**Column Selection Based on Load Requirements****Problem Statement:**a) Select the least-weight W8 A992 column to carry a dead load of 20 kips and a live load of 50 kips with an effective length about both axes of 25 ft by LRFD (Load and Resistance Factor Design) and ASD (Allowable Stress Design).b) If the effective length is 32 ft, select the lightest-weight W12 to support the load by LRFD.---**Guidance for Solution:**1. **Load and Resistance Factor Design (LRFD):** This method involves selecting a column based on factored loads, considering both dead and live loads with specific load factors.2. **Allowable Stress Design (ASD):** This method relies on service load levels and ensures that stress in a member does not exceed the allowable stress.3. **Effective Length:** Consider the effective length factors when calculating the load-carrying capacity of columns. The given lengths are crucial in determining the column's stability and buckling resistance.4. **Material Specification:** The specification W8 A992 and W12 refers to the column shape and steel grade, essential for determining strength and weight.The task involves using steel design tables or software to find the optimal column size based on the given constraints and load requirements.

Grade of steel=A992Dead load, DL=20 kipsLive load, LL=50 kipsEffective length, Le =25 ftFor A992 steel, yield stress, By LRFD :From AISC manual, tables 4-1, least column for design strength more than 104 kips having effective length 25 ft was W8 x 35 with available strength of 106.65 kips > 104 kips (adequate)Select W8 x 35 By ASD :Pu = DL + LLPu = 20 + 50 = 70 kipsFrom AISC manual, tables 4-1, least column for design strength more than 70 kips having effective length 25 ft was W8 x 35 with available strength of 71.1 kips > 70 kips (adequate)By LRFD :From AISC manual, tables 4-1, least column for design strength more than 104 kips having effective length 32 ft was W12 x 53 with available strength of 147 kips > 104 kips (adequate)Select W12 x 53 a) Select W8 x 35 for both LRFD and ASDb) Select W12 x 40

Engineering

Civil Engineering

Select the least-weight W8 A992 column to carry a dead load of 20 kips and a live load of 50 kips with an effective length about both axes of 25 ft by LRFD and ASD b- if the effective length is 32 ft, select the lightest-weight W12 to support the load by LRFD

Select the least-weight W8 A992 column to carry a dead load of 20 kips and a live load of 50 kips with an effective length about both axes of 25 ft by LRFD and ASD b- if the effective length is 32 ft, select the lightest-weight W12 to support the load by LRFD

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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