751. A timber beam with a square cross section supports the loads shown in Fig. P-751. Determine the cross-sectional dimensions if the allowable flexural stress is 1450 psi. What is the maximum shearing stress developed in the beam? 450 lb 200 lb/ft 3 ft- -9 ft- Figure P-751
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- Two pieces of lumber having square section (b x b) are arranged and supported as shown. The horizontal lumber is hinged at the left and free at right. The right end carries a concentrated load P. The vertical lumber supports the horizontal lumber at the midspan. Find the following: a) maximum shear stress, b) maximum bending stress, and c) maximum compressive stress. Hinge DATA FOR PROBLEM 1 P (N ) (m ) m m) (m m) L 6 504 5 1.38 14 4 14 4Two pieces of lumber having square section (b x b) are arranged and supported as shown. The horizontal lumber is hinged at the left and free at right. The right end carries a concentrated load P. The vertical lumber supports the horizontal lumber at the midspan. Find the following: a) maximum shear stress, b) maximum bending stress, and c) maximum compressive stress. Hinge DATA FOR PROBLEM P L b (N ) (m ) (m m ) (m m ) 6 5040 1.47 140 140A cantilever wood beam consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep. Each plank has a width of b - 4.3 in. The cantilever beam has a length of L- 5.9 ft and it supports a concentrated load of P- 3500 Ib. (a) Calculate the magnitude of the horizontal shear stress at points A, B. C, and D. (b) From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam. 2 in. (typ) B D 16 in. Answer: TA i psi Te-i psi TC-i psi TD- i psi Save for Later Attempts: 0 of 1 used Submit Answer
- Two pieces of lumber having square section (b x b) are arranged and supported as shown. The horizontal lumber is hinged at the left and free at right. The right end carries a concentrated load P. The vertical lumber supports the horizontal lumber at the midspan. Find the following: a) maximum shear stress, b) maximum bending stress, and c) maximum compressive stress. P Hinge DATA FOR PROBLEM 1 b b (N ) (m ) (m m ) (m m ) 6 5040 1.38 146 1461. Determine the ∅Mn 2. Determine the Actual Steel Strain 3. Determine the Factored Design Moment, Mu 4 Can the Beam section carry the given Load?2. Per ACI318-19, choose the correct value of the strength reduction factor ø for the flexural capacity of a beam with ɛ = tension face. 0.0032, where & is the strain for steel reinforcement closest to the (A)0.9 (B) 0.85 (C) 0.75 (D)0.65
- Q2: supported beam made of steel , E=200 Gpa shown in fig 2a loaded with concentrated load of p=10 kN. The cross section area shown if fig 2b, and the beam have the following dimension a = 3.2 m, b=1.6 m, c= 80 mm, t= 25 mm, h= 90 mm. Find the maximum shearing stress and the flexural stress of simply c/2 P a b h B はt Fig 2a Fig 2b2. The beam shown is prestressed using a bonded (stress relieved tendons) with a specified tensile strength of prestressing tendons fpu = 1350 MPa, and fc' = 35 MPa. The area prestressed reinforcement in tension zone Aps = 1000 mm?. The specified yield strength of prestressing tendons fpy = 1160 MPa. 0.85fc' C a 430 (d-a/2) Ap=1000 T=ApsSps 250 a. Determine the value of the stress in prestressed reinforcement at nominal strength. b. Determine the value of the depth of the compression block. c. Which of the following gives the ultimate moment capacity of the prestressed beam.Question 15 The design shear resistance, Vpl.Rd of a fully restrained simply supported Universal Beam with yield strength 345 N/mm² is 1,285 kN A point load of magnitude 1,906 kN is applied at the beam's mid-span The area of the web of the beam is Aw = 5,505 mm² The plastic modulus is Wpl.y = 2,979 cm³ The thickness of the beam web is tw = 12.6 mm Find the reduced design moment of resistance of the beam Mc,Rd (use the formula for l-cross-sections with equal flanges and bending about the major axis) Give your answer in kNm to the nearest whole number. Do not include units in your answer.
- A floor sheathing is supported by 75 mm x 250 mm wooden joists of unknown spacing. The joist has an effective span of 3.75 m. The total floor load transmitted by the sheathing to the joist is at 4.75 KPa. Using the weight of wood Modulus of elasticity E= 13800 MPa. Allowable bending stress is 15.8 MPa. with the allowble shear stress equal to Design the spacing of the floor joist if deflection limit is 6.00 KN/m³. 0.90 MPa. L / 350. Floor Sheathing Floor JoistTwo vertical forces are applied to a beam of the cross section shown in Fig.2. Determine the maximum tensile and compressive stresses in portion BC of the beam.(Take R=h=25mm). 4 kN 4KN -le A What B 300 mm 300 mmFor the cantilever beam shown. find the value of Normal stress due to axial load at :point F FO ce A 10 m Diameter 100 mm 6 KN.m No stresses at point D 0 -31.229 Mpa +40.99 Mpa -0.25 Mpa +40.49 Mpa No stresses at point F No stresses at point A No stresses at point B +0.25 Mpa +40.74 Mpa No stresses at point C -40.99 Mpa +31.229 Mpa -40.74 Mpa +30.55 Mpa -40.49 Mpa +0.679 Mpa -0.679 Mpa No stresses at point E -30.55 Mpa