Couple of steps more to solve equations and with calculationg constant values (c1,c2,c3,c4 ) and apply in deflection equation with distance x=3 .
Determine the equation of the elastic curves for the simply supported beam as shown in FIGURE...
QUESTION 1 [15] For the simply supported beam subjected to the loading shown in the figure, a) Derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) b) Report the maximum positive bending moment, the maximum negative bending moment, and their respective locations. 36 KN 180 KN-m X B C D 4 m 5 m 3 m Figure 1
The simply supported beam shown in Figure 1 is pin-supported at A and roller-supported at D. la) Replace the distributed loads in Figure 1 by an equivalent resultant force and locate its location with respect to A. {2 + 3 marks 1b) Calculate the reactions at supports A and D. {2 marks 1c) Calculate the shear force and bending moment at point C. {4 marks) 15 kN/m 6 kN/m D B q 3.0 m 3.0 m 3.0 m Figure 1
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine (a) The equation of the elastic curve using the xi and x2 coordinates (b) The slope at A. (c) The deflection at C Take E 200 GPa and1- 4 x 108 mm4 30 kN 20 kNm 4 m 2 m
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine...
3. A simply supported beam is loaded as shown. Determine the maximum deflection of the beam, and slope at A. Use any of the three methods: 1) double integration, 2) moment-area, or 3) conjugate beam 5k 5K (20) DJ E = 29x10° psi I = 600 in4 klokt kloft * loft &
QI A simply supported beam of length L = 10 m carries a uniformly distributed load w of 10 kN/m, as shown in Figure QI (a). The beam is made from a symmetrical I-section and consists of three equal rectangular members of 100 mm x 10 mm (see Figure QI (b)). Self- weight of the beam is neglected. 100 mm w = 10 kN/m A-1 A 100 mm 1/3 L/3 L/3 m [5] Figure Q1 (a) Figure Q1 (b) (a)...
Problem 3 The beam llustrated in figure 3 is clamiped at A and simply supported by a pole at B supported by a roller at B. 40 mm Ay 5 mm 20 kN/m 50 kN Ma 50 mm 5 mm 2 m 2 m 2 m 4 mm Figure 3 Figure 4 a) Determine the reactions of the supports Rp, Ay and MA- b) Using Ay 14 kN, Rg 76 kN and Ma 36 kN.m counterclockwise and the section shown...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
Question 4 Not yet For the simply supported wood beam shown in the figure determine the maximum permissible wheel load W [kN] based upon an allowable shear stress of 0.75 MPa if q=3.72 kN/m L=249 m and d=0.157 m answered Marked out of 12.00 w Flag question Answer
2. Given a simply supported beam shown in figure below with the cross section at maximum moment. The beam supports a uniform service dead load of WDL =30 kN/m (excluding own weight of beam), Pll = 270 kN. Use fc' = 30 MPa; fy = 400 MPa. Calculate design strength OMn for the cross section shown in the figure. Check the strains in the steel esi. LL , 75-40-100 -775 90 90 WOL 710 650 5030 -15000 mm
A 5-m-long simply supported timber beam carries two concentrated loads as shown dimensions of the beam are shown a) At section a-a e the magnitude of the shear stress in the beam at point H. -7748 KNIm in the beam at point K the beam, at any location within the 5-m span length. V occurs in the beam at any location within the 5-m span length.)diagr. the magnitude of the shear stress (b) At section a-a, (e) Determine the maximum...