# compressive stress

## Solution to Problem 270 Thermal Stress

**Problem 270**

A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an initial stress of 2000 psi in the bronze. For the steel bolt, A = 0.75 in^{2}, E = 29 × 10^{6} psi, and α = 6.5 × 10^{-6} in/(in·°F). For the bronze sleeve, A = 1.5 in^{2}, E = 12 × 10^{6} psi and α = 10.5 × 10^{-6} in/(in·°F). After a temperature rise of 100°F, find the final stress in each material.

## Solution to Problem 265 Thermal Stress

**Problem 265**

A bronze bar 3 m long with a cross sectional area of 320 mm^{2} is placed between two rigid walls as shown in Fig. P-265. At a temperature of -20°C, the gap Δ = 2.5 mm. Find the temperature at which the compressive stress in the bar will be 35 MPa. Use α = 18.0 × 10^{-6} m/(m·°C) and E = 80 GPa.

## Solution to Problem 250 Statically Indeterminate

**Problem 250**

In the assembly of the bronze tube and steel bolt shown in Fig. P-250, the pitch of the bolt thread is p = 1/32 in.; the cross-sectional area of the bronze tube is 1.5 in.^{2} and of steel bolt is 3/4 in.^{2} The nut is turned until there is a compressive stress of 4000 psi in the bronze tube. Find the stresses if the nut is given one additional turn. How many turns of the nut will reduce these stresses to zero? Use E_{br} = 12 × 10^{6} psi and E_{st} = 29 × 10^{6} psi.

## Solution to Problem 233 Statically Indeterminate

## Solution to Problem 131 Bearing Stress

**Problem 131**

Repeat Problem 130 if the rivet diameter is 22 mm and all other data remain unchanged.

## Solution to Problem 130 Bearing Stress

**Problem 130**

Figure P-130 shows a roof truss and the detail of the riveted connection at joint *B*. Using allowable stresses of τ = 70 MPa and σ_{b}= 140 MPa, how many 19-mm-diameter rivets are required to fasten member *BC* to the gusset plate? Member *BE*? What is the largest average tensile or compressive stress in *BC* and *BE*?

## Solution to Problem 123 Shear Stress

**Problem 123**

A rectangular piece of wood, 50 mm by 100 mm in cross section, is used as a compression block shown in Fig. P-123. Determine the axial force P that can be safely applied to the block if the compressive stress in wood is limited to 20 MN/m^{2} and the shearing stress parallel to the grain is limited to 5MN/m^{2}. The grain makes an angle of 20° with the horizontal, as shown. (Hint: Use the results in Problem 122.)

## Solution to Problem 116 Shear Stress

**Problem 116**

As in Fig. 1-11c, a hole is to be punched out of a plate having a shearing strength of 40 ksi. The compressive stress in the punch is limited to 50 ksi. (a) Compute the maximum thickness of plate in which a hole 2.5 inches in diameter can be punched. (b) If the plate is 0.25 inch thick, determine the diameter of the smallest hole that can be punched.

## Normal Stresses

Stress is defined as the strength of a material per unit area or unit strength. It is the force on a member divided by area, which carries the force, formerly express in psi, now in N/mm^{2} or MPa.

where P is the applied normal load in Newton and A is the area in mm^{2}. The maximum stress in tension or compression occurs over a section normal to the load.

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## Solution to Problem 113 Normal Stress

**Problem 113**

Find the stresses in members BC, BD, and CF for the truss shown in Fig. P-113. Indicate the tension or compression. The cross sectional area of each member is 1600 mm^{2}.