QI Determine the resultant couple moment acting on the beam. 20 N 50 N 25m 20 N.m 20 N.m в A 50 N 20 N Sm -2m 3m
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- 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…Q,28 A plane frame ABCDEFGH shown in figure has clamp support at A, hinge supports at G and H, axial force release at C and moment release (hinge) at E. The static (d) and kinematic (a) indeterminacies respectively are o B A (a) 4,9 (c) 2, 13 l'o'o'o'o 0.000 H-1 (b) 3, 11 (d) 1,14 6x3+4+4)-7-7 Gnot-2.Homeworks: A steel shaft of two segments AB and BC which are rigidly fastened at B Determine: 1) Reactions at A and C. 2) Maximum angle of rotation. 1000N. mn/mm 4m 100mm S0mm 5mm
- 2/77 The device shown is a part of an automobile seat- back-release mechanism. The part is subjected to the 4-N force exerted at A and a 300-N•mm restor- ing moment exerted by a hidden torsional spring. Determine the y-intercept of the line of action of the single equivalent force. F = 4 N 10 mm 15° A 40 mm 300 N•mm Problem 2/773. Compute the reacting forces RA and Rg at the ends of the beam shown. These reacting forces are neccessary to maintain equilibrium. pª 3m 130N Fa 112 5mHomework H.W1: Determine the design moment strength for each of the following A) f = 25 MPa fy = 420 MPa %3D 70 mm 520 mm 540 mm S425 300 mm 2 m 2 m
- 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 CONSTANTIn order to replace the loading system acting on the beam shown below by a resultant force and a couple moment acting at Point B: x 4m 19KN FR 8 * * 4m 2m xN/m Determine: a) The component of the resultant force in the x-direction (FRx). Provide the direction of the force. b) The component of the resultant force in the y-direction (FRY). Provide the direction of the force. c) The resultant couple moment (MRB). Provide the direction of rotation (CW or CCW).4 Which of the following gives the reaction at D in the given beam? 300N₁ 210 N/m $100 Nm TITTT 5m 845 N 1195 N 1200 N O 1255 N B int. hinge D 5m Crir 3m 12m 120 N/m 2m ETTET 3m F
- 3. 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) mm416 Which of the following gives the reaction at E in the given beam? ( 300N₁ 210 N/m 100 Nm TITTT 5m 1025 N 1080 N 1085 N O 1435 N B int. hinge D 5m C777 3m 12m 2m- 120 N/m ETTET 3m FHwiDetermine the internal forces acting on the cross-Section of Bints H and E of the frame shown ? NH= 527N , VH=37BN, MH= 373 Nim NE 75N Ansi VE 355N, ME= 727 Nim 4m 75N/m 3m 3 m