -4 kN (comp), FCD = 2.83 kN (tension), FCE = 1 kN (tension)] Cut b Some potential (3 unk.) y section lines 1 kN Cut c (cuts a, b̟ and c): (3 unk.) Cut a (4 unk.), 2 m 2/n 2 m 2 th 2 m → F=-1 kN F = 2 kN 5 kN A, = 3 kN %3D %3D Note: The length of each member is 2 m and hence 0 = tan-1(2 m/2 m) = 45° E.ENTER YOUR ANSWER THE WAY I SPECIFY HERE IN ADDITION TO DOING IT ON SCRATCH PAPER 400 N 800 N B D A E C 2 m Use the method of sections to calculate the axial force in members AC and BC. Enter your answer in the following way rounded to the nearest whole number. Example If your answer is TAC 2 N tension TBC =3.1 N compression. enter 2Tension;3Compression Enter TAC then TBC (no space)
- RN1 = 7921 round off maximum tension to the nearest whole numberP3: Determine the magnitude of the axial forces in the given truss below. Ure method of joints and check your answer by solving for the magnitude of the axial forces of DF, FC and CE using Method of Sections. 20 20 20 kNI kNI kN 5 m 80 kN ACTE G. 3 m 3 m 3 m 3 m Prenarad hM5-9 4) USE THE METHOD OF SECTIONS TO FIND THE MAGNITUDE AND DIRECTION OF THE FORCE IN MEMBER CD OF THE LOADED TRUSS SHOWN IN Fig 1.4 4000lb C -6000lb 6' G 3' 3' 3' 3"- -4000lb -3000lb -5000lb
- 3-12 5) Use the method of sections to find the true magnitude and direction in bar DB of the truss. Hint( Joint C is in equilibrium) B A 45° 4' 4' D -100 lbs FREE BODY DIAGRAM LOADED SECTION True magnitude and direction of DB by section analysisQuestion 1 (Type B) The following diagram will be referenced for all parts of this question: F₂ = 42 N -5 y 45° 4 F₁ = 30 N F₂ = 53 N a) Find the resultant force vector from adding F₁ and F3, using the parallelogram method of adding vectors. Provide Given, Find, Assume, Problem Type/Features, Force Diagrams, Calculations, and Conclusions as per the GE 123 Solution Requirements and Style Guide Winter 2024. Provide the magnitude and angle of the resultant force vector in your Conclusions. b) Find the resultant force vector from adding F₁, F2 and F3, using the triangle/trig method of adding vectors. Provide Given, Find, Assume, Force Diagrams, Calculations, and Conclusions as per the Solution Guide. Express the resultant force vector as a vector in your Conclusions with magnitude and angle.Solve the problem shown below. Each answer is worth equal credit. Show all necessary steps of your work clearly to obtain credit. Final answer must be to 3 significant figures and contain units and be in the box. Using P1= 6.0 kips, then determine the reactions and member forces of the truss. a) List reactions at A and K? (Use positive, +, to indicate a reaction that is up, to the right, and counterclockwise.) [30 pts] RAX: RAY: Rkx: Rky: b) Determine the member forces using either the method of joints or method of sections. (Include Units and the correct sign in the answer, (Use: '+'= tension, & '-' = compression) J I H G 4 ft K A -3 ft- B P1 -3 ft- C P1 -3 ft D P1 E -3 ft 3 ft- P1 P1 F FBC: FCJ: FI: FEG: FDH: FIC:
- RAY B F F₁ ROYFigure 4: Determine the bar force at FN (Answer in whole number, indicate the answer in kN. just input the value, do this for all the questions on Figure 4) Note: if the member is in compression, write a negative symbol before it, ex: 12kn in compression is answer:-12Figure 2: Given the below determine the bar force at AB. (Answer in whole number, indicate the answer in kN. just input the value, do this for all the questions on Figure 2) Note: if the member is in compression, write a negative symbol before it, ex: 12kn in compression is answer:-12