could you please answer question A and C 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 andheight 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 theintensity 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, vcomiumBa5 mm200 mmFigure Q.1300 mmbCXCalculate:a) the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the positive direction of yaxis. Enter youranswer in kN to three decimal places.c) the value of the maximum bending moment in the beam. Enter your answer in kNm to three decimal places.Note: when deriving internal moment equations, use the following orientation of x coordinate:• Segment AB: x changes from 0 at support A to a at support B. After making the cut, keep the part of the beam left from the cut.• Segment BC: xchanges from a at support B to L at point C, where L = a + b. After making the cut, keep the part of the beam right from the cut, i.e. distancefrom point Cto the cut is equal L-x.

The free body diagram is-The moment equilibrium condition at point B is-

Answered: mm and 300 mm, respectively, and the…

mm and 300 mm, respectively, and the wall thickness of the cross sec = 0 kN/m to q = 4.2 kN/m for AB span; and is constant with q=4.2 kN/ y, v 9 A Дв

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

could you please answer question A and C

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
comium
B
a
5 mm
200 mm
Figure Q.1
300 mm
b
C
X
Calculate:
a) the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the positive direction of yaxis. Enter your
answer in kN to three decimal places.
c) the value of the maximum bending moment in the beam. Enter your answer in kNm to three decimal places.
Note: when deriving internal moment equations, use the following orientation of x coordinate:
• Segment AB: x changes from 0 at support A to a at support B. After making the cut, keep the part of the beam left from the cut.
• Segment BC: xchanges from a at support B to L at point C, where L = a + b. After making the cut, keep the part of the beam right from the cut, i.e. distance
from point Cto the cut is equal L-x.

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