calculate the slope at the midspan.
calculate the slope at the midspan.
Draw the M/El diagram by parts and neglect the weight of the beam. E 200 GPa & I = 129(10-6) m4. Using the Moment Area Methods complete the following:
(a) Calculate the maximum deflection at the midspan (final answer must be in mm).
(b) Calculate the slope at the midspan.
Homework Answers
The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below.
The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below. The flexural rigidity EI is constant. In terms of El, determine (a) The equations for the slope v'(x) for each segment of the beam. (b) The equations for the deflection v(x) for each segment of the beam. (c) The slope at midspan. (d) BONUS 15%): Determine the maximum vertical deflection, the maximum slope, and the locations of each.
Using Moment area theorems, calculate the slope at A and maximum deflection for the beam shown in figure below
Using Moment area theorems, calculate the slope at A and maximum deflection for the beam shown in figure below. Given E= 200 kN/mm2 and I= 1 x 10-4 m4. [Note: Take 'w' as last digit of your id. If the last digit of your id is zero, then take w = 12] Compare the moment area method with other methods of calculating the deflection of beams.
Using the area moment methods complete the following: E= 150 G Pa & I-65 x 100...
Using the area moment methods complete the following: E= 150 G Pa & I-65 x 100 mm [10] A. Draw the bending moment diagram by parts (Must clearly show how this was achieved) ) B. Calculate the slope at the free end of the cantilever (final answer must be degrees) A. The deflection at the free end of the cantilever (final answer must be mm) [4+3] 1531 [5+3] 80 KN 20 kN/m 2m → 2m → 2m 2m →E
Draw the M/El diagram by parts along with the combined moment diagram
Draw the M/El diagram by parts along with the combined moment diagram. Use the moment-area method to find (a) the slope at the free end, (b) the maximum deflection, and (c) deflection at the middle of the simply supported beam shown in the Fig. 1., E=29x103 kip/in2. and I = 209 in4.
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w...
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...
PLEASE PROVIDE THE SLOPE AND DEFELCTION DIAGRAM!!!!!!!!!!!!!! 7) A beam is supported and loaded as shown...
PLEASE PROVIDE THE SLOPE AND DEFELCTION
DIAGRAM!!!!!!!!!!!!!!
7) A beam is supported and loaded as shown below. Find the reactions, maximum shear, maximum moment, maximum slope, maximum bending stress, and maximum deflection for the data given. Draw loading, shear, moment, slope, and deflection diagrams. -8 4 Givens: 1 0.70 m, a = 0.10 m, b 0.60 m, w 80 N/m, F = 500 N,1 = 2.1x10m c 6.5x10 m, E = 207 GPa / R3 R1 R2
7) A beam...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w...
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...
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...
10k Using the Moment-Area Method, calculate the deflection of the beam at midspan. I- 100 in4...
10k Using the Moment-Area Method, calculate the deflection of the beam at midspan. I- 100 in4 and E 29,000 ksi le 10 3
3.) Determine the maximum deflection and the maximum slope for beam shown below using either the...
3.) Determine the maximum deflection and the maximum slope for beam shown below using either the moment area method or the conjugate beam method. (25P) 120 kN A AE ー10m ㅡㅡ 5 m EI constant E -200 GPa 1 = 700(106) mnm4
Using the area moment methods complete the following: E= 150 G Pa & I-65 x 100 mm [10] A. Draw the bending moment diagram by parts (Must clearly show how this was achieved) ) B. Calculate the slope at the free end of the cantilever (final answer must be degrees) A. The deflection at the free end of the cantilever (final answer must be mm) [4+3] 1531 [5+3] 80 KN 20 kN/m 2m → 2m → 2m 2m →E
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...
PLEASE PROVIDE THE SLOPE AND DEFELCTION
DIAGRAM!!!!!!!!!!!!!!
7) A beam is supported and loaded as shown below. Find the reactions, maximum shear, maximum moment, maximum slope, maximum bending stress, and maximum deflection for the data given. Draw loading, shear, moment, slope, and deflection diagrams. -8 4 Givens: 1 0.70 m, a = 0.10 m, b 0.60 m, w 80 N/m, F = 500 N,1 = 2.1x10m c 6.5x10 m, E = 207 GPa / R3 R1 R2
7) A beam...
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...
10k Using the Moment-Area Method, calculate the deflection of the beam at midspan. I- 100 in4 and E 29,000 ksi le 10 3
3.) Determine the maximum deflection and the maximum slope for beam shown below using either the moment area method or the conjugate beam method. (25P) 120 kN A AE ー10m ㅡㅡ 5 m EI constant E -200 GPa 1 = 700(106) mnm4
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