Could this please be solved without carrying the UDL across and under.
A beam 8m long (see attached) is simply supported at R1 and R2,
and carries point loads of 30kN and 50kN at 2m and 6m respectively
from the left hand end, together with uniformly distributed loads
of 25kN/m over the portion 4m between the concentrated loads.
E=200GN/m^2 and I=0.00018m^4
A) calculate reactions R1 and R2
B) calculate deflection at center
C) calculate slope at center
D) calculate the position and magnitude of the maximum
deflection
Could this please be solved without carrying the UDL across and under. A beam 8m long...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
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Torking stress in either tension or compression is AMS. 92.8 mm x 185.6 mm o MPa. am 3 m long is simply supported at each end and carries a uniformly distributed load of 10 kN/m. The beam at rectangular cross section, 75 mm x 150 mm. Determine the magnitude and location of the peak bending ress. Also, find the magnitude of the bending stress at a point 25 mm below the upper surface at the section midway betwcen supports....
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...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
Consider one span of a continuous beam has a concentrated load P=120kN applied at mid-span. The span of the beam L=6m. P L/2 M CE M L In order to solve for the deflection of the beam, the structure can be computed by superimposing the following three system I, II and II. II (III M M - A 00 B A А B System 1 System II System 111 Final Solution System I is a simply supported beam with a...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P= 10 KN W = 10 kN/m 200 mm 5 m 5 m...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P = 10 kN W = 10 kN/m 200 mm 5 m 5...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P = 10 kN w = 10 kN/m 200 mm 5 m 5...