Problème 3 The 150 X 250-mm timber beam has been stre by bolting to it the steel reinforcement shown. The modulus of elas wood is 12 GPa and for steel 200 GPa. Knowing that the beam is b a horizontal axis by a couple of moment M = 60 kN-m , determine imum stress in (a) the wood, (b) the steel. 150 mm
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- The concrete post is reinforced axially with four symmetrically placed steel bars, each of cross-sectional area 900 mm2. Compute the stress in each material when the 1000-kN axial load is applied. The moduli of elasticity are 200 GPa for steel and 14 GPa for concrete. Compatibiltiy Equation . Ust Bearing |1000 kN plate Steel- Concrete 300 mm 300 mm Section a-ahinz 1. For the beam cross section below, determine the amount of steel As required to cause the strain in the tension steel & to be 0.005 just as the maximum strain in the concrete reaches 0.003. fc' = 3000 psi and fy = 60,000 psi. N.A. b= 10"- Cross Section d = 23" [7422 4233 134 S THE THE CALE DES 2 23-c me Like phans 0.005 PANE Strain 0.003 P HOME st 0.85f Stress 6 I.C. Nc NT * * * * * DelormeQuestion 8 1 p The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28 bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec=23,500MPa and Es = 200,000MPa. Dead load is 18KN/m and live load is 12KN/m. f'c = 25MPa 800 TE 730 N12 ligs (fsv.t-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Calculate the concrete stresses in tension and compression of the reinforcement concrete beam shown in Figure 3. Compression concrete stress Choose ] Tension Concrete stress Choose]
- A TIMBER BLOCK "B x B" mm SQUARE IS REINFORCED ON OPPOSITE SIDES BY A "B" mm AND 't' mm THICK STEEL PLATES. DETERMINE THE THICKNESS 't' SO THAT THE ASSEMBLY WILL SUPPORT AN AXIAL LOAD OF 1000 KN WITHOUT EXCEEDING A MAXIMUM TIMBER STRESS OF 12 MPa OR A MAXIMUM STRESS IN STEEL OF 350 MPa. MODULUS OF ELASTICITY OF STEEL AND TIMBER ARE 210 GPa & 7 GPa RESPECTIVELY. B t B t PROB 04A plank of wood is to be tested for its compressive strength, the cross-section of the timber is 200mmX200mm and 500mm tall. The result of the test gave 408KN before breaking. given E=9.72GPa Determine the maximum compressive stress taken by the wood a. 10.20MPA O b. 10.20Pa O c. 0.0102MPA O d. 0.0102Pa 22. Determine the elongation of the wood before breaking a. 5.246mm b. 52.46mm c. 0.05246mm O d. 0.5246mmA concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6 - ø20 mm bars in two rows with 25 mm vertical clear spacing. Use material strength f'c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = _______ Depth of uniform stress block at ultimate stage in mm to the neares whole number = _______ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________
- (1) (2) steel stress-strain Curve Es= Esteel = what is f db #3 #4 #5 #6 #7 #8 #9 #10 ksi 0.005 Ab FOR Grade 60 steel. E Ey = when fs = 45 ksi lbs/ft_ when Es=0.005A simply supported beam is reinforced with 4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'=28 MPa, fy=415 MPa. Assume bars laid out in single layer. Calculate the following if the limitin tensile steel strains is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = _____________mm Design strength of the beam section to the nearest whole number =____________ kN-m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____________ kN/m (to the nearest whole number)Determine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 340 mm Thickness of flange tf = 140 mm Effective depth d = 350mm Effective concretee covering d' = 75mm Compressive strength of concrete fc' = 34.5 MPa Yield stress of steel bar fy = 375 MPa Mu = 415 kN-m As = _________ mm2
- 3. The manufactures wood beam carries a uniformly distributed load of intensity wo Determine the largest safe value of w, if the shear stress in the wood is limited to 300psi. 1.0 ft Wo 4 ft 1.0 ft 0.75 in. 4 in. 0.75 in. 5 in. -0.75 in. -NA I= 46.7 in.A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-25 mm diameters bars in two rows with 25 mm vertical clear spacing. Use material strengths f'c = 21 MPa and fy = 415 Mpa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm Depth of uniform stress block at ultimate stage in mm to the nearest whole number Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places3) A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-∅25 mm bars in two rows with 25 mm vertical clear spacing. Use material strengths f’c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = ___________ Depth of uniform stress block at ultimate stage in mm to the nearest whole number = ___________ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________