Two 1/4 in. thick plywood sheets are joined by a 3/8 in. diameter bolt that transfers a shear force of 500 lb. Assume that the allowable stress in bearing for the plywood is 400lb/in^2. Is the plywood overstressed in bearing?
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Two 1/4 in. thick plywood sheets are joined by a 3/8 in. diameter bolt that transfers a shear force of 500 lb. Assume that the allowable stress in bearing for the plywood is 400lb/in^2. Is the plywood overstressed in bearing?
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- A 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)A 200 mm × 220 mm timber post is subject to an unknown axial compressive load(F) that is eccentric to both principal axes as shown below. If the axial stress is2.4 MPa then:(a) What is the compressive load?(b) What are the applied moments in the x and y directions?(c) What are the moments of inertia in the x and y directions.(d) At what corner does the maximum stress occur? State whether it is tensile or compressive?` (e) Calculate the maximum stress at the corneProblem Solving: A rectangular beam has dimensions of 250 mm by 625 mm with an effective depth (distance from extreme fiber in tension to the centroid of the reinforcing bars) of 575 mm and is reinforced with three 25 mmp. The concrete cylinder strength f.' = 27.6 MPa and the tensile strength in bending (modulus of rupture) is 3.28 MPa. The yield point of the steel is 414.7 MPa. The beam carries a bending moment of 61 kN.m. E_ = 200000 MPa. E_ = 4700,f. Using the transformed area method, determine the stress in the extreme fiber in compression.
- Situation: A beam has a width of 300 mm and total depth of 600 mm strength f'c-36 MPa. Steel yield strength fy=415 MPa The section is to be reinforced for tension only and the effective concrete cover is 65 mm. Which of the following most nearly gives the value of our balanced steel ratio? a. 0.00370 b. 0.03456 C. 0.02860 d. 0.03522 Which of the following most nearly gives the value of our balanced distance of the cuter most fiber of compression fiber to our neutral axis? a. 313.256 mm b. 354.68 mm C. 333.333 mm d. 322.435 mm Which of the following most nearly gives the value of our balanced depth of compression block? a. 248.412 mm b. 266.2676 mm C. 301.478 mm d. 281.261 mmThe two pieces of wood, 2 in. by 4 in., are glued together along the 40° joint. Determine the maximum safe axial load P that can be applied if the shear stress in the glue is limited to 250 psi.Question 2A composite bar is made up of a steel strip 2 mm thick and 12 mm wide, sandwichedbetween two aluminium strips each 3 mm thick and 12 mm wide. The three strips areheld together by two rivets of 5 mm diameter each.2.1 Make a neat detailed sketch of the assembly.2.2 If the three strips are fastened together at 15 0C, determine the shear stress set up inthe rivets when the temperature is raised to 21 0C.Note: The resistance of a rivet in double shear may be taken as 1.75 times the resistancein single shear.(For steel: E = 200 GPa and α = 11×10 -6/ 0C)(For aluminium: E = 70 GPa and α = 22×10-6/0C)
- A pair of wood components having a dimension of 100mm X 100mm is joined by means of glue as shown. Determine the maximum axial load F, that most nearly can be subject to the woodpost without exceeding a maximum shear stress of 1650 KPa parallel to the cross section in kN.A 5 ft. long laminated wood beam is built up by gluing together three 2” x 6” boards to form asolid beam 6” x 6” cross section, as shown in the figure. Calculate the maximum allowable valueof P (lb.) such that both the (1) allowable shear stress in the glued joints of 100 psi and the (2)allowable bending stress of 1200 psi is not exceeded. (Disregard the weight of the beam).[Formula: Bending Stress: = (M)(y)/I; max = (M)(c)/I; Transverse Shear Stress: =(V)(Q)/(I*t); max = (V)(QNA)/(I*tNA)]Two pieces of wood are glued together, find the maximum load which the glued wood could carry that must not exceed 12 MPa normal stress and 7 MPa shear stress. P 30° P 100 mm Glued Section 100 mm
- What is the characteristic strength of a mild steel reinforcement bar? Select one: O a. 415 N 415 N/mm O C. 250 N d. 250 N/mmDetermine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mmA 6m-simply supported beam cross-section is show in the figure below is prestressed with 15 wires of 5mm diameter at the bottom and 3 wires at the top. Assuming prestress in steel is 840 MPa and the density of concrete is 24kN/cu.m. Calculate the stress at bottom extreme fiber at midspan. (MPa) 250 mm- 25 mm 350 mm 65 mm