The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; I = 1120 × 106 mm4]. If w = 68 kN/m and P = 121 kN , determine: Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form ?? = ????????? / ?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis. b) Calculate the value of the deflection at point B due to concentrated load P in the form ?? = ????????? / ?? Note: EI will cancel out in further calculations. Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.   c) Calculate the vertical reaction at support B. When sketching FBD, assume the positive direction of all reactions in the positive direction of y axis. Enter your answer in kN to two decimal places.   d) Calculate the vertical reaction at support D. Enter your answer in kN to two decimal places. e) Calculate the vertical reaction at support A. Enter your answer in kN to two decimal places. Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; I = 1120 × 106 mm4]. If w = 68 kN/m and P = 121 kN , determine:

Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D.

a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form

?? = ????????? / ??

Note: EI will cancel out in further calculations.

Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.

b) Calculate the value of the deflection at point B due to concentrated load P in the form

?? = ????????? / ??

Note: EI will cancel out in further calculations.

Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.

 

c) Calculate the vertical reaction at support B. When sketching FBD, assume the positive direction of all reactions in the positive direction of y axis. Enter your answer in kN to two decimal places.

 

d) Calculate the vertical reaction at support D. Enter your answer in kN to two decimal places.

e) Calculate the vertical reaction at support A. Enter your answer in kN to two decimal places.

Part B. The magnitude of the maximum bending stress in the beam.

f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places.

g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places

AY, V
1.5 m
B
W
3.5 m
P
IVII
C
2.5 m
D
X
Transcribed Image Text:AY, V 1.5 m B W 3.5 m P IVII C 2.5 m D X
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