Q: Find the value of W which can be applied to the beam shown in figure below. if the maximum bending stress is 20 MPa and the maximum shearing stress is 2 MPa.
Q: A beam ABCDE is 5 m in length and loaded as shown in Figure Q3. Draw the S.F. and B.M. diagrams for…
A: The maximum bending stress occurs at the maximum bending moment and is given by,…
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Q: The vertical shear force acting in a beam with the cross section shown in the figure is 20 kips.…
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Q: Q1 For the beam shown in figure below, draw the shearing force and bending moment diagrams showing…
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Q: The overhanging beam in Fig (a) below if the maximum bending stress is 20.25 kNm, find the load…
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Q: Calculate the shear stress of the beam in the figure at point “a”?
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Q: A composite beam consists of concrete slab (1) that is rigidly attached to the top flange of a W16 ×…
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Q: The cross-sectional dimensions of the beam shown in Figure are ro = 115 mm and ri = 95 mm. Given Mz…
A: Moment of inertia is given asI=π64D4-d4I=π642×1154-2×954I=73.39×106 mm4perpenficular distance…
Q: 3-A simply supported beam of length 4 m, is subjected to an Uniformly distributed load of 26 kN/m…
A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…
Q: A beam is loaded as shown in the below figure. Then the bending stress along the x-x line is 5 kN 2…
A: The formula for the bending stress is. MI=σyσ=MyI Here, M is bending moment, I is moment of inertia…
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Q: A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as…
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Q: In the simple beam given in the figure, Find the maximum slope and depression using the values…
A: When any beam is subjected to a load, it deflects, and the neutral axis becomes a curved line which…
Q: Q2\ For the composite section beam shown in figure below. Determine the maximum bending stresses.…
A: ratio of elastic modulii = 200/25 = 8 we have to develop the equivalent section for solving the sum…
Q: Example 4 The simply supported beam in Figure below has a rectangular 3kN cross section 100 mm wide…
A: Given: Uniform distributed load at the beam is, w=1.5 kN/m . Point load acting at point B is 3 kN .…
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Q: For the cantilever beam with uniformly distributed load shown in Figure find: d. The moment of…
A: Consider the given cantilever beam. Calculate the reaction at the fixed end. R=16 kN/m5 mR=80 kN…
Q: Example 4 The simply supported beam in Figure below has a rectangular 3kN cross section 100 mm wide…
A: Solution: To find support reactions at A and B, considering static equilibrium,…
Q: The simple beam ACB shown in the figure is subjected to a concentrated load P 30 kips and a…
A: Given: Distributed load (q)=3kips/ftConcentrated load (P)=30kips
Q: A steel beam is built up from a W 410 x 85 wide flange beam and two 180 mm x 9 mm cover plates (see…
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Q: Consider the beam shown in the figure. Suppose that the distributed load w = 650 lb/ft . Follow the…
A: Solution ; As the loading is symmetric, so reaction at the support will be equal :…
Q: Find the absolute maximum bending stress in the beam shown in the figure below. (Figure 3) The beam…
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Q: "Draw the shear and moment diagrams or the beams shown in the figure below
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Q: Q2: For the beam shown in figure below, find the bending stress of beam at point A. When I= 120*10*…
A: Bending equation is given as: MI=σy=ER where, M is the bending moment I is the moment of…
Q: In the simple beam given in the figure, Find the maximum slope and depression using the values.…
A: When any beam is subjected to a load, it deflects, and the neutral axis becomes a curved line which…
Q: beam ABCDE is 5 m in length and loaded as shown in Figure Q3. Draw the S.F. and B.M. diagrams for…
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Q: Q: Find the value of W which can be applied to the beam shown in figure below. if the maximum…
A: Consider the reaction at the supports RB and the reaction at supports C is Rc. Moment about C,…
Q: For the beam shown in the figure, find the shear stress at a point 25 mm above the bottom of the…
A: Given, A simply supported beam with point load , P =14 KN Moment of inertia of the cross section ,…
Q: 150 N Q.4) For the beam and 100 N 100N 160 N/ 160 N/ to e k loading shown in figure, „draw shear…
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Q: In the simple beam given in the figure, Find the maximum slope and depression using the values.…
A: The bending moment is a reaction in a structural element that is subjected to an external force or…
Q: Half of the beam section shown in the figure is made of aluminum (E) and the other half is made of…
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Q: Find the cross sectional dimensions of the smallest square beam that can be loaded as shown in the…
A: Given: Load acting in downward direction at 4 m away from the left end A→P=12 KN And moment applied…
Q: In the beam loading system given below, A is a simple and C is a sliding support. The outer diameter…
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Q: Q3/ The beam shown in figure(3). carrying triangle distributed load 20KN/m and concentrated load…
A: Drawing the free body diagram of the beam as shown below, The triangular load can be written as,…
Q: Q6 The simply supported beam in Figure below has circular cross section of 60 mm as shown in Figure…
A: In the given problem, we have to find maximum bending moment to find maximum bending stress and max…
Q: Analyze the given beam that is subjected to a bending moment of 20 kg-m. Find the maximum stress…
A: An I section with unequal top and bottom width is given. And the bending moment acting on the beam…
Q: Q4: If the T- cross section of the beam shown in the Figure (3) below has bending stress of 37 MN/m?…
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Q: 3-In the figure given below, P(load) and M(moment) effects from the mid point of the fixed beam from…
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Q: Find the cross sectional dimensions of the smallest square beam that can be loaded as shown in the…
A: Answer: The cross-sectional dimensions of the smallest square beam: a × a = 196 mm × 196 mm
Q: The Cantilever beam in Fig. 5, has a circular cross section (diameter 100 mm) (a)find the shear…
A: Given data, d = Diameter of the circular cross-section = 100 mm w = Intensity of the uniform load =…
Q: Let's consider a fixed supported beam subjected to a triangular distributed load as shown in the…
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Q: For the beam shown in the figure below, determine the equations of shear and bending moment along…
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Q: The cross-sectional dimensions of the beam shown in Figure are ro = 115 mm and ri = 95 mm. Given Mz…
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- A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the semicircle to the shear center. Also, plot a graph showing how the distance e (expressed as the non dimensional ratio e/r varies as a function of the ratio b/r. (Let b/r range from 0 to 2.)
- A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q = 3.0 kips/ft on a span of length L = 12 ft (sec figure). The dimensions of the cross section are q = 10.5 in., b = 5.81 in., t1= 0.510 in., and fw = 0.300 in. Calculate the maximum shear stress tjuly on cross section A—A located at distance d = 2.5 ft from the end of the beam. Calculate the shear stress rat point Bon the cross section. Point B is located at a distance a = 1.5 in. from the edge of the lower flange.A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?
- The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d/9 the top and bottom of the beam (see part b of the figure). For what values of d is the bending-moment capacity of the beam increased? For what values is it decreased?
- A tapered cantilever beam A B of length L has square cross sections and supports a concentrated load P at the free end (sec figure part a). The width and height of the beam vary linearly from kAat the free end to hBat the fixed end. Determine the distance.y from the free end A to the cross section of maximum bending stress if hE= 3h4, What is the magnitude ffœai of the maximum bending stress? What is the ratio of the maximum stress to the largest stress B at the support? Repeat part (a) if load P is now applied as a uniform load of intensity q = P/L over the entire beam, A is restrained by a roller support, and B is a sliding support (see figure part b).A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are b = 6.54 in., h = 8.06 in., fw = 0.285 in., and tf = 0.465 in.. The loads on the beam produce a shear force V = 7.5 kips at the cross section under consideration. Use center line dimensions to calculate the maximum shear stress raiaxin the web of the beam. Use the more exact analysis of Section 5,10 in Chapter 5 to calculate the maximum shear stress in the web of the beam and compare it with the stress obtained in part .The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following formula for the distance /h from the centerline of one flange to the shear center S: h1t2b23ht1b13+t2b23 Also, check the formula for the special cases of a T-beam (b2= t2=0) and a balanced wide-flange beam (t2= ttand b2= ty).