Minimum length of cables linking to one point Jhun Vert Wed, 05/06/2020 - 10:12 pm

Problem
A 5-m line AD intersect at 90° to line BC at D so that BD is 2 m and DC = 3 m. Point P is located somewhere on AD. The total length of the cables linking P to points A, B, and C is minimized. How far is P from A?

## Solution to Problem 114 Normal Stress

Problem 114
The homogeneous bar ABCD shown in Fig. P-114 is supported by a cable that runs from A to B around the smooth peg at E, a vertical cable at C, and a smooth inclined surface at D. Determine the mass of the heaviest bar that can be supported if the stress in each cable is limited to 100 MPa. The area of the cable AB is 250 mm2 and that of the cable at C is 300 mm2. ## Solution to Problem 109 Normal Stress

Problem 109
Determine the largest weight W that can be supported by two wires shown in Fig. P-109. The stress in either wire is not to exceed 30 ksi. The cross-sectional areas of wires AB and AC are 0.4 in2 and 0.5 in2, respectively. ## 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. ## Problem 007-cb | Analysis of Cabled Frame

Problem 007-cb
In the structure shown in Fig. CB-007(FR), members BCE, and CD are assumed to be solid rigid members. Members AE and DE are cables. For this structure, determine the
reaction at B. ## Problem 005-mm | Method of Members

Problem 005-cb
For the cabled structure in Fig. 005(FR-CB), member ABC which is assumed to be rigid is pinned at A and held in equilibrium by cable CD. For this structure, determine the reaction at A and the tension in the cable. ## Problem 004-mm | Method of Members

Problem 004-mm
For the structure shown in Fig. FR-004(MM), members AD, DC, and ABC are assumed to be solid rigid members; member ED is a cable. For this structure, determine the reaction at A, the tension on cable ED, and the force in member DC. ## Problem 001-mm | Method of Members

Problem 001-mm
The structure shown in Fig F-001(MM) is pinned together at points A, B, and C and held in equilibrium by the cable CD. A load of 12,000 lb is acting at the midpoint of member AB, and a load of 8000 lb is applied at point C. Determine the reaction at A, the internal force in member BC, and the tension on cable CD. ## Problem 357 | Equilibrium of Non-Concurrent Force System

Problem 357
The uniform rod in Fig. P-357 weighs 420 lb and has its center of gravity at G. Determine the tension in the cable and the reactions at the smooth surfaces at A and B. ## Problem 347 | Equilibrium of Non-Concurrent Force System

Problem 347
Repeat Problem 346 if the cable pulls the boom AB into a position at which it is inclined at 30° above the horizontal. The loads remain vertical. 