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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...
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...
Please indicate all solutions and equations legibly. Thank you For the beam subjected to the load...
Please indicate all solutions and equations legibly.
Thank you
For the beam subjected to the load shown determine the following (El is constant): a. b. 3. Using the method of superposition (and with the help of Appendix C of Hibbeler), determine the deflection at C Sketch the M/EI diagram of the beam (you may use the method of superposition and create a M/El diagram for each of the loads) (BONUS) Confirm your answers by using the moment-area method (you may...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned,...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
Please help. Have started but am struggling Using Macaulay's method, calculate the deflection under the concentrated...
Please help. Have started but am struggling
Using Macaulay's method, calculate the deflection under the concentrated load and the slope at C of a propped cantilever beam loaded as shown in the Figure 2 below in terms of El. 80 kN 50 KN 30 kN/m A D 2 m 4 m 4 m B С MIDA = (30/10) (80X8Xa) (50) X 6) (1) 12 + + = 347.6 kN/m MAD = -(30)/10) - (80)8) (2) - (50Y4)2/6) 12 -400.4 kN/m...
Consider the beam ABC of length L [m] in Figure 1 below, with simple supports at...
Consider the beam ABC of length L [m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P [N] at point B. You may assume the beam to be weightless in your analysis. Figure 1: Schematic of beam ABC. Part (a) Determine the vertical reaction forces at points A and C in terms of P. Part (b) Determine expressions (in terms of P and L) for the shear force, V(x) and the bending...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...
3 please show all work 3) The machine casting and casting cross-section shown are subject to...
3 please show all work
3) The machine casting and casting cross-section shown are subject to a shear force V 5000 lbs. Determine the shear flow (q) and the shear stress (t) at the interface between the top flange (4"x0.5") and the web (0.5"x1.5"). The neutral axis is 1.477 inches from the bottom and the centroidal moment of inertia 0.7278 in4 4 in. 2 in. 0.3 in. 0.5 in. 4.) For the cantilever beam loading shown in the figure for...
Need help!! 1. (25 Points) In the figure below, figure (a) shows a uniform beam subject...
Need help!!
1. (25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with 4 120EIL where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of thee following quantities (take the derivatives by hand) and plot...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
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...
Please indicate all solutions and equations legibly.
Thank you
For the beam subjected to the load shown determine the following (El is constant): a. b. 3. Using the method of superposition (and with the help of Appendix C of Hibbeler), determine the deflection at C Sketch the M/EI diagram of the beam (you may use the method of superposition and create a M/El diagram for each of the loads) (BONUS) Confirm your answers by using the moment-area method (you may...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
Please help. Have started but am struggling
Using Macaulay's method, calculate the deflection under the concentrated load and the slope at C of a propped cantilever beam loaded as shown in the Figure 2 below in terms of El. 80 kN 50 KN 30 kN/m A D 2 m 4 m 4 m B С MIDA = (30/10) (80X8Xa) (50) X 6) (1) 12 + + = 347.6 kN/m MAD = -(30)/10) - (80)8) (2) - (50Y4)2/6) 12 -400.4 kN/m...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...
3 please show all work
3) The machine casting and casting cross-section shown are subject to a shear force V 5000 lbs. Determine the shear flow (q) and the shear stress (t) at the interface between the top flange (4"x0.5") and the web (0.5"x1.5"). The neutral axis is 1.477 inches from the bottom and the centroidal moment of inertia 0.7278 in4 4 in. 2 in. 0.3 in. 0.5 in. 4.) For the cantilever beam loading shown in the figure for...
Need help!!
1. (25 Points) In the figure below, figure (a) shows a uniform beam subject to a linearly increasing distributed load which starts a 0 at the left end and increases to Wo on the right end. As depicted in (b), the beam deflection can be computed with 4 120EIL where E is the modulus of elasticity [kN/cm2] and I is the moment of inertia [cm]. Calculate each of thee following quantities (take the derivatives by hand) and plot...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
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