Strength of Materials IV
Strength of Materials IV 9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflectio...
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q (see figure) has a fixed support at A and spring support at B with rotational stiffness kR. Rotation at B, OB results in a reaction moment MB*Rx θ8. Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), find rotation GB and di the end B. (Hint- You will need third boundary condition so read the problem statement carefully) (20 points)...
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the beanm (a)Determine the reaction forces at the fixed end D. (6 marks) (b) Express the elastic curve of the beam in terms of EI, w, a and x. (14 marks) (c)Determine the allowable intensity w if the deflection at A is...
(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)...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
Figure P5.13a shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. P5.135) Use bisection to determine the point of maximum deflection (that is, the value of x where dy/dx = 0). Then substitute this value into Eq. (P5.13) to determine the value of the maximum deflection. Use the following parameter values in your com- putation: L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm, and w0...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
31 The beam deflective curve equation for sections 0 <I<L and L<I<L, The beam deflection dc at the mid-point of the beam where I = LL (12) (5) Total Marks: (25) Hints for Question 3 1) The bending moment M(x) for the beam AB may be simplified to two separate expressions for cach of the sections such that M (3) 90 24L L40 (51°c – 12x®L+8x"), for 06135 (-2+L), for ££<3<1 M2(x) 24 QUESTION 3 Consider a simple beam AB...
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...