(b) A simply supported beam of span 8 m is subjected to a point load of 8 KN in the middle. The beam has a circular section of 40 mm diameter. Perform the following: (i) Draw the free body diagram of the beam; (ii) Draw the bending moment diagram; (iii) Determine the maximum bending stress. (c) Analyse the effect of increase in external load on the maximum bending stress for the system given in Question Q 3(b).

(b) A simply supported beam of span 8 m is subjected to a point load of 8 KN in the middle. The beam has a circular section of 40 mm diameter. Perform the following: (i) Draw the free body diagram of the beam; (ii) Draw the bending moment diagram; (iii) Determine the maximum bending stress. (c) Analyse the effect of increase in external load on the maximum bending stress for the system given in Question Q 3(b).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A 16 ft steel line shaft has no bending action except its own weight. What power in hp can shaft deliver at a speed of 200 rpm. Consider that the torsional deflection wm not exceed 0.08o/ft of length.
The length of the smooth circular shaft with a solid cross-sectional area of 315nm2 is 1 meter. Instead of this shaft, it is desired to use an evacuated circular-section shaft with a wall thickness of 3 mm with the same length and weight. For these two cases, compare the angles of rotation that would occur if a moment M = 600 (N.m) was applied to the end of the shaft made of material G-80 GPa.
A vertical shaft 25 mm diameter and 0.75 m long is mounted in long bearings and carries a pulleyof mass 10 kg midway between the bearings. The centre of pulley is 0.5 mm from the axis of theshaft. Find (a) the whirling speed, and (b) the bending stress in the shaft, when it is rotating at 1700r.p.m. Neglect the mass of the shaft and E = 200 GN/m2.
A car skidded off an icy road and became stuck in deep snow at the road shoulder. Another car, of 1400 kg mass, attempted to jerk the stuck vehicle back onto the road using a 5 m steel tow cable of stiffness k = 5000 N/mm. The traction available to the rescue car prevented it from exerting any significant force on the cable. With the aid of a push from bystanders, the rescue car was able to back against the stuck car and then go forward and reach a speed of 4 km/h at the instant the cable became taut. If the cable is attached rigidly to the masses of the cars, estimate the maximum impact force that can be developed in the cable, and the resulting cable elongation. Assume that the steady state force, acting on the rope, is equal to the weight of the car.
A generator driven by a wind turbine is required to deliver 5 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55x106 N/m2 The rotor is designed to operate at a rotational speed of 45 revolution per seconds .The stage efficiencies are Cp 0.32, ngb = 0.90, ng = 0.92. %3D . (i) If the turbine delivers its rated power at a wind average speed of 22 m/s, calculate the corresponding diameter of the propeller and its TSR, assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29 kg/m³. (ii) Calculate the torque on the turbine shaft.
A 4.8 m-long from fixed point, 0.5 m wide and ssumed a thickness of 30 mm troughout a springboard made of high strengh S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: i. the reaction at the fixed-end of the cantilever and bending moment diagram. ii. the maximum bending moment in the beam. if the material Young's Modulus of elasticity is 93.8 GPa find: iii the maximum slope of the beam. iv. the maximum deflection in the beam. v. the maximum strength in the material
Find horizontal reaction?????
A uniform beam, of mass 31 kg/m run, is simply supported on a span of3.6 m. Taking EI for the beam as 7 MN.m2, calculate the frequency oftransverse vibrations.This frequency is to be reduced by 40% by fixing three equal masses tothe beam, at the mid-point and the quarter points. Calculate how muchthese masses should be.
3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.d) where is the centroid?e) what is the area?f) Calculate the shear modulus
3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortexand a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and aPoisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107kN. Use 9.8 m/s 2 for the acceleration due to gravity.Consider the cross-section shown (you can look these up). Pay attention to the coordinate systemgiven in the drawing.a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown?b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown?c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e.about the x-axis)?d) where is the centroid?e) what is the area?f) Calculate the shear modulusg) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
Draw the shear force and bending moment diagrams of the given simple headstock beam? can you solve it step by step!