Homework Answers
* m For the following Beam Use the Moment Distribution method to determine the reaction at...
* m For the following Beam Use the Moment Distribution method to determine the reaction at the support B (kN) w=9 kN/m P=6.25 w (kN); For example, if w=24, then P=24*6.25 - 150 KN E-200GPa 1=6,000 cm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative w(kN/m) P(kN) P(kN) А B С be 20 m . 5 m n...
For the following Beam E=200GPa I=6000 cm Use the Slope-Deflection method to determine The reaction at...
For the following Beam E=200GPa I=6000 cm Use the Slope-Deflection method to determine The reaction at support Bif this support settles 55 mm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative A B С 10 m 4 m 4 m
For the following Frame Use the Moment Distribution method to determine the reaction at the support...
For the following Frame Use the Moment Distribution method to determine the reaction at the support B (kN) P1-159 kN P2-0.6*P1 (kN): For example, if p1=100, then P-100*0.6 - 60 kN E-200GPa 1=6,000 cm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative P1(kN) P2(kN) B С 5 m A. D 3 m 3 m 3 m
A propped cantilever beam is loaded as shown. Assume that EI = 250,000 kN-m2, and use...
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
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
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
please answer correctly!! 12 KN 3 kN/m Fixed support B А Roller support 3 m 3...
please answer correctly!!
12 KN 3 kN/m Fixed support B А Roller support 3 m 3 m A beam is fixed at A and supported by a roller at B. The beam has E = 100 GPa and I 1.0 x 10-5 m4. For the loading shown, complete the following: 1. Calculate the magnitude and direction of all reactions at A. 2. Calculate the magnitude and direction of all reactions at B. 3. Calculate the magnitude and direction of the...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments (a) Find the location x and the corresponding bending moment M at the one point between A and D at which the shear force equals zero. (b) Consider the entire beam and determine the...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
For the beam below, let the uniform distributed load (w) be 15 kN/m and the beam...
For the beam below, let the uniform distributed load (w) be 15 kN/m and the beam spans length (L) be 5 m, and El=1000.0 kN/m . Taking redundant Rgt, use the force method to solve: w В + L L (1) 48 (m) for the primary beam; (2) 888 (m) for the primary beam with redundant Rg= 1 kN; (3) The vertical reaction Rg (kN); (4) The vertical reaction RA (kN); (5) The vertical reaction Rc (kN); < (6) The...
* m For the following Beam Use the Moment Distribution method to determine the reaction at the support B (kN) w=9 kN/m P=6.25 w (kN); For example, if w=24, then P=24*6.25 - 150 KN E-200GPa 1=6,000 cm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative w(kN/m) P(kN) P(kN) А B С be 20 m . 5 m n...
For the following Beam E=200GPa I=6000 cm Use the Slope-Deflection method to determine The reaction at support Bif this support settles 55 mm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative A B С 10 m 4 m 4 m
For the following Frame Use the Moment Distribution method to determine the reaction at the support B (kN) P1-159 kN P2-0.6*P1 (kN): For example, if p1=100, then P-100*0.6 - 60 kN E-200GPa 1=6,000 cm Remember Forces to the right and up are entered as positive, left and down are entered as negative. Counterclockwise moments are entered as positive, clockwise moments are entered as negative P1(kN) P2(kN) B С 5 m A. D 3 m 3 m 3 m
A propped cantilever beam is loaded as shown. Assume that
EI = 250,000 kN-m2, and use discontinuity
functions to determine
(a) the reactions at A and B.
(b) the beam deflection at C.
The reaction forces are positive if up and negative if down. The
reaction moment is positive if counterclockwise and negative if
clockwise.
Assume LAB = 5.4 m, LBC =
2.9 m, MC = 700 kN-m.
V Mc X A B LAB LBC Answers: (a) Ay = KN...
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
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
please answer correctly!!
12 KN 3 kN/m Fixed support B А Roller support 3 m 3 m A beam is fixed at A and supported by a roller at B. The beam has E = 100 GPa and I 1.0 x 10-5 m4. For the loading shown, complete the following: 1. Calculate the magnitude and direction of all reactions at A. 2. Calculate the magnitude and direction of all reactions at B. 3. Calculate the magnitude and direction of the...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments (a) Find the location x and the corresponding bending moment M at the one point between A and D at which the shear force equals zero. (b) Consider the entire beam and determine the...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
For the beam below, let the uniform distributed load (w) be 15 kN/m and the beam spans length (L) be 5 m, and El=1000.0 kN/m . Taking redundant Rgt, use the force method to solve: w В + L L (1) 48 (m) for the primary beam; (2) 888 (m) for the primary beam with redundant Rg= 1 kN; (3) The vertical reaction Rg (kN); (4) The vertical reaction RA (kN); (5) The vertical reaction Rc (kN); < (6) The...
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