Influence Line for Beams. a. For the beam shown in Figure 3 C 1. Draw the influence for shear at D; 2. Draw the influence line for bending moment at A; 3. Draw the influence line for bending moment at D: 5m A 4 m Figure 3 D 6 m B
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- PLATE # 3 CALCULATE Oo AND Yo OF THE BEAM LOADED AS SHOWN USING CONJU GATE BEAM METHOD 5KN/m 20KN 30 KN M 2m 2m 2m 2m Im 21 E CONSTANTDeflection of Beams Use Conjugate Beam Method Given: X - 274 у-74 а-8 b - 4 C- 9 Y kN X kN 2m 1 F 2m B 10 + B 1. What is the reaction at A? (kN) 2. What is the reaction at B? (kN) 3. What is the deflection at a point 2 m from A? (N/m³)/EI 4. What is the deflection at a point 2 m from B? (N/m³)/EI 5. What is the slope at a point 2 m from A? (N/m²)/EI 6. What is the slope at a point 2 m from B? (N/m²)/EI 7. At what distance from A will the maximum deflection of the beam occur? (m) 8. What is the maximum deflection on the beam? (N/m³)/EI3. Determinethe deflection at the midspanof the continuous beam shownby using Three MomentEquation 30 KN/m A D В - 10 m 10 m -10 m E = constant E = 200 GPa I = 700 (106) mm4
- Questions kasainta05h_chp16.17m What is the fixed end moment FEMAB for the beam with a settlement of 25 mm at support C? 20 kN/m 60 kN 5. E D -8 m+am+4m 7. -8 m El - constant E= 70 GPa /= 800 (10) mm 10. O 713 kN-m O0.1913 N-m O 230.0 N-m O a 106 7AN-m3. Find the value of Ely at the position midway between the supports and at the overhanging end for the beam shown and also determine the location of maximum deflection. 400N/m boON 1m 3m 2m 2m Det the mid support deflectuon + the deflection if E = 200 G Pa M2 HWT I: 1350 x 10° mm4 12:00 T0on - FRI 12 noom 5ON 100 N /m b) EI 8 mid span = ? El 8 over hangDvestion 2: For the u sing beam shown determine the slope point c and des techon at MomenH Aria Metho d. 100 KN. m 25 KN/m 1SOKN EI > constant E = 200 Gpa 4m 4m 202 L10*) mm4 CS Scanned with CamScanner
- 2) The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb. a) Locate the neutral axis and compute the moment of inertia for the cross-section in in*. [Ans. to check: 1 = 197.7 in¹] b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to Check: Qtop = 31.2 in³] c) Compute the shear flow occurring between the wood and the nails at each of the two connection interfaces in lb/in. [Ans. to Check: qbottom = 49.0 lb/in] d) Design the section by choosing the required shear strength of the nails (in lb). Check both interfaces but choose only one assuming you would like to use the same nails for the entire beam. [Ans. to check: 75 lb…Deflection of Beams Use Conjugate Beam Method Given: X - 274 у-74 а-8 b - 4 C- 9 Y kN/m 10 m 9. What is the reaction at A? (kN) 10. What is the deflection at a point 2 m from A? (N/m³)/EI 11. What is the deflection at a point 2 m from B? (N/m³)/EI 12. What is the slope at a point 2 m from A? (N/m²)/EI 13. What is the slope at a point 2 m from B? (N/m²)/EI 14. At what distance from A will the maximum deflection of the beam occur? (m) 15. What is the maximum deflection on the beam? (N/m³)/EIDetermine the required magnitude of the couple moments M2 & M3 and so that the resultant couple moment of the system shown in Figure Q6 is 052 N.m? M2 45° M3 M = 300 N-m w] TOSHIBA F5 F6 F7 F8 F9 F10 F11 F12 INS SCROLL L &.
- Problem 3 Analyze the simply supported beam loaded and supported as shown: 1200 N 800 N В AA 2m 2 m 1 m Question 9 Determine the deflection at the point of application of the concentrated load. Ans.: ElS = Blank 1 N.m? Blank 1 Add your answer Question 10 Determine the location of the maximum deflection from the roller support along the beam. Ans.: Blank 1 m Blank 1 Add your answer Question 11 Determine the angle of rotation at the point of application of the moment. Ans.: El0 = Blank 1 N.m? Blank 1 Add your answer7. A steel bar of 25 mm diameter is acted upon by forces as shown in Fig-2. What is the elongation of the bar? Take E - 190 GPa. 60 kN4 A A ا 20KN B C 30 kN B C -2m-1m 3m 2* Figure-2 D D 50 KNProblem 1. A compound beam shown in the figure is fixed at point A, connection at B is a pin and C is a roller. ски/т 8KN.m B 6m 4.5m 3. Calculate the reaction at C a. 7.3kN O b. 4.78kN c. 1.78kN d. 10.56kN