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- The beam shown below is made of 310 UB 46.2. What is the value of maximum compressive stress in this beam in MPa? L = 3.3 m P = 32.6 kN = 40.9 Degrees UB310: Section height= 307 mm, Section Area = 5930 mm^2, I = 100 *10^6 mm^4.The section modulus for the beam of hollow circular cross section of outer and inner diameters as 70mm and 40 mm respectively, is ______________ mm3. The section modulus (unit is in mm3)= ______________ AnswerThe beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 16 mm d = 110 mm t = 4.8 mm Additionally: • The area of each pipe is A = 1586 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 194710000 mm4. If the beam will be subjected to a shear force of V = 170 kN, determine the shear stress at point K, located at yK = 70 mm below the z centroidal axis.
- 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 beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.6 cm from the neutral axis isA beam of 8m length rests on two supports one at the right end and the other 2m from the left end. The beam carries a udl of 15kN/m over the entire span and a concentrated load of 80kN at the middle of its span. Draw SFD and BMD . Mark all salient values and locate point of contra-flexure. Ans: RB = 120kN, MC = 172.5kNm, x1 = 0.343m from B. answer must tally with those givenDetermine the equivalent stiffness of a cantilever beam which is loaded transversely on its end and has a length in 5000 mm and an annular cross section with inner and outer diameters of 25 mm and 22 mm, respectively. The modulus of elasticity of the beam is 72x109 N/m2. Use moment of inertia I=π(D4o−D4i)/64 and spring constant is (k= 500 N/m). Answer must be in three decimal places.
- The section modulus for the beam of hollow circular cross section of outer and inner diameters as 50mm and 35 mm respectively, is ______________ mm3. The section modulus (unit is in mm3)= ______________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)…
- consider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.The section modulus for the beam of rectangular cross section of size 80 mm x 85 mm, is ______________ mm3. The section modulus (unit is in mm3)= ______________ AnswerEngineering design questions : An beam having uniform square cross section is '2' metre long supported in bearings at its ends carries a fly wheel weighing '25' kN at the centre, subjected to load which varies from 70’ N to '200' N. Determine the width and depth of a uniform square plate,. The yield strength of the materials is '850' MPa and the endurance strength '550' MPa with FOS = 2. Other correction factors may be taken as follows: For axial loading (Ka) = 0.7; For machined surface (Ksur) = 0.8 ; For size (Ksz) = 0.85 ; For stress .concentration (Kf)=1.0