a2 Beam AB is 14 m in length and loaded as shown in Figure Q2. Find the slopen and deflection under 0.5 kN.m moments. Find also the value and location of the maximum deflection. If the second moment of area for the beam section is 7 x 10 m and the modulus off elasticity is 200 GN/m². 0.5 kNm € 2m 4 2m + 2 KN Į 6 m 1 kN/m Figure Q2: Beam Loading 0.5 kNm 2 m 2m

a2 Beam AB is 14 m in length and loaded as shown in Figure Q2. Find the slopen and deflection under 0.5 kN.m moments. Find also the value and location of the maximum deflection. If the second moment of area for the beam section is 7 x 10 m and the modulus off elasticity is 200 GN/m². 0.5 kNm € 2m 4 2m + 2 KN Į 6 m 1 kN/m Figure Q2: Beam Loading 0.5 kNm 2 m 2m

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

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Hi, I want to find the location on the beam where the maximum bending moment happens as measured from point A. I have already gathered the following information. FAx= 0 FAy= 25.0869 FCy= 32.913 the sheer force at B= 3.087 The bending moment at B = 77.4785 Let the loading coefficents be: W1 = 4 kN/m, W2 = 8 kN/m Let the lengths be: L1 = 5.5m , L2 = 6m. If anyone could help me with this last step of the problem that would be great.
For the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0 1400 lbf Hinge JA B₁ C R₂ R₁ 4 in 4 in 2 in V1 V2 D R₂ + What is the value of the peak moment between points Cand D? The peak moment between points C and Dis Ibf.in.
For the simply supported beam subjected to the loads shown. Let a-3.00 m, b=4.00 m, PB = 30kN, and Pc = 65kN. Construct the shear-force and bending- moment diagrams on paper and use the results to answer the questions in the subsequent parts a ANSWER IN KN B PB Pc C b Calculate the reaction forces Ay acting on the beam. D x
QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.
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For the beam shown, derive the expressions for shear and moment. Show complete solutions. Simplify all equations. Then draw the shear force and bending moment diagrams below the load diagram. Draw to scale. 1. Shear and Moment Diagram: 18 kN/m 25 kN-m A E |C ImIm - 2 m 3 m· Shear Equation Moment Equation Segment AB Segment BC Segment CD Segment DE Point of Zero Shear: Moment at point of zero shear:
3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beam shown in the following figure. Also determine the reaction forces and moments. Each element has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 × 105 mm4, and 2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) for each element, assembly of k matrices to get global stiffness matrix (K) and application of boundary conditions. Then solve the reduced K matrix to get displacements and reactions 3000 N 150 mm 75 mm 125 mm
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Q1. Figure below shows a simply supported beam that has a rectangular cross section 120 mm wide and 200 mm high. a. Determine the maximum bending stress in the beam. b. Calculate the bending stress experienced by a point on section B that is 25 mm below the top of the beam. (Consider the distance of this point from the N.A when solving this part) |15KN 6 kN/m B D 0.8 m 2 m 1.0 m R = 14 kN RE = 19 kN
For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, PB = 45kN, and Pc = 90kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay = Dy= Mi i B Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) PB a PB B a Pc a Pc C kN b KN b D X D₂ X
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay= Dy = a M. B a PB Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) PB Pc a Pc kN b KN D b D X D X
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