# homogeneous bar

## Problem 531 | Friction

**Problem 531**

A uniform plank of weight W and total length 2L is placed as shown in Fig. P-531 with its ends in contact with the inclined planes. The angle of friction is 15°. Determine the maximum value of the angle α at which slipping impends.

## Solution to Problem 244 Statically Indeterminate

**Problem 244**

A homogeneous bar with a cross sectional area of 500 mm^{2} is attached to rigid supports. It carries the axial loads P_{1} = 25 kN and P_{2} = 50 kN, applied as shown in Fig. P-244. Determine the stress in segment BC. (Hint: Use the results of Prob. 243, and compute the reactions caused by P_{1} and P_{2} acting separately. Then use the principle of superposition to compute the reactions when both loads are applied.)

## Solution to Problem 243 Statically Indeterminate

**Problem 243**

A homogeneous rod of constant cross section is attached to unyielding supports. It carries an axial load P applied as shown in Fig. P-243. Prove that the reactions are given by R_{1} = Pb/L and R_{2} = Pa/L.

## Solution to Problem 114 Normal Stress

## Solution to Problem 106 Normal Stress

**Problem 106**

The homogeneous bar shown in Fig. P-106 is supported by a smooth pin at C and a cable that runs from A to B around the smooth peg at D. Find the stress in the cable if its diameter is 0.6 inch and the bar weighs 6000 lb.