Q/ The figure shows the vertical cross- section of a beam which at this section is subjected to a bending moment of 2 cm web 2.72 kN.cm and a vertical shearing force of 12 kN. Find the bending stresses and sketch the distribution of shearing stress. 6 cm 2 cm
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- Since the bending safety stress em = 10 MPa, shear safety stress em = 600 kPa of the rectangular section beam given in the figure and whose width is b = 150 mm, the height of the beam section h is at least how much is the height of the beam section in order not to exceed the safety stress values. should be.A wood beam carries the loading shown in the figure. calculate the magnitude of the bending stress (in Pa) on a section 2.63 m from A if P = 5111 N, W = 2076 N/m, a = 0.75 m, b = 1.16 m, c = 1.03 m, L = 84 mm and h = 208 mm. Round off the final answer to two decimal places.Give the expression for the shear force, V = V(x), and the bending moment,M = M(x), as a function of the distance, x, measured from point A.Hint: Find the expressions of shear force and bending moment in each section:AB (0< x <4), BC (4 <x <7) and CD (7< x <10)
- A wood beam carries the loading shown in the figure. calculate the magnitude of the bending stress (in Pa) at a point 26 mm from the top of the beam on a section 3.27 m from A if P = 4613 N, W = 1798 N/m, a = 0.82 m, b = 1.85 m, c = 1.06 m, L = 74 mm and h = 182 mm. Round off the final answer to two decimal places.A fiberglass pipe is lifted by a sling, as shown in the figure. The outerdiameter of the pipe is 6,0 in., its thickness is 0.25 in,, and its weightdensity is 0,053 1b/in3 the length of the pipe is L = 36 ft and the distancebetween lifting points is s = 11 ft.a. Determine the maximum bending stress in the pipe due to its ownweight,b. Find the spacing s between lift points which minimizes thebending stress. What is the minimum bebding stress?c. What spacing s leads to maximum bending stress? What is thatstress?Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ft
- consider a beam shown in the attached figure express the internal moment in the beam as a function of x for 0 < x < L/3. express answer in terms of some or all variables x, w0 and L.Determine the axial force, shear force, and bending moment at point J located on member AB of the landing gear of an airplane, as shown in the figure.All distances are in inches.A wood beam carries the loading shown in the figure. Calculate the magnitude of the bending stress (in Pa) at the top of the of the beam on a section 2.82 m from A if P = 4212 N, W = 1939 N/m, a = 1.12 m, b = 2.1 m, c = 1.25 m, L = 83 mm and h = 218 mm. Round off the final answer to two decimal places.
- Q: Shear of Thin-Walled Beams (open section 1. The figure below shows the cross section of a thin, singly symmetrical I-section. Show that the distance & of the shear center from the vertical web is given by d (1+12p) where p=d /h., The thickness is taken negligibly small in comparison with the other dimensions and fj < I,Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…A beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional area is shown in the figure below. What is the maximal shear stress? (Hint: the area moment (Q) is given by bh2/8, and the area moment of inertia of the cross-sectional area is equal to bh3/12, b is the width, h is the height).