RC Structures and Moment of Resistance Calculations

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Questions and Answers

Match the following types of failure with their corresponding condition:

Balanced failure = p = p_b Compression failure = p > p_b Tension failure = p < p_b No failure = p = 0

Match the following reinforcement ratios with their respective reactions:

p = 0.01 = Tension failure p = 0.013 = Balanced failure p = 0.01611 = Tension failure p = 0.02 = Balanced failure

Match the following concrete grades with their corresponding $f_{cd}$ values:

C16 = $1.25$ C20 = $1.25$ C25 = $1.56$ C30 = $1.75$

Match the concepts with their definitions or characteristics:

$M_r$ = Moment resistance $p_b$ = Balanced reinforcement ratio $f_{yd}$ = Design yield strength of steel $f_{cd}$ = Design compressive strength of concrete Signup and view all the answers

Match the materials with their strengths:

B420C = $f_{yk} = 420 N/mm^2$ C16 = $f_{cd} = 16.7 N/mm^2$ C20 = $f_{cd} = 20 N/mm^2$ C25 = $f_{cd} = 25 N/mm^2$ Signup and view all the answers

Match the following formulas with their application:

$M_r = p_b.b.w.d^2.f_{yd}(1-0.599.rac{p.f_{yd}}{f_{cd}})$ = For calculating moment resistance $A_{st} = 0.85 f_{cd} b.w.a$ = For calculating reinforcement area $σ_s = 600 k_1 rac{d-a}{a}$ = To determine stress in steel $p_b = 0.85 k_1 rac{f_{cd}.600}{f_{yd}.600+f_{yd}}$ = To find balanced reinforcement ratio Signup and view all the answers

Match the following structural elements with their components:

RC-section = Reinforced concrete section Bending = Moment applied shear = Force applied perpendicular Axial load = Load along the axis Signup and view all the answers

Match the following failure types with their characteristic strains:

Balanced failure = $ε_s= ε_{sgd} = rac{f_{yd}}{ε_s}$ Compression failure = $ε_{cu} = 0.003$ Tension failure = $ au_s < f_{yd}$ No failure = None of the above Signup and view all the answers

Match the types of steel processing with their characteristics:

Hot rolled = Processed at high temperatures Cold worked = Processed at room temperature Signup and view all the answers

Match the concrete mix related terms with their definitions:

Ecu = Strain limit for concrete p = Ratio of tensile reinforcement area to the beam dimensions Signup and view all the answers

Match the properties of reinforcement with the appropriate values:

$φ_{min}$ = $7-12mm$ minimum diameter $S_{max}$ = $0.85p rac{f_{yd}}{f_{cd}}$ Signup and view all the answers

Match the failure modes with their criteria:

Tension failure = $p < p_b$ Compression failure = $σ_s = f_{yd}$ at failure point Signup and view all the answers

Match the minimum spacing criteria for reinforcement with the specific terms:

$S_{min}$ = $0.8 rac{f_{yd}}{f_{cd}}$ $S_{max}$ = Up to $0.02$ Signup and view all the answers

Match terms related to stress distribution in beams with their symbols:

$A_{sfyd}$ = Area of effective tensile reinforcement $M_r$ = Moment capacity Signup and view all the answers

Match the parameters related to the tension failure with their descriptions:

$ε_s ≥ ε_{syd}$ = Steel strain exceeds yield strain $A_{sfyd}$ = Calculated using $A_{sfyd} = 0.85 f_{cd} a.b.w$ Signup and view all the answers

Match the strain characteristics of concrete with their limits:

$Ecu$ = $0.003$ strain limit $p_b$ = Critical point of reinforcement ratio Signup and view all the answers

Match the definitions to the terms used in beam reinforcement:

$a$ = Depth of neutral axis related to tensile area $d$ = Effective depth of the beam Signup and view all the answers

Match the terms of tension reinforcement configuration with their values:

$p$ = Concrete tensile reinforcement ratio $A_s$ = Tensile area of reinforcement Signup and view all the answers

Match the failure modes in beams with their explaining factors:

Tension failure = Corresponds with $p < p_b$ Compression failure = Involves excessive stress on compressive components Signup and view all the answers

Match the reinforcement design parameters with their formulas:

$M_r$ = $p_b.b.w.d^2.f_{yd}(1-0.599)$ $S_{min}$ = $0.8 rac{f_{yd}}{f_{cd}}$ Signup and view all the answers

Match the reinforcement spacing descriptions with their criteria:

$S_{min}$ = Minimum distance between reinforcement $S_{max}$ = Maximum allowable distance for effective stress distribution Signup and view all the answers

Flashcards

Balanced Failure

A type of failure where tensile and compressive stresses are in equilibrium in a reinforced concrete member, resulting in simultaneous yielding of reinforcement and crushing of concrete.

Compression Failure

A type of failure in concrete where the concrete crushes before the reinforcement yields, if $p > p_b$ .

Reinforcement Ratio (p)

The ratio of the area of steel reinforcement to the area of the concrete section.

Balanced Reinforcement Ratio (p_b)

The reinforcement ratio at which the concrete and steel reach their yield strength simultaneously, marking the transition between tension and compression failures.