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A steel beam, of lengths a=4 m and b=4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q=4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v q A Part B a 5 mm 200 mm Дв 300 mm b C Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0≤x≤ a vEI = F(x) + C₁ x + C3 vEI = G(x) + C₂x + C4 for a ≤ x ≤a+b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places.

A steel beam, of lengths a=4 m and b=4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q=4.2 kN/m for AB span; and is constant with q=4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. y, v q A Part B a 5 mm 200 mm Дв 300 mm b C Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0≤x≤ a vEI = F(x) + C₁ x + C3 vEI = G(x) + C₂x + C4 for a ≤ x ≤a+b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A steel beam, of lengths a=4 m and b=4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= 4.2 kN/m for AB span; and is constant with q= 4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. Y, V 9 A Part B a 5 mm 200 mm 300 mm B b с Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI = F(x) + C₁x + C3 for 0 ≤ x ≤ a VEI = G(x) + C₂x + C4 for a ≤x≤ a + b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places. g) the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
Transcribed Image Text:A steel beam, of lengths a=4 m and b=4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= 4.2 kN/m for AB span; and is constant with q= 4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. Y, V 9 A Part B a 5 mm 200 mm 300 mm B b с Figure Q.1 d) the maximum normal stress in the cross-section of the beam. Enter the positive value of the stress. Enter your answer in MPa to two decimal places. Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI = F(x) + C₁x + C3 for 0 ≤ x ≤ a VEI = G(x) + C₂x + C4 for a ≤x≤ a + b Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places. g) the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
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A steel beam, of lengths a= 4 m and b= 4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q= 4.2 kN/m for AB span; and is constant with q= 4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. V, V یییییللللقصف a 5 mm 200 mm 300 mm B b Figure Q.1 g) the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
Transcribed Image Text:A steel beam, of lengths a= 4 m and b= 4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q= 4.2 kN/m for AB span; and is constant with q= 4.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. V, V یییییللللقصف a 5 mm 200 mm 300 mm B b Figure Q.1 g) the value of the deflection at point C. Enter your answer in mm to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
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