Design of Reduced Beam Section (RBS) Moment Frame Connection
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VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS) Shamshabad– 501 218, Hyderabad Mechanics of Solids (A4305) Assignment-III 1 Derive the Bending Equation clearly stating the assumptions made? 2 A cast iron beam has an I-section with top flange 100mm × 40mm, web 140mm×20mm and bottom flange 180mm × 40mm. If tensile stress is not to exceed 35MPa and compressive stress 95MPa, what is the maximum uniformly distributed load the beam can carry over a simply supported span of 6.5m. 3 A beam is simply supported and carries a uniformly distributed load of 40 kN/m run over the whole span. The section of the beam is rectangular having depth as 500 mm. If the maximum stress in the material of the beam is 120 N/mm 2 and moment of inertia of the section is 7 × 10 8 mm 4 , find the span of the beam. Assume depth =2times width 4 A steel plate of width 60mm and thickness 10mm is bent into a Circular arc of radius 10m. Determine the max stress induced and the bending moment which will produce the max stress. Take E = 2x10 5 N/mm 2 5 Develop relation for the shear stress across section a triangular , side as base 6 Show that the maximum shear stress in a beam of square section with a diagonal horizontal is 9/8 times of average shear stress. 7 The T section shown in Fig. is the cross-section of a beam formed by joining two rectangular pieces of wood together. The beam is subjected to a maximum shearing force of 60 kN. Show that the NA is 34 mm from the top and the I= 10.57x10 6 mm 4 . Using these values, determine the shearing stress (a) at the neutral axis and (b) at the junction between the two pieces of wood. 8 An I-section beam 350 mm x 150 mm has a web thickness of 10 mm and a flange thickness of 20 mm. If the shear force acting on the section is 40 kN. Find the maximum shear stress developed in the I-section. Sketch the shear stress distribution across the section, also calculate the total shear force carried by the web. 1 | Page
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VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad– 501 218, Hyderabad Mechanics of Solids (A4305)
Assignment-III
1 Derive the Bending Equation clearly stating the assumptions made?
2 A cast iron beam has an I-section with top flange 100mm × 40mm, web 140mm×20mm and bottom flange 180mm × 40mm. If tensile stress is not to exceed 35MPa and compressive stress 95MPa, what is the maximum uniformly distributed load the beam can carry over a simply supported span of 6.5m.
3 A beam is simply supported and carries a uniformly distributed load of 40 kN/m run over the whole span. The section of the beam is rectangular having depth as 500 mm. If the maximum stress in the material of the beam is 120 N/mm2 and moment of inertia of the section is 7 × 108
mm4, find the span of the beam. Assume depth =2times width
4 A steel plate of width 60mm and thickness 10mm is bent into a Circular arc of radius 10m. Determine the max stress induced and the bending moment which will produce the max stress. Take E = 2x105
N/mm2
5 Develop relation for the shear stress across section a triangular , side as base
6 Show that the maximum shear stress in a beam of square section with a diagonal horizontal is 9/8 times of average shear stress.
7 The T section shown in Fig. is the cross-section of a beam formed by joining two rectangular pieces of wood together. The beam is subjected to a maximum shearing force of 60 kN. Show that the NA is 34 mm from the top and the I= 10.57x106 mm4. Using these values, determine the shearing stress (a) at the neutral axis and (b) at the junction between the two pieces of wood.
8 An I-section beam 350 mm x 150 mm has a web thickness of 10 mm and a flange thickness of 20 mm. If the shear force acting on the section is 40 kN. Find the maximum shear stress developed in the I-section. Sketch the shear stress distribution across the section, also calculate the total shear force carried by the web.
9 A square of 20mm side is used as a beam with diagonal horizontal subjected to a vertical shear force 2KN at a section. Determine the maximum shear stress.
10 (a) Prove that the maximum shear stress in a circular section of a beam is 4/3 times the average shear stress.
(b) Prove that the maximum shear stress in a Rectangular section of a beam is 3/2 times the average shear stress
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