OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P...
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
Considering a structure is fixed at joint D as shown in the figure,(a) Please determine all reaction forces at D;(b) The torque, shear force, and moment diagrams from D to A;(c) Determining the maximum of stresses (normal and shear) at the indicated points (1, 2, 3, 4) on the cross-section of a location along the beam.(For a circle: Izz=(π/4)(r4), J=(π/2)(r4), For a half-circle y-centroid = 4r/(3π)Bending shear stress: τxy=(VyQy)/(Izzwz)=(Vy(ycentroid A))/(Izzwz);Normal stress by bending: σxx =(Mzy)/Izz;Normal stress by axial load: P/A;Torsional...
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force...
DE = 29 Question 4: Indeterminate Beam Design and Deflection A 2014-T6 aluminium cantilever beam is rigidly fixed to a wall and supported at the free end with a roller support, shown below. The beam is loaded with a distributed load, W, of 10kN/m and a point load, P of 55kN. Both the distributed load and the point load act in the direction shown in the image below. Note, the parameter DE is related to your student number as described...
Calculate the second moment of area around axis z-z in m^4 and the maximum first moment of area Q in m^3 Find the maximum load if the maximum bending stress is not to exceed 110 MPa and the maximum shear stress is not to exceed 55 MPa Find the resulting bending and shear stresses at a point located at x=0 and y = +0.25 mm Find σ1and σ2 at that point and the beam deflection at x = 2.5m E...
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...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The answer to each part of the question is to be used for subsequent parts (a)Determine the stresses on the outer surface of the cylinder at points A and B due to (8 marks) (b) Determine the minimum internal pressure p required if the...
A two-member beam structure is given in the figure. The load, P, is set to be 1000 N. Find the displacements at node 1 in terms of the global coordinate system. The sectional areas of Member 1 and Member 2 are 100 mm- and 144 mm², respectively and their moment of inertias are 833 mm+ and 1728 mm4. The Young's modulus is given as E=200 GPa Additional Question: for those MAE 540 Students: Find the displacements and the bending stress...
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,...