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Question 43938

posted 9 months ago

The couple M acts in a vertical plane and is applied to a beam oriented as shown. Determine (a)the angle that the neutral axis forms with the horizontal, (b) the maximum tensile stress in the beam.

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Question 43934

posted 9 months ago

Two forces P can be applied separately or at the same time to a plate that is welded to a solid circular bar of radius r. Determine the largest compressive stress in the circular bar, (a) when both forces are applied, (b) when only one of the forces is applied.

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Question 43936

posted 9 months ago

An eccentric force P is applied as shown to a steel bar of 25 × 90-mm cross section. The strainsat A and B have been measured and found to be
\varepsilon_{\mathrm{A}}=+350 \mu \quad \varepsilon_{B}=-70 \mu
\text { Knowing that } E=200 \mathrm{GPa} \text {, determine }(a) \text { the distance } d,(b) \text { the magnitude of the force P. }

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Question 43935

posted 9 months ago

To provide access to the interior of a hollow square tube of 0.25-in. wall thickness, the portion CD of one side of the tube has been removed. Knowing that the loading of the tube is equivalent to two equal and opposite 15-kip forces acting at the geometric centers A and E of the ends of the tube, determine (a) the maximum stress in section a-a, (b) the stress at point F. Given: The centroid of the cross section shown is at C and I; = 4.81 in“.

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Question 43937

posted 9 months ago

The couple M is applied to a beam of the cross section shown in a plane forming an angle B with the vertical. Determine the stress at (a) point A, (b) point B, (c) point D.

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Question 43940

posted 9 months ago

The steel (E = 200 GPa) beam in Figure 1 is subjected to load P.%3D
\text { 1. The second moment of area around axis } z-z \text { (in } m^{4} \text { ) }
\text { 2. The maximum first moment of area } Q \text { (in } \mathrm{m}^{3} \text { ) }
The maximum load (Pmax) if the maximum bending stress is not to exceed 110 MPa and the maximum shear stress is not to exceed 55 MPa [4 Marks]
. The resulting bending and shear stresses due to P max at a point located at x=0 from the external support and y = +25mm from the centroid. [4 Marks]
\text { The principal stresses } \sigma_{1} \text { and } \sigma_{2} \text { and the angle } \theta_{p} \text { at that point }
\text { The maximum shear stress } \tau_{\max } \text { and the angle } \theta_{\tau} \text { at that point }
The beam deflection at x = 2.5m.

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Question 44048

posted 9 months ago

A steel bar (E, = 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown. Determine the maximum stress in (a) the aluminum, (b) the steel, when the bar is bent about a horizontal axis, with M = 60 N ·m.

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Question 44047

posted 9 months ago

Three wooden beams and two steel plates are securely bolted together to form the composite member shown. Using the data given in the table, determine the largest permissible bending moment when the member is bent about a horizontal axis.

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Question 44049

posted 9 months ago

A concrete slab is reinforced by 5/8–in.-diameter steel rods placed on 5.5-in. centers as shown.The modulus of elasticity is 3 x 10-psi for the concrete and 29 x 10-psi for the steel. Using an allowable stress of 1400 psi for the concrete and 20 ksi for the steel, determine the largest bending moment in a portion of slab 1 ft wide.

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Question 44050

posted 9 months ago

Knowing that M = 250 N ·m, determine the maximum stress in the beam shown when the radius r of the fillets is (a)4 mm, (b) 8 mm.

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