Determine the maximum shear stress in the beam for the loading condition as shown. Also, sketch the distribution of shear stress.
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- A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable shear force K that may act on the beam if the allowable shear stress is 36 MPa. cThe shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the figure. What is the maximum permissible bolt spacing s if the shear force V = 80 kN and the allowable load in shear on each bolt is F = 13.5 kN. Note: Obtain the dimensions and properties of the W shapes from Table F-l(b).
- If a beam has a rectangular cross section of heigh 300mm and width 60mm. In one cross section plane the beam experiences a shear force of 2x10^6 N. How do I work out the; 1 - shear stress at neutral axis 2 - the bottom surface 3 - 20mm from the top surfaceThe composite beam in Fig. a is made of wood and reinforced with a steel strap located on its bottom side. If the beam is subjected to a bending moment of M = 2 kN # m, determine the normal stress at points B and C. Take Ew = 12 GPa and Est = 200 GPa.Determine the ratios of the weights of four beams that have same length.are made of the same material,are subjected to the same lmaximum bending moment,and have the same maximum bending stress if their cross sections are (I) a rectangle with height equal to twice the width,(2) a square,(3) a circle , and (4) a pipe with outer diameter d and wall thickmess f = di% (see figures).
- For the beam and loading shown below, determine the maximum shear stress acting at section a−a. Give your answer in psi.Calculate the maximum normal and shear stress values for the attached beam at x = 8.5 m. Determine the distribution of the shear stress in the cross-section in the y-axis direction at y=55 mm, y=109.99 mm and y=110.01 from top. The dimensions of the beam are a = 5.5 m, b = 3.0 m and c = 2.5 m, and the cross-sectional dimensions are d = 170 mm and h = 130 mm. The distributed load of the beam has the value q = 3kN / m and the force F = 10kN.FInd the Magnitude of the Maximum Shear Stress in the below beam and cross-section, if: w = 17 kN/m L = 8 m b = 85 mm h = 178 mm Ensure that your answers are in MPa.
- A beam has the singly symmetrical thin-walled cross section shown in the figure. The thickness t of the wall is constant throughout. Show that the distance of the shear center from the web is given by d pzsinrxcosa Sy = md ey 14+6p+2p°sin“a where p=d/hDerive the formula for the bending stress of a beam with a rectangular cross section and triangular cross secrion. Thank youThe beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m? Use the area method