Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment of M - 160 kNm. Steel reinforcement consists of 4 bars of 28-mm diameter. The modulus of elasticity for the concrete is E = 25 GPa while that of the steel is E, = 200 GPa. (a) Find the maximum stresses in steel and concrete. (b) If allowable stresses for concrete and steel are = 9.2 MPa and 0 -135 MPa, respectively, what is...
A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q= 30 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses σw and σs, in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew =...
A wood beam (1) is reinforced on its lower surface by a steel
plate (2) as shown in the figure. Dimensions of the cross section
are b 1 = 220 mm , d = 385 mm , b 2 = 190 mm , and t = 25 mm . The
elastic moduli of the wood and steel are E 1 = 12.5 GPa and E 2 =
200 GPa , respectively. The allowable bending stresses of the wood
and steel...
Hi
Can you solve the following question through the Transformation
method please?
Can you please solve this
question?
Regards
.2-5 A hollow box beam is constructed with webs ouglas-fir plywood and flanges of pine, as shown in the figure in a cross-sectional view. The plywood is 24 mm thick and 300 mm wide; the flanges are 50 mm x 100 mm (actual size). The modulus of elastic- ity for the plywood is 11 GPa and for the pine is 8...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of elasticity for the steel is E = 200 GPa 150 mm 20 mm 150 mm 150 mm 10 mm M '10 mm 300 mm А Figure 1 (1) If the allowable tensile and compressive stress for the beam are allow tension = 140 MPa and o = 210 MPa. allow compression respectively, determine the maximum allowable internal moment M that can be applied Determine...
4kN 150 mm 2kN Problem 1, subjected to two concentrated forces and has a as shown in the figures The cantilever beam, (fixed at A)s 0 mm30 mm -30 mm (a) Determine the maximum shear stress on the section (b) Determine the maximum bending stress in compression and in tension (c) If the allowable bending stress (for tension and compression) is ơao.-6 MPa, calculate the new minimum required section modulus.
4kN 150 mm 2kN Problem 1, subjected to two concentrated...
In order to reinforce the steel beam, an oak board is placed between its flanges as shown in Fig. 6-41a. If the allowable normal stress for the steel is (Onllow)st-168 MPa, and for the wood (Onllow)W-21 MPa determine the maximum bending moment the beam can support, with and without the wood reinforcement. Est-200 GPa, Ew-12 GPa. The moment of inertia of the steel beam is Iz-7.93 × 106 mm4 and its cross-sectional area is A 5493.75 mm2. 100 m 5...