Answers:
Z = 85017 mm3
Mallow = 26.27 kNm
Answers: Z = 85017 mm3 Mallow = 26.27 kNm 4. Calculate the elastic section modulus for...
Answers: Mmax = 170.67×106 Nmm σb max = 248.42 N/mm2 F.O.S. = 1.24 5. Calculate the maximum moment in the beam shown. If the elastic section modulus of the beam is Z 687000 mm3, calculate the maximum bending stress in the beam. Calculate the factor of safety against failure if the design stress of the steel is ơd 309 N/mm2. 12 kN/m 8m 4m Fig. Q5
Answers: Mmax = 170.67×106 Nmm σb max = 248.42 N/mm2 F.O.S. = 1.24 5. Calculate the maximum moment in the beam shown. If the elastic section modulus of the beam is Z 687000 mm3, calculate the maximum bending stress in the beam. Calculate the factor of safety against failure if the design stress of the steel is ơd 309 N/mm2. 12 kN/m 8m 4m Fig. Q5
Answers: IXX = 54.47×106 mm4 Ztop = 722826 mm3 Z bottom = 242474 mm3 Mmax hog = – 90.00×106 Nmm Mmax sag = + 51.42×106 Nmm 9. Calculate Ixx for the T-section shown in Fig. Q9a. From this, calculate the elastic section modulus for the top and the bottom of the section. This section is loaded as shown in Fig. Q9b. Calculate the maximum hogging and sagging moment in the beam and plot the stress distribution through the depth of...
Answers: IXX = 92.11×106 mm4 wmax = 15.53 kN/m 1/R = 0.0085 m-1 6. Calculate lxx for the steel I-section shown in Fig. Q6a. This section is to span a distance of 9 m and is loaded as shown in Fig. Q6b. Calculate the magnitude of the maximum UDL that can be sustained by the beam if the design stress of the steel is 239 N/mm2. Calculate the curvature of the beam at midspan under that maximum UDL, taking Estel...
(a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...
Problem: A 7 m wide concrete bridge deck (with a span of 9.1 m) is supported by two identical simply supported lightly welded I-beams. The 350 mm thick concrete deck acts as a continuous lateral restraint along the whole length of the beams. The bridge is subjected to a uniformly distributed live load (Q) of 10 kPa. The dead load consists of the self- weight of the I-beams and the concrete deck. If the yield stress of the beams fy...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total length I3 m. At its midpoint, a belt passes over a pulley and delivers 50 kW power to the shaft. This power is used to drive two machines at either end of the shaft. Machine 1 consumes P1 20 kW and machine 2 uses P230 KW. The...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
How do I solve this? Problem 2(50 points) The roof of the Edwin A. Stevens building is to be redesigned to accommodate a billboard for Stevens Institute of Technology. The new billboard will weigh 40 kips and be supported equally by two columns located 9 ft from the rear of the building. The beams supporting the new roof will be simply supported as shown. (Note there is a 5 ft overhang at the front of the building). For the grade...