For the beam and loading shown in the figure, integrate the load distribution to determine the equation of the elastic curve for the beam, and the maximum deflection for the beam. Assume that EI is constant for the beam. Assume EI=25000 kN⋅m2, L=2.4 m, and w0=61 kN/m.
(a) Use your equation for the elastic curve to
determine the deflection at x=1.5 m. Enter a negative value if
the deflection is downward, or a positive value if it is
upward.
(b) Find the maximum deflection for the beam.
Enter a negative value if the deflection is downward, or a positive
value if it is upward.
For the beam and loading shown in the figure, integrate the load distribution to determine the...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated...
For the beam and loading shown below, identify the individual load cases from the beam tables that should be applied and sketch the deflected shape to each load case. Then, superimpose the load cases to determine the beam deflection at point H. Assume that El 6 x 104 kN-m2. [Ans.to Check v -10.55 mm 3) 30 kN 7.5 kN/m 1.3 m 3 m
P10.047 (Multistep) The simply supported beam shown in the figure consists of a W410 x 60 structural steel wide-flange shape [E = 200 GPa; I = 216 x 100 mm"]. For the loading shown, determine the beam deflection at point B. Assume P = 88 kN, w = 94 kN/m, M = 162 kNm, and d= 1.5 m. .PL IIIIIIIIIIIII Part 3 Neglect the concentrated moment M and the concentrated load P and determine the deflection at B due to...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
The simply supported bearm is made of A-36 steel and is subjected to the loading shown in (Figure 1. Suppose that P 18 kN. E 200 GPa and I - 0.1457(10 Part A Determine the deflection of the beam at its center C Express your answer to three signiticant tigures and include the appropriate units. Enter positive value If the deflection is upward and negative value If the deflection is downward. Ac= Value Units Figure 1 of 1 Submit Request...
Problem 2 For the beam and loading shown, using singularity functions, determine (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point D L/2 L/2 L/2 Problem 2 For the beam and loading shown, using singularity functions, determine (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point D L/2 L/2 L/2
Problem 8 (Integration) For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for segment AB of the beam, (b) the deflection midway between the two supports, (c) the slope at A, and (d) the slope at B. Assume that El is constant for the beam. - X A * 12*
PROBLEM 1: Given the overhang beam shown below and subjected to a downward force equal to 20 kN at B. The stiffiess of the beam is El 10 kN-m2 and that of the spring is k (note: F-kA). Determine the value of k such that the deflection at point D due to the 20 kN load is zero. 20 kN 4 m 4 m PROBLEM 1: Given the overhang beam shown below and subjected to a downward force equal to...
For the beam and loading shown, determine (a) the equation of the elastic curve, (b) the slope at the free end, (c) the deflection at the free end. 9.17 For the beam and loading shown, determine (a) the equation of the elastic curve, (b) the slope at the free end, (c) the deflection at the free end. - w=wocos Fig. P9.17