Which of the following gives the axial and shear force at point A on the beam, respectively? (kN) (FIG. 1)
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- Which of the following gives the bending moment at point A on the beam shown? (kN m) 80 KN - m 90 KN ✓ 50 kN/m ✓ 4 A D Lamhamd 6 m- 75 KN 4 m. O zero 895 O 1000 375 ŽIN. B 75 kN m-Problem No. 2 Use the moment-area method to determine the deviation at D and the slope at point A for the non-prismatic beam shown. E = 200 GPa 420(106) mm4 I %3D 100 kN 120kN A 21 L--4_– t--4-– --4- B6 Which of the following gives the reaction at C in the given beam? 300N 210 N/m A 100 Nm TITT 5m B O 1238.5 N 1693.5 N 1700.0 N O 1771.5 N int. hinge D 5m CT 3m 12m 2m+ 120 N/m ETT 3m F
- „Find the reactions at D and B ..Take F1=200 N,F2=175 N, F3-150N, M3D28 N.m F1 F2 45 85mm- -75 mm- M F3 B |A D 125 N -100 mm- -150 mm- 50 mmDeflection 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)/EIThis problem is about replacing the loading system acting on the beam shown below by a resultant force and a couple moment acting at Point 0. ,8 kN/m Determine: * 1.5m SKN/m A B 0.75m 0.75m a) The magnitude of the resultant force (FRO). Provide the direction of the force. b) The resultant couple moment (MRO). Provide the direction of rotation (CW or CCW).
- A 5m-beam is subjected to a concentrated load of 1200N at Im from the right support and a counter clockwise couple of 800N.m acting at 2m from the left support. 44. Which of the following gives the deflection at the point where the couple is applied? a. 825/EI b. 1280/EI c. 1340/EI d. 1560/EI. . .- العهبه۱قحم المدني ) « University of Babylon College of Engineering Engineering Mechanics I Dept, of Civil Eng. Homework 1 Q1: Two forces act on the hook shown in figure. Determine the magnitude and direction of the 600 N resultant using Parallelogram Law. (Ans. R=910.241 N, angle=50.328° horizontal) with 50° 400 N 20° Q2: Determine the moment of the (50 N) force 50 N shown in figure with respect to: 30° 1-Point A, 2-Point O (Ans. Ma=50 N.m c.w., Mo=25 N.m c.c.w) 60° Q3: Replace the force and couple system 400 N shown in figure by an equivalent force and couple moment acting at: 1-Point A, 2-Point B 3 m 2 m 1.5 m- (Ans. MA=465 N.m c.c.w., Mp=575 N.m c.w) 150 N 150 N إضافة وصف. . .The midspan deflection of a simply supported beam carrying a uniformly distributed load of w N/m over the right half of the beam L meters long is Oa. 5w14 midsupport 768EI Oc. Ilwl4 midsupport 384EI Ilwl4 Od. Y midsupport 768EI
- Example Draw shear and moment and axial force diagrams Develop an equation for shear and moment along the frame Sketch the deflected shape of the beam I2l5) 12KN/m В 2 100 kN 4 m 53.6 |-1.5 m--1.5 m- 5 mDvestion 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 CamScanner4 5 10 kN 0000 20 IN 73 m izd Which of the following most nearly gives the force in member cd due to a downward vertical virtual unit load at e? OO -1 O-1.41 20 AN H (w3 min d 7-3m 1-3 m Which of the following most nearly gives the vertical displacement (mm) at e? O 80/AE O 113.14/AE O183.14/AE O 70/AE 10 KN