The rigid bars AC and BCD are supported by pins at A and B and by a steel rod at D. There is a roller connection between the bars at C. Compute the vertical displacement of point D caused by the loading. Cross-sectional area of rod is 250 mm² and E = 200 GPa.

The rigid bar ABC is hinged at A and supported with a 6mm diameter steel wire at B. The bar is horizontal before the load W is applied at C. Assume the bar and the wire to be weightless. 1. If the allowable stress in the wire is 160MPa, the maximum load W (in kN) will not exceed 2. If the allowable downward movement at C is 9mm, the maximum load W (in kN) will not exceed 3. If the allowable stress in the wire is 180MPa and the weight of the bar is 80N/m, the maximum load W (in kN) is nearest to

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The bar DA is rigid and is originally held in the horizontal position. The wires are made of 304 stainless steel and have a diameter of 0.04 in. The weight W causes B to displace downward 0.06 in. Determine the downward displacement at C (in inches). E 5 ft 2 ft- 6 ft B A 6 ft W

= The strut AB made from two bars (thickness of each bar = 0.50 in) is connected to a rectangular beam CD (b 0.80 in x h = 7.5 in) at joint B. The beam carries a concentrated load of 2750 lb at the end joint D. (a) determine the minimum diameter of the bolt at B if the shearing stress in the bolt is not to exceed 14000 psi. (b) determine the minimum diameter of the bolt at B if the allowable bearing stress in the bar plate is 20000 psi. Detail of joint B 3 ft (O с A 5 ft O B 6 ft D 2750 lb 3.75 in 3.75 in 0 in 0.80 Strut AB Beam CD (b Xh) Bolt (dmin) -0.50 in

help find the stress at segment BC, please

10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C. 275 mm Connection detail (1) Rigid bar 540 mm 135 mm 260 mm

Determine the maximum distance d to the edge of the plate at which the force P can be applied so that it produces no compressive stresses on the plate at section a-a. The plate has a thickness of 20 mm and P acts along the centerline of this thickness. 200 mm a

The bar is snugly fit between points C and A before the loading is applied at Collar B. Assume E = 200 GPa for the steel. The circular bars in the assembly are solid. The bars are solid with a diameter of 15 mm. Assume a fixed rigid support at C and A. A C В 6 kN 3 m 2 m A) Show the FBD and compatibility equation for this problem. B) Determine the support reactions at A and C. (Horizontal forces only) Left side: Fc = Right side: FA =

*2-16. The nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P Is appliled to the roller, determine the normal strain in the cord when the roller is at C, and at D. If the cord is originally unstrained when it is at C, determine the normal strain ElD when the roller moves to D. Show that if the displacements Ac and AD are small, then Elp=ED- EC. C.