Homework Answers
As the beam is cantilever beam therefore it only have net forces in x and y direction and net moment acting on the cantilever beam.
To convert uniform varying load to point load {(1/2)*width*force} it will be act at a distance one third from the base of width.
And to convert uniform distribution load to point load it will be act at centre of total width and point load will be load*total width.
A 9m span simply supported beam carries a load varying from 20KN/m at left end to 40KN/m at the r...
A 9m span simply supported beam carries a load varying from 20KN/m at left end to 40KN/m at the right end. The variation is reported to be linear. You are required to find the following: a) slopes at support b) position and magnitude of maximum deflection E=200GPa and I=12000cm4
A solid circular cantilevered beam is subjected to, at the free end, a downward transverse force...
A solid circular cantilevered beam is subjected to, at the free end, a downward transverse force P, a torque T and a centric (axial) load F. Given that its diameter is 60 mm, T = 0.1P Nm and F = 10P N. (a) Determine the largest value of the load P that can be applied if the allowable stresses are 100 MPa in tension and 60 MPa in shear on a section at 120 mm from the free end. Take...
One end of a 1.2-m-long beam is hinged to a vertical wall and the other end...
One end of a 1.2-m-long beam is hinged to a vertical wall and the other end is held up by a thin wire as shown in the figure below. The wire will break if its tension exceeds 800 N . What is the maximum mass that the beam can have and still be supported by the wire? Express your answer in kilograms to two significant figures.
10.A beam 5.9 m long is fixed at right end (point C) and free at the...
10.A beam 5.9 m long is fixed at right end (point C) and free at the left end (point A). A uniformly distributed load with a magnitude of 2.3 KN/m is carried by the beam from the left to a 3.3 m span at point B. The distributed load is increased to 4.6 KN/m from point B to point C. a. What is the magnitude of the vertical reaction (KN) at point C? b. What is the magnitude of the...
Question 1: A beam made of cast iron is fixed to a rigid wall on the...
Question 1: A beam made of cast iron is fixed to a rigid wall on the left end. Yield strength of the cast iron is 270 MPa. At the right free end, an axial tensile force P is applied along the middle bottom of the beam, as shown in the following figure. Its cross section is an equilateral triangle with h=13 mm (note h #b for the triangle). The moment of inertia for the triangle is shown by the formula...
QUESTION 42 A 2-m-long, cantilevered beam has a 4 kN load applied at its free end...
QUESTION 42 A 2-m-long, cantilevered beam has a 4 kN load applied at its free end and a 2 kN load applied at the beam midpoint as illustrated here. The correct shear diagram for this beam is: 2 m 12 KN
Question 4 A uniform beam of arbitrary, unsymmetrical cross-section and length 21 is built-in at one end and simply supported in the vertical direction at a point half-way along its length. This supp...
Question 4 A uniform beam of arbitrary, unsymmetrical cross-section and length 21 is built-in at one end and simply supported in the vertical direction at a point half-way along its length. This support, however, allows the beam to deflect freely in the horizontal x direction (Figure Q4) For a vertical load W applied at the free end of the beam, calculate and draw the bending moment diagram, putting in the principal values. Figure Q4 [Answers: M.-0, MB-WI, MA--W1/2 linear distribution...
A uniform 100 N beam that is 10 m long is attached to a wall by...
A uniform 100 N beam that is 10 m long is attached to a wall
by a cable as shown in the figure below. A small but dense 50 N
weight is placed on the beam 6 m from the wall and the system is in
equilibrium. Find the horizontal and vertical reaction force from
the wall.
6 m 30° 10 m
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the...
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the figure below. The beam has a rectangular cross-section and supports a uniform dead load (DL) of 15 kN/m (excluding the self-weight) and a uniform live load (LL) of 25 kN/m. The beam width is restricted to 400 mm. Use 10M stirrups and 25M bars for tension steel. The maximum aggregate size is 20 mm. 1ie 5.5. beam is located in the...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m al...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
Question 1: A beam made of cast iron is fixed to a rigid wall on the left end. Yield strength of the cast iron is 270 MPa. At the right free end, an axial tensile force P is applied along the middle bottom of the beam, as shown in the following figure. Its cross section is an equilateral triangle with h=13 mm (note h #b for the triangle). The moment of inertia for the triangle is shown by the formula...
QUESTION 42 A 2-m-long, cantilevered beam has a 4 kN load applied at its free end and a 2 kN load applied at the beam midpoint as illustrated here. The correct shear diagram for this beam is: 2 m 12 KN
Question 4 A uniform beam of arbitrary, unsymmetrical cross-section and length 21 is built-in at one end and simply supported in the vertical direction at a point half-way along its length. This support, however, allows the beam to deflect freely in the horizontal x direction (Figure Q4) For a vertical load W applied at the free end of the beam, calculate and draw the bending moment diagram, putting in the principal values. Figure Q4 [Answers: M.-0, MB-WI, MA--W1/2 linear distribution...
A uniform 100 N beam that is 10 m long is attached to a wall
by a cable as shown in the figure below. A small but dense 50 N
weight is placed on the beam 6 m from the wall and the system is in
equilibrium. Find the horizontal and vertical reaction force from
the wall.
6 m 30° 10 m
A reinforced concrete cantilevered beam with a span of 5 m extends from the wall, as shown in the figure below. The beam has a rectangular cross-section and supports a uniform dead load (DL) of 15 kN/m (excluding the self-weight) and a uniform live load (LL) of 25 kN/m. The beam width is restricted to 400 mm. Use 10M stirrups and 25M bars for tension steel. The maximum aggregate size is 20 mm. 1ie 5.5. beam is located in the...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
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