Q 1. A simple supported beam of span 9m carries two points loads 210 KN & 125 KN at 2m & 6m from left support. The beam also subjected to distributed load 26KN/m as shown in figure. Determine the max. slop at x-0 and x-9, and find the deflection in center of beam. El is constant.
Q: Consider the beam arrangement with distributed load of 12 kN/m as shown in Figure 1. ii. Determine…
A: Given Data and Initial Calculation :- for ease of calculatation lets take 20kN instead of 12kN.
Q: A cantilever beam ACB supports two concentrated loads P, and P2, as shown in the following figure.…
A: Draw a diagram for the problem. Here, x is the distance of the cross-section at which the bending…
Q: A beam ABCDE has simple supports at B and D and symmetrical overhangs at each end (see figure). The…
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Q: * For the RIGID beam shown, find the :deflection at point B 50 kN A B C 2m 3m 3m +0,025 m ID
A: Value of EI is needed
Q: Since the beam AB shown in the figure is P = 60 kN, L = 3 m and E = 200 GPa, find the deflection at…
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Q: A beam ABCDE has simple supports at B and D and symmetrical overhangs at each end (see figure). The…
A: Given that ,
Q: Q2. A simply supported beam of span 3m is subjected to uniformly distributed load of 15 kN/m as…
A: Givensimply supported beamL=3mw=15kN/m
Q: A simple uniformly distributed 20 ft. beam carrying a load of 1000 lb./ft. is simply supported at…
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Q: A SSB of 8 m span carries a point load of 10 kN at its centre. It also subjects to a UDL of 1 kN/m…
A: Given data as per question Length of beam =8 m Point load =10 KN UDL =1KN/m E = 200 kN/mm2 I = 200 x…
Q: a beam AD with a length of 5m is subjected to point loads of 8kN and 6kN at B and C as shown in…
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Q: A SSB of 8 m span carries a point load of 10 kN at its centre. It also subjects to a UDL of 1 kN/m…
A: Given:Length of beam,L=8m=8×103mmPoint load,P=10KN=10×103N=104NUDL=1KNm=1×103N103mm=1NmmYoung's…
Q: Problem 3 For the beam shown in the figure, a) Derive the equation of the elastic curve. b) Compute…
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Q: The slope at end of the point A (ii) The deflection at point C
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Q: 1. A semi-infinite steel beam of second moment of area I, = 4.0 × 10° mmª is supported on an elastic…
A: Write the given information.
Q: (b) Using Macaulay's method, calculate the deflection at the middle of the beam shown in Figure 1b.…
A: Given data To determine the deflection at the middle of the span AB
Q: (b) A simple beam ABCD with a uniformly loading and a single load at point C is shown in Figure…
A: (i) Draw the free-body diagram of the given beam.
Q: For the simply supported steel beam [E = 200 GPa; I = 129 x 10^6 mm^4] shown in the figure use the…
A: A pin support will exert both horizontal and vertical components of a reaction. The support A is pin…
Q: Find the slope deflections using any unit load method in the text book. For the beam shown in figure…
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Q: (b) A simple beam ABCD with a uniformly loading and a single load at point C is shown in Figure…
A: A beam's deformation is often measured in terms of its deviation from its unloaded position. The…
Q: Find the slope deflections using unit load method or any other method in the text book. For the beam…
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Q: 711. A cantilever beam BD rests on a simple beam AC as shown in Fig. P-711. Both beams are of the…
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Q: Find the slope deflections using any unit load method in the text book. For the beam shown in figure…
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Q: Q2. A simple supported beam of span 12m carries two points loads 220 KN & 135 KN at 3m & 8m from…
A: Given data, Length of the beam, L = 12 m Two point loads, P1 = 220 KN = 220×103 N at 3 m from left…
Q: Q/ For the beam shown in the figure below, find deflection and rotation at point B. EI=12000 kN.m2.…
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Q: QUESTION 4 Solve the problem by the moment-area method. The beam has constant flexural rigidity EI.…
A: To find : The deflection δAand δB at point B and C . Given : The moment of inertia is I=18.1×106…
Q: P B A 21 21 1.50 m 1.50 m 1.50 m 1.50 m
A: given data; ⇒lets take reaction force at A=RA⇒lets take reaction force at…
Q: Figure 1 shows a cantilever beam which is 6 m long and fixed at A. The beam carries a uniformly…
A: Conjugate Beam Method: One of the ways for determining the slope and deflection of a beam is the…
Q: Problem 9: Find the Slope and deflection at B and C for a cantilever beam of L subjected to a load…
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Q: When the mating moment MA and MB act on a simple beam as shown in the figure, find the position…
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Q: QUESTION 3 Calculate the vertical deflection at point 'A' for the thin curved beam shown in figure…
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Q: A cantilever beam AB of length Land uniform flexural rigidity El has a bracket AC attached to its…
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Q: 4. For the beam shown in the figure determine the following: (El = constant) a. value of El0 at A b.…
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Q: A rectangular steel bar supports the two overhanging loads shown in the figure. Using superposition,…
A: Given DataF=500Nb=9mma=250mml=500mmh=35mm
Q: For the simply supported steel beam [E = 200 GPa; I = 129 x 10^6 mm^4] shown in the figure use the…
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Q: Problem 3 For the beam shown in the figure, a) Derive the equation of the elastic curve. b) Compute…
A: Given Data: Moment =2.7 kN.m Uniformly distributed load =300 Nm and it is distributed on 6m length.
Q: Q/ For the beam shown in the figure below, find deflection and rotation at point B. EI=12000 kN.m?.…
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Q: 9.5-2 A simply supported beam (E = 12 GPa) car- THes a uniformly distributed load q point load P =…
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Q: A steel beam type W 250x80 is subjected to a concentrated force of 100kN at B as shown in the…
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Q: A simply supported beam is loaded with apoint load, as shown in the figure. The beam is a steelwide…
A: Given data as per question P = 10 kips f L =10 ft a = 7 ft b = 3 ft
Q: 7.17 The figure shows a steel beam which is fixedly clamped in A, and which rests on a roller…
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Q: Find the deflection at the mid-point BC of the loaded beam as shown in the figure by the double…
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Q: b) A simply supported beam of span 20m carries two concentrated loads 4kN at 8m and 10kN at 12m from…
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Q: For the simply supported steel beam [E = 200 GPa; I = 129 x 10^6 mm^4] shown in the figure use the…
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Q: Determine the equivalent distributed load associated with the beam shown in Figure Q4. Determine the…
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Q: bläi 4 For a beam, as shown in the below figure, the deflection at the free end are 8 kN 6kN/m A_c!…
A: A free-body diagram of the above beam is given as, On using force equilibrium in a vertical…
Q: For the simply supported steel beam [E = 200 GPa: I = 129 x 106 mm²] shown in the figure, use the…
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Q: Q2: Find the deflection Equation of Simply Supported Beams Subjected to the triangular distributed…
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- A beam with a sliding support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diagrams, labeling all critical ordinales.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 mmQ1: For the beam Shown in Figure 1 16kN 4kN/m 4kN/m .A C B 3m 2m 2m 3m Figure 1 I. Find the reaction at support A RAy II. Find the reaction at support B RBy III. Find the bending moment at A IV. Find the bending moment at C V. Find the maximum absolute value of the shear force in the beam VI. Draw the shear force and bending moment diagram for the beam
- Q1: For the beam Shown in Figure 1 16KN 4kN/m 4kN/m .A C B 3m 2m 2m 3m Figure 1 I. Find the reaction at support A RAy II. Find the reaction at support B RBy II. Find the bending moment at A IV. Find the bending moment at C V. Find the maximum absolute value of the shear force in the beam VI. Draw the shear force and bending moment diagram for the beamConsider the following values in the given beam above: L1=6m L2 = 2 m L3 = 4 m L4=3m L5=2 m L6=1m W1 = 90 kN/m W2 = 30 kN/m P = 50 kN M = 60 kN-m Point E is an internal hinge W1 B L2 L3 2 m E W2 L5 L6 H6. Q1: For the beam Shown in Figure 1 (40 Points) 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B RBy, the bending moment at B, and the bending moment at C. B- A 2. Draw the shear force and bending 3m 2m 2m 3m moment diagram for the beam. Figure 1 Q2: (30 Points) For the simply supported beam with loading and cross section shown in Figure 2, determine the following: 1. The location of the centroid measured 10 kN 10 kN 100 from the top fiber in (mm). 2. The moment of inertia about the 50 centroidal x axis (mm“) 3. The maximum compressive stress in 0.6m 0.6 m 0.6 m 30 30 60 30, (MPa) 4. The maximum shear stress at the neutral axis in (MPa) All cross-section 5. The average shear stress on the section dimensions in mm (MPа) If the allowable stress in tension, compression, and shear are 4 MPa, 18 MP, and 12 MPa respectively. is this Figure 2 beam safe?
- Q/ For the beams and loading shown below. A-Draw the shear force and bending-moment diagrams. B- Determine the equations of the shear force and bending-moment curves for the segments CD in Figure 2 C- Compute the bending stress at point (a) on section C. D- Determine the values and locations of the maximum tensile and compression bending stresses. Figure (2) R Point a Radius of hole: 40kN 0.5m 30 20KN/m 0.7m A B D |B 1m Im 3m Radius = R= 100 mmQuestion 4 A beam made up of two unequal leg angles is subjected bending moment M having to a its vector at an angle 0 to the z axis as shown in Figure Q4 For the position shown, determine the onentation of the neutral axis 4.1 Calculate the maximum tensile stress and maximum compressive stress in the beam 4.2 Assume that 0 3.5 kNm 30° and M = 120 mmx80 mmx12 mm 120 mm 12 mm 80 mm Figure Q4For 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
- The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm x tmm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (ocompression) between these beam section orientations? O a. O b. Oc tmm 2 mm Beam Section Orientation A 2tmm 7 mm Beam Section Orientation B Maximum compressive stress (compression) in orientation B is greater than orientation A by a factor of 2. Maximum compressive stress (ocompression) in orientation A is greater than orientation B by a factor of 4. Maximum compressive stress (compression) in orientation B is greater than orientation A by a factor of 4. O d. Maximum compressive stress (ocompression) in orientation A is greater than…Q # 4: Write shear and moment equations for the beams in the following figure. In each problem, let x be the distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values at all change of loading positions and at points of zero shear. 10 Neglect the mass of the beam in each problem. CLO – 3 80 KN 40 KN 2m 5m Ri R21. Calculate reactions at the external supports. 2. Draw the free body diagram. 3. Build the diagrams if shear force and bending moment. (use the section method) 4. Find the diameter of section of the beam. 5. Calculate the maximum Tangential Stress and show the corresponding section. 6. Draw the stress distribution diagram in the most dangerous section of the beam. a (m) 4 b (m) | P (kN) q (kN/m) 1 80 8 A D-? [G] - 100 MPa a q B b P