as shown in figure below. Determine the maximum depth of water in the channel if the tensile and compressive bending stresses are not to exceed 18 MPa and 48 MPa respectively. Water weighs 9.81 kN/m³ and the cast iron 68 kN/m³. Ans. Max. Depth = 203 mm
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- A beam having a T shaped section is subjected to a vertical shear force of V = 10,000 N. The cross sectional dimensions are flange width, bf = 100mm, flange thickness tf = 25mm, gross depth of h = 200 mm and web thickness of 25 mm. Determine the maximum shear stress in the flange.A beam having a tee-shaped cross section is subjected to equal 13 kN-m bending moments, as shown. Assume bf = 95 mm, tf = 25 mm, d = 165 mm, tw = 40 mm. The cross-sectional dimensions of the beam are also shown. Determine(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H (positive if tensile and negative if compressive).(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.Consider the beam section below where fc’ = 30 MPa, Es = 200 GPa, determine the bending stress of the steel section if M=180 KN-m in MPa. Express your final answer in two decimal places.
- A simply supported beam is subjected to alinearly varying distributed load q(x) =(x/L)q0 withmaximum intensity q0 at B. The beam has a lengthL = 4 m and rectangular cross section with a widthof 200 mm and height of 300 mm. Determine themaximum permissible value for the maximum intensity,q0, if the allowable normal stresses in tension andcompression are 120 MPa.N for Newton, m for meter, mm for millimeter, N/(mm^2) for Stress, mm^2 or m^2 for Area, mm^4 for Moment of inertia and Nm for bending moment. Use brackets if the power is MINUS for Example: 0.00125 N =1.25*10^(-3)N. A simply supported beam AB = 11 m has a hollow rectangular cross-section with 14 cm as width, 29 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8 N acting at C and D respectively and a uniformly distributed load (UDL) of 8 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii) Bending stress at 1 cm from…N for Newton, m for meter, mm for millimeter, N/(mm^2) for Stress, mm^2 or m^2 for Area, mm^4 for Moment of inertia and Nm for bending moment. Use brackets if the power is MINUS for Example: 0.00125 N =1.25*10^(-3)N. A simply supported beam AB = 11 m has a hollow rectangular cross-section with 14 cm as width, 29 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8 N acting at C and D respectively and a uniformly distributed load (UDL) of 8 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = Answer and unit for part 3 iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii)…
- 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?A beam carries a uniform distributed load of intensity w in N/m. It was determined that Vmax = 7.5w N, (+)Mmax = 5.2w N-m, (-)Mmax = 4.5w N-m. From the given cross section shown, ytop = 64.183 mm, ybot = 135.817 mm, and INA = 25.059 x 10 6 mm4. The allowable stresses are as follows: σfT = 30 MPa, σfC = 60 MPa, and τ = 10 MPa. a. The safe uniform load considering tensile flexural strees is _____N/m b. The safe uniform load considering compressive flexural stress is _____ N/m. c. The moment inertia of the area about the neutral axis is _____ mm^3. d. The safe uniform load considering maximum shear force is _____ N/m e. Based on your analysis, the safe uniform load to recommend is _____ N/m.The 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.
- A horizontal beam under bending has a maximum bending stress of 100 MpA and a maximum shear stress of 20 Mpa. What is the maximum principal stress induced in the beam.A simply supported beam AB = 11 m has a hollow rectangular cross-section with 18 cm as width, 27 cm as depth and thickness as 1 cm is subjected to a point load of 5 N & 5 N acting at C and D respectively and a uniformly distributed load (UDL) of 7 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 1 m. Solution: i) Reaction force at B = ________N ii) Reaction Force at A = ________N iii) The distance from B at which the shear Force value changes from "-" to "+" = ________m iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = ________Nm v) Moment of Inertia, I = ________m^4 vi) Maximum bending stress = ________N/m^2 vii) Bending stress at 1 cm from the top = ________N/m^2A simply supported beam AB = 9 m has a hollow rectangular cross-section with 13 cm as width, 20 cm as depth and inner thickness as 1 cm is subjected to a point load of 8 N & 8 N acting at C and D respectively and a uniformly distributed load (UDL) of 9 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. note sole 4.5.6.and 7 i) Reaction force at B in (N)= ii) Reaction Force at A in(N)= iii) The distance from B at which the shear Force value changes from "-" to "+" in (m)= iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I in (m^4)= vi) Maximum bending stress in (N/m^2)= vii) Bending stress at 1 cm from the top in (N/m^2) =