Question

I. BEAM IN BENDING Examine the simply supported beam AB of length 2L having the Young's modulus E and a symmetric hollow rectangular section (see Figure 1). The beam is subjected to a distributed load $q$, a moment $M_o$ and a concentrated load P. Given that: L=2m, $q$=2 kN/m, P=8 kN, $M_o$=4 kNm, b=8 cm, h=10 cm, d = 5 cm, E=200 GPa. 1. Shear force and moment diagrams Determine the following: 1). The reactions at A and B 2). The shear force and moment diagrams 3). The resist bending moment $W$ of the beam section 4). The value of maximum normal stress $\sigma$ 2. Deformations of beam Determine the rotation $\theta$ and the deflection at the middle point D of the beam by use of Macaulay's method.

          I. BEAM IN BENDING
Examine the simply supported beam AB of length 2L having the Young's modulus E and
a symmetric hollow rectangular section (see Figure 1). The beam is subjected to a
distributed load $q$, a moment $M_o$ and a concentrated load P. Given that: L=2m, $q$=2 kN/m,
P=8 kN, $M_o$=4 kNm, b=8 cm, h=10 cm, d = 5 cm, E=200 GPa.
1. Shear force and moment diagrams
Determine the following:
1). The reactions at A and B
2). The shear force and moment diagrams
3). The resist bending moment $W$ of the beam section
4). The value of maximum normal stress $\sigma$
2. Deformations of beam
Determine the rotation $\theta$ and the deflection at the middle point D of the beam by
use of Macaulay's method.

I. BEAM IN BENDING
Examine the simply supported beam AB of length 2L having the Young's modulus E and
a symmetric hollow rectangular section (see Figure 1). The beam is subjected to a
distributed load q, a moment Mo and a concentrated load P. Given that: L=2m, q=2 kN/m,
P=8 kN, Mo=4 kNm, b=8 cm, h=10 cm, d = 5 cm, E=200 GPa.
1. Shear force and moment diagrams
Determine the following:
1). The reactions at A and B
2). The shear force and moment diagrams
3). The resist bending moment W of the beam section
4). The value of maximum normal stress σ
2. Deformations of beam
Determine the rotation θ and the deflection at the middle point D of the beam by
use of Macaulay's method.

Added by Alexander P.

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