Homework Answers
8 kN D 120 kN.m В vс UD A С -10 m -20 m Loading Loading...
8 kN D 120 kN.m В vс UD A С -10 m -20 m Loading Loading Function w = w(x) Shear V =%w(x)dx Moment M = /Vdx (1) M w = M. (x-a)-2 V = M (x-a)-1 M = M,(x-a) (2) AP w = P(x-a)-1 V = P(x-a) M = P(x-a)' (3) w = wo(x-a) V = wo(x-a)' M= wo 2 (x-a)? à slope = m w = m(x-a) V = 12 (x-a)? M= m (–a); X Using Macaulay functions,...
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, U...
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, Use x-y axes as shown. Do not change x-y coordinates. Answers: M56 kN-mx4.09 kN-m
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for...
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 ...
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1 Use the Slop...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for...
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for internal shear force and bending moment (V(x) & M(x)), draw shear and moment (V & M) diagrams, and find the maximum positive and negative (+ & shear forces and bending moments in the beam. Answers to SP3
The steel beam has the configuration, loading pattern and cross-sectional area shown in Figure 8. Assuming w = 5 kN/m, d...
The steel beam has the configuration, loading pattern and
cross-sectional area shown in Figure 8.
Assuming w = 5 kN/m, determine:
a) the reactions at each end of the beam
b) the second moment of area of the section about the relevant
axis of bending
c) the maximum shear stress and associated distribution of shear
stresses in the beam
d) the maximum bending stress and distribution of bending
stresses in the beam
0.8 m 0.8 m 0.8 m 8 cm...
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) Usi...
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...
Draw a free-body diagram of the segment 8≤x<14 m where x is in meters on paper....
Draw a free-body diagram of the segment 8≤x<14 m
where x is in meters on paper. Write expressions for the
internal shear, V, and moment, M,
over this segment. (the answer requires x)
Learning Goal: To determine all of the reactive forces and moments acting on a beam, express the shear and bending moment as functions of their positions along the beam, and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A...
Question 26: Draw M diagram for the beam and loading shown in figure 34, USE slope-...
Question 26: Draw M diagram for the beam and loading shown in figure 34, USE slope- deflection equations. El is constant. Given: L1= 5m L2= 1m L3= 5m F= 10 KN W= 10 KN/m M=17 KN.m W +11/2+11/2 2/2 315/2
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam...
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam and loading shown, (b) the maximum absolute value of the bending moment in the beam. Answ: V(x) = -W. (x-x?/2L- L/3); M(x) = wo (x3/6L – x²/2 +Lx/3); Mmax = 0.0642wol?
8 kN D 120 kN.m В vс UD A С -10 m -20 m Loading Loading Function w = w(x) Shear V =%w(x)dx Moment M = /Vdx (1) M w = M. (x-a)-2 V = M (x-a)-1 M = M,(x-a) (2) AP w = P(x-a)-1 V = P(x-a) M = P(x-a)' (3) w = wo(x-a) V = wo(x-a)' M= wo 2 (x-a)? à slope = m w = m(x-a) V = 12 (x-a)? M= m (–a); X Using Macaulay functions,...
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for all segments of the beam from 20 kN 0 kN 8 kN/m x =-4 to x = 8, Use x-y axes as shown. Do not change x-y coordinates. Answers: M56 kN-mx4.09 kN-m
Question 1: (20 Points) For the beam and loading shown: a- Draw shear and moment diagrams. b- Write equations of shear and moment for...
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A...
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
Use the Slope-Deflection Method to analyse the structure of Figure 1 and draw the shear force, axial force, and bending moment diagrams 4 m (1.5 EI) 20 KN/m 10 KN/m 50 kN.m Figure 1
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for internal shear force and bending moment (V(x) & M(x)), draw shear and moment (V & M) diagrams, and find the maximum positive and negative (+ & shear forces and bending moments in the beam. Answers to SP3
The steel beam has the configuration, loading pattern and
cross-sectional area shown in Figure 8.
Assuming w = 5 kN/m, determine:
a) the reactions at each end of the beam
b) the second moment of area of the section about the relevant
axis of bending
c) the maximum shear stress and associated distribution of shear
stresses in the beam
d) the maximum bending stress and distribution of bending
stresses in the beam
0.8 m 0.8 m 0.8 m 8 cm...
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...
Draw a free-body diagram of the segment 8≤x<14 m
where x is in meters on paper. Write expressions for the
internal shear, V, and moment, M,
over this segment. (the answer requires x)
Learning Goal: To determine all of the reactive forces and moments acting on a beam, express the shear and bending moment as functions of their positions along the beam, and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A...
Question 26: Draw M diagram for the beam and loading shown in figure 34, USE slope- deflection equations. El is constant. Given: L1= 5m L2= 1m L3= 5m F= 10 KN W= 10 KN/m M=17 KN.m W +11/2+11/2 2/2 315/2
PROBLEM 5.53 w=w0(1-1/2 Determine (a) the equations of the shear and bending-moment curves for the beam and loading shown, (b) the maximum absolute value of the bending moment in the beam. Answ: V(x) = -W. (x-x?/2L- L/3); M(x) = wo (x3/6L – x²/2 +Lx/3); Mmax = 0.0642wol?
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