Q4: If the T- cross section of the beam shown in the Figure (3) below has bending stress of 37 MN/m? in the top surface (A), then determine the bending stress in the bottom (B).
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- The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7The 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?Determine the shape factor f for a cross section in the shape of a double trapezoid having the dimensions shown in the figure. Also, check your result for the special cases of a rhombus (b1= 0) and a rectangle (b1= b2).
- A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure. The wood beams, which have a thickness I = 2.5 in., are simply supported by horizontal steel beams at A and Ä Construct a graph showing the maximum bending stress tram in the wood beams versus the depth d of the water above the lower support at B. Plot the stress0mas(psi) as the ordinate and the depth d(ft) as the abscissa. Note: The weight density y of water equals 62.4 lb/ft3.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?Q4: If the cross section of the beam shown in the figure (3) below has bending stress of 28 MN/m² in the bottom surface, then determine the bending stress in the top surface. 100 mm top 100 mm bottom 25mm 25mm Figure (3) Activate Windows Go to Settings to activate Windo
- The simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. AQuestion 2 Derive the following formula for the distance e from the centreline of the wall to the (2 1) shear center S for the hat section of constant thickness shown in Figure Q2 3bh2 (b+2a)-8ba3 e = h2(h+6b+6a)+4a2(2a+3h) 0) Check the formula for the special case of channel section (a (2 2) 3 12 C e b Figure Q2 Hat-section wall ro N.Q4: If the T- cross section of the beam shown in the Figure (3) below has bending stress of 37 MN/m² in the top surface (A), then determine the bending stress in the bottom (B). 120mm A 10mm 110mm B 10mm
- 3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00Given the beam shown below, determine the shear force and bending moment at point C. Given the dimensions a = 2 m, b = 5.9 m and c = 2 m, and the load intensities e = 10 kN/m and f = 2 kN/m. e kN/m f kN/m am bm cm A B D Shear force (observe the up on the left, down on the right positive sign convention): SFc = Number Units (tolerance 0.2 kN) Bending moment (observe the sagging positive sign convention): BMc = Number Units (tolerance 1 kN*m)A beam has a cross-sectional area as shown in the first figure. The loads on the beam have resulted in the moment diagram shown in the second figure. Given that the moment of inertia for the beam's cross sectional area about its neutral axis equals 3.453 in, then the minimum tensile stress due to bending in the beam is equal to 글 in. in 3 in. 3 in M (h.ft) 24375 x (ft) 13 - 1250 400.00 ksi Scanned with CamScanner