Question

Two steel rods of equal length are supported and loaded as shown in Figure P4.5. Rod AB is elastic-perfectly plastic and has yield strength YAB = 250 MPa. Rod BC is assumed to remain elastic. Both rods have cross-sectional area A = 25 mm2 and E = 200 GPa. A horizontal load P is applied at B. Load P is initially zero and increases to 20 kN. From that point, the load is slowly cycled from 20 kN to -20 kN to 20 kN. Construct a load P versus displacement u curve for the system. FIGURE P4.5

          Two steel rods of equal length are supported and loaded as shown in Figure P4.5. Rod AB is elastic-perfectly plastic and has yield strength YAB = 250 MPa. Rod BC is assumed to remain elastic. Both rods have cross-sectional area A = 25 mm2 and E = 200 GPa. A horizontal load P is applied at B. Load P is initially zero and increases to 20 kN. From that point, the load is slowly cycled from 20 kN to -20 kN to 20 kN. Construct a load P versus displacement u curve for the system.
FIGURE P4.5

Two steel rods of equal length are supported and loaded as shown in Figure P4.5. Rod AB is elastic-perfectly plastic and has yield strength YAB = 250 MPa. Rod BC is assumed to remain elastic. Both rods have cross-sectional area A = 25 mm2 and E = 200 GPa. A horizontal load P is applied at B. Load P is initially zero and increases to 20 kN. From that point, the load is slowly cycled from 20 kN to -20 kN to 20 kN. Construct a load P versus displacement u curve for the system.
FIGURE P4.5

Added by Luisa S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

10/26/2023

Step 1

Determine the maximum load that can be applied to rod AB without causing plastic deformation. Since rod AB is elastic-perfectly plastic, it will start to deform plastically once the stress reaches its yield strength. The maximum load that can be applied without Show more…

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Two steel rods of equal length are supported and loaded as shown in Figure P4.5. Rod AB is elastic-perfectly plastic and has yield strength YAB = 250 MPa. Rod BC is assumed to remain elastic. Both rods have cross-sectional area A = 25 mm2 and E = 200 GPa. A horizontal load P is applied at B. Load P is initially zero and increases to 20 kN. From that point, the load is slowly cycled from 20 kN to -20 kN to 20 kN. Construct a load P versus displacement u curve for the system. FIGURE P4.5