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The circular punch B exerts a force of 2 kN on the top of the plate A. Determine the average shear stress in the plate due to this loading.

13 viewssaamSolving Asked question 14/02/2025

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To the nearest 1/16 in., determine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC is σ_allow = 29 ksi and the allowable shear stress for the pins is σ_allow = 10 ksi.

13 viewssaamSolving Asked question 14/02/2025

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The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 8 kN, determine the average normal stress in the shank, the average shear stress along the cylindrical area of the plate defined by the section lines a–a, and the average shear stress in the bolt head along the cylindrical area defined by the section lines b–b.

12 viewssaamSolving Asked question 14/02/2025

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The beam AB is pin supported at A and supported by a cable BC. A separate cable CG is used to hold up the frame. If AB weighs 120 lb/ft and the column FC has a weight of 180 lb/ft, determine the resultant internal loadings acting on cross sections located at points D and E. Neglect the thickness of both the beam and column in the calculation.

13 viewssaamSolving Asked question 14/02/2025

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The pin support A and roller support B of the bridge truss are supported on the concrete abutments. If the square bearing plates at C and D are 21 in. × 21 in., and the bearing failure stress for concrete is (σ_fail)_b = 4 ksi, determine the factor of safety against bearing failure for the concrete under each plate.

14 viewssaamSolving Asked question 14/02/2025

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The pin support A and roller support B of the bridge truss are supported on concrete abutments. If the bearing failure stress of the concrete is (σ_fail)_b = 4 ksi, determine the required minimum dimension of the square bearing plates at C and D to the nearest 1/16 in. Apply a factor of safety of 2 against failure.

15 viewssaamSolving Asked question 14/02/2025

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The aluminum bracket A is used to support the centrally applied load of 8 kip. If it has a constant thickness of 0.5 in., determine the smallest height h in order to prevent a shear failure. The failure shear stress is τ_fail = 23 ksi. Use a factor of safety for shear of F.S. = 2.5.

12 viewssaamSolving Asked question 14/02/2025

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The rods AB and CD are made of steel. Determine their smallest diameter so that they can support the dead loads shown. The beam is assumed to be pin connected at A and C. Use the LRFD method, where the resistance factor for steel in tension is ϕ = 0.9, and the dead load factor is γ_D = 1.4. The failure stress is σ_fail = 345 MPa.

11 viewssaamSolving Asked question 14/02/2025

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If the allowable bearing stress for the material under the supports at A and B is (σ_b)_allow = 1.5 MPa, determine the maximum load P that can be applied to the beam. The bearing plates A′ and B′ have square cross sections of 150 mm × 150 mm and 250 mm × 250 mm, respectively.

10 viewssaamSolving Asked question 14/02/2025

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If the allowable bearing stress for the material under the supports at A and B is (σ_b)_allow = 1.5 MPa, determine the size of square bearing plates A′ and B′ required to support the load. Dimension the plates to the nearest mm. The reactions at the supports are vertical. Take P = 100 kN.

11 viewssaamSolving Asked question 14/02/2025

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Determine the maximum allowable load P that can be safely supported by the frame if t = 1.25 in. and b = 3.5 in. The wood has a normal failure stress of σ_fail = 6 ksi, and shear failure stress of τ_fail = 1.5 ksi. Use a factor of safety against failure of 2.

10 viewssaamSolving Asked question 14/02/2025

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Determine the required minimum thickness t of member AB and edge distance b of the frame if P = 9 kip and the factor of safety against failure is 2. The wood has a normal failure stress of σ_fail = 6 ksi, and shear failure stress of τ_fail = 1.5 ksi.

10 viewssaamSolving Asked question 14/02/2025

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The compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is (σ_t)_allow = 150 MPa and the allowable bearing stress for the wood is (σ_b)_allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.

11 viewssaamSolving Asked question 14/02/2025

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The two aluminum rods AB and AC have diameters of 10 mm and 8 mm, respectively. Determine the largest vertical force P that can be supported. The allowable tensile stress for the aluminum is σ_allow = 150 MPa.

10 viewssaamSolving Asked question 14/02/2025

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The two aluminum rods support the vertical force of P = 20 kN. Determine their required diameters if the allowable tensile stress for the aluminum is σ_allow = 150 MPa.

11 viewssaamSolving Asked question 14/02/2025

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The beam is made from southern pine and is supported by base plates resting on brick work. If the allowable bearing stresses for the materials are (σ_pine)_allow = 2.81 ksi and (σ_brick)_allow = 6.70 ksi, determine the required length of the base plates at A and B to the nearest 1/4 inch in order to support the load shown. The plates are 3 in. wide.

11 viewssaamSolving Asked question 14/02/2025

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The frame is subjected to the load of 4 kN which acts on member ABD at D. Determine the required diameter of the pins at D and C if the allowable shear stress for the material is τ_allow = 40 MPa. Pin C is subjected to double shear, whereas pin D is subjected to single shear.

10 viewssaamSolving Asked question 14/02/2025

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The 60 mm × 60 mm oak post is supported on the pine block. If the allowable bearing stresses for these materials are σ_oak = 43 MPa and σ_pine = 25 MPa, determine the greatest load P that can be supported. If a rigid bearing plate is used between these materials, determine its required area so that the maximum load P can be supported. What is this load?

10 viewssaamSolving Asked question 14/02/2025

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The steel pipe is supported on the circular base plate and concrete pedestal. If the thickness of the pipe is mm and the base plate has a radius of 150 mm, determine the factors of safety against failure of the steel and concrete. The applied force is 500 kN, and the normal failure stresses for steel and concrete are (σfail)st = 350 MPa and respectively (σfail)con = 25 MPa, respectively.

10 viewssaamSolving Asked question 14/02/2025

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The steel pipe is supported on the circular base plate and concrete pedestal. If the normal failure stress for the steel is (σfail)st = 350 MPa, determine the minimum thickness t of the pipe if it supports the force of 500 kN. Use a factor of safety against failure of 1.5. Also, find the minimum radius r of the base plate so that the minimum factor of safety against failure of the concrete due to bearing is 2.5. The failure bearing stress for concrete is (σfail)con = 25 MPa

11 viewssaamSolving Asked question 14/02/2025

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