Soru

Zorluk: ZorTypes of Stress and Strain

A rigid horizontal strut extends outward from a vertical building wall to support a heavy sign. The outer end of the strut is supported by a diagonal steel cable anchored to the wall above. The inner end of the strut is connected to a wall bracket using a heavy-duty steel pin. When the sign's weight is applied to the outer end of the strut, what primary types of internal mechanical stress are experienced by the diagonal cable, the horizontal strut, and the steel pin, respectively?

  1. Cable: Tension; Strut: Compression; Pin: ShearCevap
  2. B
    Cable: Tension; Strut: Tension; Pin: Compression
  3. C
    Cable: Compression; Strut: Tension; Pin: Shear
  4. D
    Cable: Tension; Strut: Compression; Pin: Tension

Cevap

The correct answer identifies the cable under tension, the strut under compression, and the pin under shear.
The correct answer accurately evaluates the stress on all three components. The diagonal cable must stretch to hold up the heavy sign, placing it under tension. This tension has an inward horizontal pull, which squeezes the horizontal strut against the wall, creating compressive stress. Finally, the downward weight acting on the wall bracket tries to slide or slice perpendicularly across the steel pin, subjecting it to shear stress.

Adım Adım Çözüm

1
Analyze the forces acting on the diagonal cable.
The cable must pull upward and backward toward the wall to support the downward weight of the sign.
Supporting a downward load from above requires an upward pulling force, which stretches the material and creates tension.
2
Analyze the forces acting on the horizontal strut.
The inward horizontal component of the cable's tension pulls the outer end of the strut firmly against the wall.
Because the strut is being squeezed between the cable's attachment point and the wall bracket, it experiences compressive stress.
3
Analyze the forces acting on the wall bracket pin.
The downward weight of the strut and load pushes perpendicularly against the cross-section of the connecting pin.
Forces acting parallel to the cross-section of a fastener, trying to slice through it, cause shear stress.

Anahtar Kavram

Identifying applied structural loads (Tension, Compression, Shear)
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